The following is the new module that instantiates the given code twice:
module segment_ twice(input logic [7:0] sw, output logic [13:0] leds);logic [3:0] bcd0, bcd1;segment seg0(bcd0, leds [6:0]);segment seg1(bcd1, leds [13:7]);assign bcd0 = sw[3:0];assign bcd1 = sw[7:4];end module
The new module "segment_twice" has been defined here, which instantiates the "segment" module twice and takes input from the switches to light up the seven-segment displays. In this case, one seven-segment display is connected to Hex0 and the other is connected to Hex1. As a result, two outputs have been defined in the new module, each with 7 bits to cover all seven-segment display LEDs. The logic required for the switches to light up the displays has been defined using "assign" statements, which feed the relevant switch signals to the "bcd0" and "bcd1" inputs of the "segment" modules.
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What is the front element of the following priority queue after the following sequence of enqueues and dequeues in the following program fragment? priority_queue,greater>pq; pq.push (10); pq.push (30); pq.push (20); pq.pop(); pq.push (5); pq.pop(); pq.push (1); pq.pop(); pq.push (12); pq.push (8); 8 O 12 O 1 30
An element is arranged in a priority queue according to its priority value. Usually, components with higher priorities are retrieved before those with lower priorities.
Thus, Each entry in a priority queue has a priority value assigned to it. An element is added into the queue in a position determined by its priority value when you add it.
An element with a high priority value, for instance, might be added to a priority queue near the front of the queue, whereas an element with a low priority value might be added to the queue near the back.
A priority queue can be implemented in a variety of methods, such as utilising an array, linked list, heap, or binary search tree.
Thus, An element is arranged in a priority queue according to its priority value. Usually, components with higher priorities are retrieved before those with lower priorities.
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A- Apply The Gram-Schemidt Procedure Ti Drive Orthonormal Basis Signal Set For The Signal Space Generated By The
The Gram-Schmidt process can be used to produce an orthonormal basis signal set for the signal space produced by the linearly independent signal set.
A linearly independent signal set is said to be orthonormal if it contains signals that are both orthogonal (perpendicular) and normalized. To achieve this, the Gram-Schmidt process is used.To apply the Gram-Schmidt procedure, given an initial linearly independent set of signals {u₁, u₂, …, un} which are not necessarily orthogonal or normalized, proceed as follows: Find the first signal of the new orthonormal signal set: v₁ = u₁/‖u₁‖Normalize u₁ to generate v₁.
This implies that we divide u₁ by its magnitude (which is the square root of the sum of squares of all its elements), ||u₁||. This is to ensure that v₁ has a magnitude of one.Find the other signals of the new orthonormal signal set: Let k > 1.vk = uk − ∑_(j=1)^(k-1)⟨uk,vj⟩vjThus, for each k > 1, compute uk as the difference between itself and the sum of the dot product of uk and each of the orthonormal signals vj that come before it.
The dot product of two signals x and y is represented by ⟨x,y⟩.Then normalize vk to obtain the k-th signal of the new orthonormal signal set: vk = vk/||vk||. Repeat until all n signals have been computed and normalized, yielding the final orthonormal basis signal set {v₁, v₂, …, vn}.
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Write a program where the first input value determines number of values In the main part of the program, input the maximum allowed sum with a prompt of Maximum Sum > Pass this value to a function and do everything else in that function. First input the number of data items with a prompt Enter the number of data items> Then input the required number of data items (floats), except stop if the sum becomes too large (either greater than the max allowed or less than negative the max allowed). Prompt the user each time with Data value #X> <--- X is the number of the data item and update the sum. If the sum becomes larger in magnitude (greater than the max or less than negative the max, immediately print the message Sum: is larger in magnitude than the allowed maximum of and then return from the function. Otherwise, after the required number of values are input (probably at the end of the function) print the sum of the numbers with one decimal place: The sum of the values is: - Example sessions would be: Maximum Sum> 1000 Enter the number of data items> 2 Data value #1> 2.123 Data value #2> -1.012 The sum of the values is: 1.1 Maximum Sum> 1000 Enter the number of data items> 10 Data value #1> 100 Data value#2> -1190 Sum: -1090 is larger in magnitude than the maximum of 1000 descript names) Download each program you do as part of a zip file (this is an option in replit.com) Submit each zip file in D2L under "Assessments / Assignments" (there may be a link fre the weekly announcements). 1. Write a program that reads in data until a sentinel is read. In the main part of the program, input the maximum allowed product with a prompt of Maximum Product> Pass this value to a function and do everything else in that function Input float numbers (either positive or negative) until a zero is read, or the product is greater than the max allowed (or less than negative the max allowed). Prompt the user each time with Data value (0 to end)> and update the product. If the product becomes larger in magnitude (greater than the max or less than negative the max(), immediately print the message Product: ___ is larger in magnitude than the allowed maximum of_ and then return from the function. Otherwise, after the zero value is seen (probably at the end of the function) print the product of the numbers (excluding the zero) with two decimal places: The product of the values i Example sessions would be: Maximum Product> 1000 Data value (O to end)> 1.12 Data value (0 to end)> -1.12 Data value (0 to end)>0 The product of the values is: -1.25 Maximum Product > 1000 Data value (0 to end)> -10 Data value (0 to end)> 999 Product:-9990 is larger in magnitude than the maximum of 1000
Here is the program for reading input values to determine the number of values:```def data_input(max_allowed_sum): # Input the number of data items. num_data = int(input("Enter the number of data items: "))
sum_of_data = 0
for i in range(num_data):
# Prompt user to enter value of data item and update sum of data.
# Check if sum is greater than allowed maximum or less than negative allowed maximum.
if sum_of_data > max_allowed_sum or sum_of_data < -To know more about values visit:
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in python, Generate a list of 10 random numbers between 1 and 100. Use random.sample function. Write a program to then sort the list of numbers in ascending order.
To generate a list of 10 random numbers between 1 and 100 in Python, you can make use of the random.sample() function. Here is how you can do that: import random# and generate a list of 10 random numbers between 1 and 100 numbers = random.sample(range(1, 101), 10)This will generate a list of 10 unique random numbers between 1 and 100.
The second argument to the random.sample() function is the number of items you want to select from the sequence (in this case, the sequence is a range from 1 to 100).To sort the list of numbers in ascending order, you can use the sort() method. Here is how you can do that: numbers.sort()
This will sort the list of numbers in ascending order. Here is the complete program that generates a list of 10 random numbers between 1 and 100 and sorts them in ascending order: import random# generate a list of 10 random numbers between 1 and 100 numbers = random.sample(range(1, 101), 10)# sort the list of numbers in ascending order numbers.sort()print(numbers)Output: [7, 18, 28, 33, 53, 56, 61, 63, 68, 97]
Note that the output will be different every time you run the program since the list of random numbers is generated randomly.
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MAAAAAAA 30 Z The phasor form of the sinusoid 15 cos(20) + 15 sin(20) is Please report your answer so the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.
Given a sinusoid 15 cos(20) + 15 sin(20) in the phasor form is to be determined and the solution should be reported such that the magnitude is positive and all angles are in the range of negative 180 degrees to positive 180 degrees.Let us recall the conversion of trigonometric functions into their phasor forms:
When we have a sinusoidal function of time t given by y(t) =[tex]A cos(ωt + Φ)[/tex], we can write it in phasor form by replacing [tex]cos(ωt + Φ) with Re{Aej(ωt+Φ)} = Re{AejΦejωt} where AejΦ = A cos(Φ) + j A sin(Φ[/tex]) = amplitude of the phasor of y(t).Given that,15[tex]cos(20) + 15 sin(20) = 15 (cos(20) + sin(20))We know that, cos(θ) + sin(θ) = √2(sin(45 + θ))[/tex].
Therefore,[tex]15 cos(20) + 15 sin(20) = 15√2(sin(45 + 20))[/tex]Converting the equation to the phasor form, we have;[tex]15√2(sin(45 + 20)) = 10.6∠65°[/tex]Therefore, the phasor form of the given sinusoid[tex]15 cos(20) + 15 sin(20) is 10.6∠65°.[/tex]
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I need python for the Gauss Jordan elimination method that have forward and backward substitution
in format of : A^(-1)=B
only python coding . I need matrix a and vector b as well please read the question .
```The matrix A is defined as a 2D list, where each sublist represents a row in the matrix, and the vector B is defined as a 1D list. The function returns the solution x and the inverse of the matrix A as a tuple.
Here's the Python code for the Gauss-Jordan elimination method with forward and backward substitution, in the format A^(-1)=B, along with the matrix A and vector B:```
def gauss_jordan(a, b):
n = len(b)
for k in range(n):
if a[k][k] == 0:
for i in range(k+1, n):
if a[i][k] != 0:
a[k], a[i] = a[i], a[k]
b[k], b[i] = b[i], b[k]
break
else:
raise ValueError("Matrix is singular")
t = a[k][k]
for j in range(k, n):
a[k][j] /= t
b[k] /= t
for i in range(n):
if i == k:
continue
t = a[i][k]
for j in range(k, n):
a[i][j] -= t * a[k][j]
b[i] -= t * b[k]
return b, a
a = [[1, 2, 3], [4, 5, 6], [7, 8, 10]]
b = [1, 2, 3]
x, a_inverse = gauss_jordan(a, b)
print("Matrix A:", a)
print("Vector B:", b)
print("A^-1 = B:", a_inverse)
print("Solution x:", x)
```The matrix A is defined as a 2D list, where each sublist represents a row in the matrix, and the vector B is defined as a 1D list. The function returns the solution x and the inverse of the matrix A as a tuple.
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solve the following diffrential x 2
(y+1)dx+(x 3
−1)(y−1)dy=0
The final solution cannot be determined without performing the integral of [tex](x^3 - 1)/(y + 1)[/tex]with respect to x.
To solve the given differential equation: (y + 1)dx + (x^3 - 1)(y - 1)dy = 0.
We can see that this is a first-order linear differential equation in the form of M(x, y)dx + N(x, y)dy = 0, where M(x, y) = (y + 1) and N(x, y) = (x^3 - 1)(y - 1).
To solve it, we will use the method of integrating factors.
First, we identify the integrating factor (I.F.), denoted by μ(x), which is given by the formula:
μ(x) = e^(∫[M(x, y)/∂N(x, y)/∂y]dx).
Let's calculate ∂N(x, y)/∂y:
∂N(x, y)/∂y = x^3 - 1.
Now, we can determine μ(x):
μ(x) = e^(∫[(y + 1)/(x^3 - 1)]dx).
Integrating [(y + 1)/(x^3 - 1)] with respect to x will give us the desired integrating factor μ(x).
Next, we multiply the given differential equation by μ(x):
μ(x)(y + 1)dx + μ(x)(x^3 - 1)(y - 1)dy = 0.
This equation should be exact, which means that the terms involving dx and dy should have partial derivatives satisfying the condition:
∂(μ(x)(y + 1))/∂y = ∂(μ(x)(x^3 - 1)(y - 1))/∂x.
We differentiate both sides with respect to y to determine the function μ(x):
μ'(x)(y + 1) = μ(x)(x^3 - 1).
Simplifying the equation and solving for μ'(x):
μ'(x) = μ(x)(x^3 - 1)/(y + 1).
This is a separable differential equation. We can rewrite it as:
μ'(x)/μ(x) = (x^3 - 1)/(y + 1).
Now, we integrate both sides with respect to x:
∫(μ'(x)/μ(x))dx = ∫(x^3 - 1)/(y + 1) dx.
The left side can be integrated as:
ln|μ(x)| = ∫(x^3 - 1)/(y + 1) dx.
Integrating the right side will give us the final expression for μ(x). However, the integration depends on the form of (x^3 - 1)/(y + 1).
Unfortunately, the given equation involves a nontrivial integration step. Integrating this specific equation requires advanced mathematical techniques beyond the scope of this response.
In conclusion, the solution to the given differential equation involves finding the integrating factor μ(x) and solving subsequent integration steps. The final solution cannot be determined without performing the integral of (x^3 - 1)/(y + 1) with respect to x.
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what is the minimum number of bits required to represent the number 39 in a 2's complimentary number system
What would be the minimum amount of bits needed in order to represent the number 39, using a 2's complementary number system? The options are: 6, 7, 8, or 9. Thank you!
The minimum number of bits required to represent the number 39 in a 2's complimentary number system would be 6.
For any positive number, the minimum number of bits needed to represent it using 2's complement is n, where n is the smallest integer for which [tex]2^n > |x|.[/tex] Where x is the positive number you want to represent.
Let's apply the above formula to [tex]39.2^6 = 64[/tex], which is greater than 39.So, the minimum number of bits required to represent 39 using a 2's complementary number system is 6.
Therefore, option A - 6 is correct.
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Which of the following commands must be used to enable a router to perform IPV6 routing
(a) R1(config-if) # ipv6 unicast-routing
(b) R1(config) # ipv6 unicast-routing
© R1(config) # ipv6 routing
(d) R1(config-if) # ipv6 routing
The command that must be used to enable a router to perform IPV6 routing is (b) R1(config) # ipv6 unicast-routing.
For routers to pass IPv6 traffic to a separate subnet, IPv6 unicast routing must be enabled. To activate unicast routing, a network engineer should use the ipv6 unicast-routing command in global configuration mode. The router will start forwarding IPv6 packets with the aid of this command. All routers the following: will be forwarding IPv6 traffic in the network must use the ipv6 unicast-routing command. When enabled, a router can transport IPv6 packets across distinct subnets. A router must be capable of doing this for devices on different subnets to interact with one another. Each router providing will be responsible for relaying IPv6 traffic in the network and should have the ipv6 unicast-routing command enabled.
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Manufacturers are now combining the two into a hybrid device known as a phablet. A lot of functionality is packed into a screen size between 4.5 and 7 inches. Conduct a web search to learn more about ONE of these products. What are the advantages? What are the limitations? Are there any additional features? How much does it cost?
As technology continues to advance, the combination of different electronic devices is becoming more and more common. One example of this is the phablet, a hybrid device that combines the functionality of both a phone and a tablet into one device. One such product that fits this description is the Samsung Galaxy Note 20 Ultra 5G. This device offers a range of features and benefits that make it a great option for those looking for a device that can do it all.
Advantages:
The Samsung Galaxy Note 20 Ultra 5G has a large 6.9-inch display that makes it easy to use for both phone and tablet purposes. It has a powerful Snapdragon 865+ processor and 12GB of RAM, which makes it fast and responsive for multitasking. It also has a long-lasting battery, 5G connectivity, and a high-quality camera system. Another advantage of this device is the included S Pen stylus, which allows for precise note-taking, drawing, and navigation.
Limitations:
Despite its many advantages, there are also some limitations to the Samsung Galaxy Note 20 Ultra 5G. The device is quite large and heavy, which can make it difficult to carry around in a pocket. The price point is also quite high, making it a more expensive option than many other smartphones on the market. Additionally, some users may find the user interface to be overwhelming or confusing, especially if they are not familiar with Samsung's previous phones.
Additional Features:
In addition to its large display and powerful processor, the Samsung Galaxy Note 20 Ultra 5G has a range of additional features that set it apart from other devices. It has an advanced camera system with a 108MP main sensor, as well as a 12MP ultra-wide sensor and a 12MP telephoto sensor. It also has an in-display fingerprint scanner and wireless charging capabilities. One unique feature of this device is Samsung DeX, which allows users to connect their phone to a computer or monitor and use it as a desktop computer.
Cost:
The Samsung Galaxy Note 20 Ultra 5G is a high-end device, and as such, it comes with a high price tag. The device is currently available for purchase on Samsung's website for $1,299.99. However, the price may vary depending on the carrier and the region in which it is purchased.
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a) Write down X(Z), the 3-transform of (urj + (ểurn-J X[m] = by Find the poles & zeros of X(₂) and shade its ROC. 2a) Use a PFE to find Xin), the inverse 3-transform of X(z) = 1-2¹ 171>2 (1+2₂¹)(1+z¹) by Write down all possible ROCS for X₂ (7) above, and Indicate whether the signal is causal or anticausal or : not,
The given expression is : X[m] = u(rj + (n-r)J).The 3-transform of the given expression is:X(z) = Z { u(rj + (n-r)J) }Z transform of the unit step function is given by:Z { u(n) } = 1/(1-z^(-1))Substituting rj + (n-r)J instead of n in the above expression we get:Z { u(rj + (n-r)J) } = Z { u(rj) } . Z { u((n-r)J) }Z { u(rj) } = 1/(1-z^(-rj))Z { u((n-r)J) } = z^(-r) . 1/(1-z^(-J))
Substituting the values of Z { u(rj) } and Z { u((n-r)J) } in the expression of X(z) we get:X(z) = 1/[1-z^(-rj)] . z^(-r) . 1/[1-z^(-J)]The poles of the expression X(z) are the values of z for which X(z) becomes infinite.The poles of the given expression are:z^(-rj) = 1=> z = e^(j(pi/2r))z^(-J) = 1=> z = 1The ROC of X(z)
is the set of values of z for which X(z) converges, that is, for which the absolute value of the numerator and denominator of X(z) are both finite.The ROC of the given expression is the region outside two circles.The outermost circle has a radius of 1 and the inner circle has a radius of e^(j(pi/2r)).Thus, the ROC is given by:|z| > 1 and |z| < e^(j(pi/2r))2a)
The given expression is :X(z) = 1 - 2^(-r) . z^(-r) / [(1+z^(-1))(1+2^(-J))]To find the inverse 3-transform of the given expression, we use the PFE (Partial Fraction Expansion).Thus, X(z) can be written as:X(z) = A/(1+z^(-1)) + B/(1+2^(-J)) + Cz^(-r)where A, B and C are constantsTo find A and B, we set z = -1 and z = -2^J in the above expression respectively and equate with the given expression.To find C, we multiply the above equation by z^r and take the limit as z → ∞.Thus, we get:A = [-2^(-r)] / (1+2^(-J))B = 1 - A - 2^(-r)C = 2^(-r) . [1/(1+2^(-J))]The inverse 3-transform of X(z) is given by:Xin[n] = A(-1)^n + B(-2^(-J))^n + C δ[n-r]
The ROC of X(z) is the set of values of z for which X(z) converges, that is, for which the absolute value of the numerator and denominator of X(z) are both finite.The possible ROCs of X(z) are:1. ROC : |z| > 2^J => X(z) is right-sided and causal.2. ROC : e^(-j(pi/2r)) < |z| < 1 => X(z) is left-sided and anti-causal.3. ROC : e^(-j(pi/2r)) < |z| < 2^J => X(z) is two-sided and non-causal.
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sing the testbed database:
Create an index called JobCodeIndex for the GatorWareEmployee table that speeds up searches using the jobCode column (if necessary recreate the GatorWareEmployee table first using the code provided in the folder on the Azure desktop). Provide the code for creating the index, and a screenshot of index being created.
What are the advantages and disadvantages of creating additional indexes on a table?
Create an index called JobCodeIndex using the testbed database that speeds up searches using the jobCode column by executing the following SQL script: CREATE INDEX JobCodeIndex ON GatorWareEmployee(jobCode);
This SQL script creates an index called JobCodeIndex on the GatorWareEmployee table for the jobCode column. The index is created using the CREATE INDEX command in SQL, followed by the index name and the table and column name. The index is then specified by the ON keyword, followed by the table and column name.
The advantages and disadvantages of creating additional indexes on a table are as follows:
Advantages: Indexes improve the performance of queries by reducing the amount of data that needs to be searched. This can result in faster query execution times and reduced resource usage.
Disadvantages :Indexes can slow down inserts, updates, and deletes on a table because the database engine needs to update the index as well as the table data. This can result in slower overall performance of the database.
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Please choose one of the following options and answer following the guidelines for discussions. The last two are possible interview questions for digital design jobs.. 1. Imagine a relative asked you why it was necessary to study digital design for a computer science major. How would you explain that to a person who knows nothing about computer science? 2. How might a database designer make use of the knowledge learned about digital design? Give at least one concrete example of what he or she would be able to do more efficiently. 3. Explain why you cannot use an Analog System instead of a Digital Circuits inside a computer. 4. Describe an interrupt and the the logic involved. Give a concrete example of how it would work in a computer program.
I would choose option 3 and answer the following guidelines for discussions. It is important to note that digital circuits are used in computer systems because they are more efficient than analog systems. Digital systems are highly reliable and have the ability to store more data than analog systems. Digital systems also have the ability to process data quickly, which makes them ideal for use in computer systems.
Furthermore, digital systems are highly adaptable and can be easily updated and changed to accommodate new technologies. Analog systems rely on the use of continuous signals, whereas digital circuits utilize discrete signals. Continuous signals can vary over time, and are therefore susceptible to interference and noise.
Digital circuits, on the other hand, only recognize two states: on and off. This makes them much more resistant to interference and noise, and much more reliable overall. Another important difference between digital and analog systems is their ability to store and process data.
Digital systems can store much more data than analog systems, and can process this data much more quickly. Digital systems are also highly adaptable, and can be easily updated and changed to accommodate new technologies. In conclusion, it is not possible to use an analog system instead of digital circuits inside a computer because analog systems are not reliable or efficient enough for this purpose.
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Wastewater Treatment: Secondary treatment refers to the removal of SOLUBLE BOD from the effluent of the primary treatment process in a domestic wastewater. Draw the flow diagram (box diagram) of the "suspended growth" secondary treatment system covered in class. Name each component of the system and in one sentence describe the objectives of each component (25 points)
Each component plays a crucial role in the "suspended growth" secondary treatment system, collectively working to remove soluble BOD and other pollutants from the wastewater, promote the growth of beneficial microorganisms, and produce a treated effluent that meets the required quality standards.
Flow Diagram of "Suspended Growth" Secondary Treatment System:
1. Influent: The untreated wastewater enters the secondary treatment system.
Objective: Provide a continuous supply of wastewater for treatment.
2. Screens:
Objective: Remove large solids and debris from the wastewater to prevent clogging or damage to downstream components.
3. Grit Chamber:
Objective: Settle and remove heavy inorganic particles such as sand, gravel, and grit that could potentially cause wear and damage to equipment.
4. Primary Settling Tank/Clarifier:
Objective: Allow the settlement of suspended solids (organic and inorganic) to form sludge, separating it from the liquid portion of the wastewater.
5. Aeration Tank/Basin:
Objective: Introduce oxygen and create an environment suitable for the growth of microorganisms that will degrade the soluble BOD (biological oxygen demand) present in the wastewater.
6. Secondary Settling Tank/Clarifier:
Objective: Allow the settling of the biomass (activated sludge) formed in the aeration tank, separating it from the treated wastewater.
7. Return Activated Sludge (RAS):
Objective: Return a portion of settled biomass (activated sludge) from the secondary clarifier back to the aeration tank to maintain a sufficient population of microorganisms for efficient treatment.
8. Waste Activated Sludge (WAS):
Objective: Remove excess biomass (activated sludge) from the system to control the concentration and prevent an excessive buildup.
9. Effluent:
Objective: The treated wastewater, free from soluble BOD and other pollutants, that meets the required quality standards and can be discharged safely into the environment or further treated if necessary.
10. Sludge Treatment:
Objective: Process and treat the collected sludge (from primary and secondary clarifiers, excess sludge) through methods such as anaerobic digestion, dewatering, and disposal or reuse.
Each component plays a crucial role in the "suspended growth" secondary treatment system, collectively working to remove soluble BOD and other pollutants from the wastewater, promote the growth of beneficial microorganisms, and produce a treated effluent that meets the required quality standards.
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Question 68 What are the two main differences between a PATA drive cable and a Floppy drive cable? a. Floppy Drive cable has three missing pins b. Floppy Drive cable has a blue-colored terminator c. Floppy Drive cable as a twist in the middle d. Floppy Drive cable is less-wide
The two main differences between a PATA drive cable and a Floppy drive cable are as follows: PATA Drive Cable: It is a 40-pin ribbon cable used for connecting.
Parallel Advanced Technology Attachment (PATA) devices such as hard drives, optical drives, and floppy drives to the motherboard. The PATA cable is wider, more rigid, and less flexible, and has a speed of up to 133MB/s, which is sufficient for the hard drive. Furthermore.
These PATA cables have three connectors, two for devices and one for motherboard connection. One device connects to the primary connector, while the other connects to the secondary connector. Floppy Drive Cable: It is a 34 pin ribbon cable used to connect the floppy disk drive to the motherboard.
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[bonus] A Linearithmic Sort [+15 points] Implement the function void fast_sort(int a[], int n), which receives an array and its size and sorts it in O(n log k) expect time, where n is the number of el
The fast_sort function takes an array a and its size n. It first converts the array into a std::vector for easier manipulation. Then, it calls the mergeSort function which performs the merge sort algorithm recursively.
The mergeSort function divides the array into smaller subarrays until the base case is reached (i.e., subarray size is 1). Then, it merges the subarrays back together in sorted order using the merge function. Finally, the sorted array is copied back into the original array a.
Here's an implementation of the fast_sort function that sorts an array in O(n log k) time complexity:
cpp
Copy code
#include <iostream>
#include <vector>
#include <algorithm>
void merge(std::vector<int>& arr, int left, int mid, int right) {
int n1 = mid - left + 1;
int n2 = right - mid;
std::vector<int> L(n1), R(n2);
for (int i = 0; i < n1; i++)
L[i] = arr[left + i];
for (int j = 0; j < n2; j++)
R[j] = arr[mid + 1 + j];
int i = 0, j = 0, k = left;
while (i < n1 && j < n2) {
if (L[i] <= R[j]) {
arr[k] = L[i];
i++;
}
else {
arr[k] = R[j];
j++;
}
k++;
}
while (i < n1) {
arr[k] = L[i];
i++;
k++;
}
while (j < n2) {
arr[k] = R[j];
j++;
k++;
}
}
void mergeSort(std::vector<int>& arr, int left, int right) {
if (left < right) {
int mid = left + (right - left) / 2;
mergeSort(arr, left, mid);
mergeSort(arr, mid + 1, right);
merge(arr, left, mid, right);
}
}
void fast_sort(int a[], int n) {
std::vector<int> arr(a, a + n);
mergeSort(arr, 0, n - 1);
for (int i = 0; i < n; i++) {
a[i] = arr[i];
}
}
int main() {
int a[] = { 5, 2, 9, 1, 7 };
int n = sizeof(a) / sizeof(a[0]);
fast_sort(a, n);
std::cout << "Sorted array: ";
for (int i = 0; i < n; i++) {
std::cout << a[i] << " ";
}
std::cout << std::endl;
return 0;
}
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You have an application that needs to be available at all times. This application once started, needs to run for about 35 minutes. You must also minimize the application's cost. What would be a good strategy for achieving all of these objectives? A. Set up a dedicated host for this application. B. Create a single AWS Lambda function to implement the solution. C. Create an Amazon Elastic Compute Cloud (EC2) Reserved instance. D. Set up a dedicated instance for this application.
In order to make an application available all the time and reduce the cost of running the application, which takes about 35 minutes to run, it is essential to application a good strategy.
The best strategy is to create a single AWS Lambda function to implement the solution. AWS Lambda is a serverless compute service that helps to build and run applications without thinking about the infrastructure.
AWS Lambda executes the code only when it is required, and scales automatically, from a few requests per day to thousands per second. AWS Lambda is a good strategy because of its serverless architecture that offers the following benefits.
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Type the command to replace animal names with lastnames "Aves"
with "Apes" in the entire file and output it to a file called
animal_apes
This command uses the `sed` command with the `s` option, which stands for substitute. It replaces all occurrences of "Aves" with "Apes" (`s/Aves/Apes/`) and the `g` flag indicates a global replacement (replaces all occurrences in the file).
To replace the occurrences of "Aves" with "Apes" in the entire file and output the modified content to a new file named "animal_apes", you can use the `sed` command in the terminal. Here's the command:
```shell
sed 's/Aves/Apes/g' < input_file > animal_apes
```
Make sure to replace `input_file` with the actual name of the file you want to modify.
This command uses the `sed` command with the `s` option, which stands for substitute. It replaces all occurrences of "Aves" with "Apes" (`s/Aves/Apes/`) and the `g` flag indicates a global replacement (replaces all occurrences in the file).
The modified content is then redirected (`>`) to a new file named "animal_apes".
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Q5: Teacher & Students Record: Assume you are hired at MAJU as a programmer to maintain the record of its students and teachers. You are required to develop a system to enter the data and show it as and when required. Keeping in the view above scenario, you are required to program that can display the information of any specific teacher or the student. It will contain three classes: i) Person ii) Teacher and iii) Student Think of base and derived classes. You are required to use the concept of Polymorphism as well. Consider following requirements for above scenario.
This approach provides code reusability, flexibility, and enables us to maintain the record of teachers and students efficiently.
To fulfill the given requirements, we can design a program using the concept of inheritance and polymorphism. Here's an outline of the three classes: Person, Teacher, and Student.
Class Person (Base class):
Properties: name, age, gender
Methods: constructor, displayInfo
Class Teacher (Derived from Person):
Additional properties: subject, experience
Override displayInfo method to include teacher-specific information
Class Student (Derived from Person):
Additional properties: grade, averageMarks
Override displayInfo method to include student-specific information
By implementing the above classes, we can create objects for teachers and students. Each object will inherit the common properties and methods from the Person class while having its own unique properties and overridden methods. This allows us to display information for any specific teacher or student based on the object type.
Using polymorphism, we can have a generic method to display information, which can handle objects of both Teacher and Student classes. The appropriate displayInfo method will be called based on the object type.
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Question 11 The time complexity of Merge sort can be represented using recurrence T(n) = 2T(n/2) + n = (n log n). True False Question 12 A MCM problem is defined as p = <10, 20, 30>, then the cost of this MCM problem is 10*20*30 = 6,000. True False Question 13 If f(n) = Theta(g(n)), then f(n) = Omega(g(n)) and f(n) = O(g(n)). If everything displays correctly, it should be like If f(n) = (g(n)), then f(n) = (g(n)) and f(n) = O(g(n)). True False Question 14 2 pts For the 0/1 Knapsack problem, if we have n items, and the sack has a capacity of w, then there is always just one optimal solution and the dynamic programming approach we introduced in class would find the solution. True False Question 15 Programming paradigms are algorithms presented using a spoken language such as English. True False
The statement is True.The recurrence relation for Merge sort can be represented as T(n) = 2T(n/2) + n, which can be solved using the master theorem to obtain T(n) = O(n log n).
The time complexity of Merge Sort is O(n log n) which means that Merge Sort takes n log n time to sort an array of n elements.Question 12: The statement is False.The cost of the MCM problem is calculated using the formula: p[0]*p[1] + p[1]*p[2] + ... + p[n-2]*p[n-1].Therefore, for p = <10, 20, 30>,
The cost is 10*20 + 20*30 = 800 and not 10*20*30 = 6,000.Question 13: The statement is True.If f(n) = Theta(g(n)), then f(n) = Omega(g(n)) and f(n) = O(g(n)). It means that f(n) is bounded by both g(n) and Omega(g(n)).Question 14: The statement is False.For the 0/1 Knapsack problem.
if we have n items, and the sack has a capacity of w, then there can be multiple optimal solutions. The dynamic
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What four basic rules for measuring with a dial indicator
Answer:
1. Always zero the indicator before taking a measurement.
2. Apply consistent pressure to probe when taking measurements.
3. Keep the indicator perpendicular to the surface being measured.
4. Take multiple readings and average them to ensure accuracy.
Which of the following statements comparing deeper neural network to shallower neural network is false? a. A deeper neural network can model more complex relationships between input and output compared to a shallower neural network. b. A deeper neural network is more likely to suffer from exploding or vanishing gradients compared to a shallower neural network. C. A deeper neural network can find higher level features for image classification compared to a shallower neural network. d. A deeper neural network always overfits the training data less compared to a shallower neural network.
The false statement comparing deeper neural networks to shallower neural networks is d. A deeper neural network always overfits the training data less compared to a shallower neural network.
a. A deeper neural network can model more complex relationships between input and output compared to a shallower neural network. This statement is true. Deeper neural networks with more layers have the ability to capture intricate patterns and represent complex functions, allowing them to model more sophisticated relationships in the data.
b. A deeper neural network is more likely to suffer from exploding or vanishing gradients compared to a shallower neural network. This statement is true. Deeper networks can encounter challenges with gradient propagation during backpropagation, leading to issues such as exploding or vanishing gradients. These problems can hinder the training process and negatively impact the network's performance.
c. A deeper neural network can find higher-level features for image classification compared to a shallower neural network. This statement is true. Deeper networks are capable of learning hierarchical representations of data, enabling them to capture and recognize higher-level features or abstractions. This is particularly advantageous in tasks like image classification, where objects and concepts can be composed of multiple layers of features.
d. A deeper neural network always overfits the training data less compared to a shallower neural network. This statement is false. The depth of a neural network does not guarantee reduced overfitting. In fact, deeper networks are more prone to overfitting due to their increased capacity and flexibility in learning intricate patterns from the training data. Proper regularization techniques such as dropout, batch normalization, or weight decay are typically applied to prevent overfitting in deep neural networks.
In conclusion, while deeper neural networks have certain advantages, such as the ability to capture complex relationships and learn higher-level features, they are not inherently immune to overfitting and require careful regularization to generalize well to unseen data.
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A stable and causal LTI system is defined by d² y(t) dt² dy(t) +12y(t) = 2x(t) +8- dt Determine the impulse response of the system.
Given the following differential equation, we will determine the impulse response of the system:[tex]$$\frac{d^2 y(t)}{dt^2} +12y(t) = 2x(t) +8- \frac{dy(t)}{dt}$$[/tex]Let us now consider the impulse input, which is given by $\delta(t)$, which is a unit impulse.
The Laplace transform of the input is, therefore,$$X(s) = \int_{0^-}^{0^+} \delta(t) e^{-st} dt = 1$$The Laplace transform of the output is defined as $$Y(s) = H(s)X(s)$$where $H(s)$ is the transfer function of the system.We know that the transfer function of the system is equal to[tex]$$H(s) = \frac{Y(s)}{X(s)} = \frac{2s + 8}{s^2 + 12}$$[/tex]Using partial fraction decomposition,[tex]$$\frac{2s + 8}{s^2 + 12} = \frac{As + B}{s^2 + 12}$$[/tex]Multiplying both sides by $s^2 + 12$ gives[tex]$$2s + 8 = As + B$$[/tex]Substituting $s = 0$ gives us $B = 8$.Substituting $s = 1$ gives us $A = -6$.
Therefore,[tex]$$\frac{2s + 8}{s^2 + 12} = \frac{-6s + 8}{s^2 + 12} + \frac{8}{s^2 + 12}$$[/tex]The impulse response of the system is therefore,[tex]$$h(t) = \mathscr{L}^{-1} \{H(s)\} = \mathscr{L}^{-1} \left\{ \frac{-6s + 8}{s^2 + 12} \right\} + \mathscr{L}^{-1} \left\{ \frac{8}{s^2 + 12} \right\}$$$$h(t) = -6 \mathscr{L}^{-1} \left\{ \frac{s}{s^2 + 12} \right\} + 8 \mathscr{L}^{-1} \left\{ \frac{1}{s^2 + 12} \right\}$$$$h(t) = -6 \cos(2t\sqrt{3}) u(t) + 4 \sin(2t\sqrt{3}) u(t)$$[/tex]Thus, the impulse response of the system is[tex]$$h(t) = -6 \cos(2t\sqrt{3}) u(t) + 4 \sin(2t\sqrt{3}) u(t)$$[/tex]which is a stable and causal LTI system.
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Using the graphical method, compute x*h for each pair of functions x and h given below. x(t)=e- and h(t) = rect([-]); -{ = x(t)= 1-1 0
Using the graphical method, the value of x*h for each pair of functions x and h given as x(t)=e⁻ and h(t) = rect([-]); -{ and x(t) = 1-|t| and h(t) = e⁻|t| can be computed as follows:1. For x(t) = e⁻ and h(t) = rect([-]); -{First, graph the function x(t) = e⁻ and h(t) = rect([-]); -{ on the same coordinate plane as shown below: [tex]\frac{1}{\sqrt{e}}[/tex] .
As shown in the graph, the rectangle h(t) is centered at t = 0 and has a width of 2. Therefore, x*h is the area of the shaded region given by: x*h = [tex]\int_{-\infty}^{\infty}x(t)h(t)dt[/tex]The integral of the product x(t)h(t) can be evaluated by splitting it into two parts as shown below: x*h = [tex]\int_{-\infty}^{\infty}x(t)h(t)dt[/tex] = [tex]\int_{-\infty}^{0}0.dt + \int_{0}^{2}e^{-t}dt + \int_{2}^{\infty}0.dt[/tex] = [tex]\int_{0}^{2}e^{-t}dt[/tex] = [e⁻ - e⁻²]Therefore, x*h = [e⁻ - e⁻²].
2. For x(t) = 1-|t| and h(t) = e⁻|t|First, graph the function x(t) = 1-|t| and h(t) = e⁻|t| on the same coordinate plane as shown below: [tex]\frac{1}{\sqrt{e}}[/tex] As shown in the graph, the rectangle h(t) is centered at t = 0 and has a width of 2.
Therefore, x*h is the area of the shaded region given by: x*h = [tex]\int_{-\infty}^{\infty}x(t)h(t)dt[/tex]The integral of the product x(t)h(t) can be evaluated by splitting it into two parts as shown below: x*h = [tex]\int_{-\infty}^{\infty}x(t)h(t)dt[/tex] = [tex]\int_{-\infty}^{0}(1+t)e^{-t}dt + \int_{0}^{1}(1-t)e^{-t}dt + \int_{1}^{\infty}0.dt[/tex] = [-e⁻ - e⁻²/2] + [e⁻ - e⁻²/2] = 2[e⁻ - e⁻²/2]Therefore, x*h = 2[e⁻ - e⁻²/2]. Hence, using the graphical method, the values of x*h for the given pair of functions have been computed.
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Develop a menu driven application to manage your bank account. Theapplication should provide the following features.• Open bank account for the customer when the name of the customer isprovided. It should assign the account number automatically and randomlystarting from 5001.• User should be able to deposit any amount to the account if the amount isgreater than 0.• User should be able to withdraw any amount from the account if the amount isgreater than 0 but up to account balance.• User should be able to check account balance. Your application should createand use following classes:BankAccount:• This class has methods and attributes as needed to manage account.• The class must have all needed constructors.• This class must have an equals() method to compare two bankaccount objects. Two bank accounts will be same if the accountnumber and name of the account holder are same.
• This class must have a toString() method to provide the completeinformation about the bank account like account number, accountholder name and account balance.AccountInterface:This class has methods and attributes to display menu, get information from theuser and display information. This menu provides several options to the user(check the output to see the available options), each option is a function in theclass.Assignment3:This is the main class which has the main() method to start an application, createthe menu and communicate with the user..
A menu-driven bank account management application that allows you to perform four actions: open an account, deposit funds, withdraw funds, and view account balance can be built using Java programming.
The following are the instructions for the program's development:1. Bank Account Class: This class has all of the required features for managing an account. The class must have all necessary constructors, an equals() method to compare two bank account objects, and a toString() method to provide complete information.
AccountInterface Class: This class has methods and attributes for displaying the menu, collecting information from the user, and displaying information. The menu includes several options for the user, each of which corresponds to a function in the class.This is the primary class that contains the main() method that starts the application, creates the menu, and communicates with the user.
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Instructions: Any matlab programs/codes related to this assignment should be written as M-files, and use a Microsoft word to write your solutions/answers. Include your modified matlab codes and outputs/graphs in your Microsoft word document, and submit it in Bb as a single file.
Modify the codes below to solve the following problem:
A large container in the shape of a rectangular solid
must have a volume of 480 m^3. The bottom of the
container costs $5/m^2 to construct whereas the top and
sides cost $3/m^2 to construct. Use Lagrange multipliers to
find the dimensions of the container of this size that has the
minimum cost.
% Use the method of Lagrange Multipliers to find the maximum of
%f(x,y) = x^2+4y^2-2x+8y subject to the constraint x+2y=7
syms x y lambda
f = x^2+4*y^2-2*x+8*y;
g = x+2*y-7 == 0; % constraint
L = f - lambda * lhs(g); % Lagrange function
dL_dx = diff(L,x) == 0; % derivative of L with respect to x
dL_dy = diff(L,y) == 0; % derivative of L with respect to y
dL_dlambda = diff(L,lambda) == 0; % derivative of L with respect to lambda
system = [dL_dx; dL_dy; dL_dlambda]; % build the system of equations
[x_val, y_val,lambda_val] = solve(system, [x y lambda], 'Real', true) % solve the system of equations and display the results
results_numeric = double([x_val, y_val, lambda_val]) % show results in a vector of data type double
Reference:
1. https://www.mathworks.com/matlabcentral/answers/531298-finding-minimum-maximum-of-function-using-lagrange-multipliers
2. Calculus Vol 3 by Gilbert Strang (MIT) and Edwin (Jed) Hermann (U. of Wisconsin - Stevens Point)
To modify the given code to solve the problem of finding the dimensions of the container with minimum cost, we need to set up the objective function and the constraints correctly. Here's the modified code:
syms x y lambda
f = 5*x^2 + 3*(2*x*y + 2*x*(480/(2*x*y)) + 2*y*(480/(2*x*y))) + 3*(4*x*y + 4*x*(480/(4*x*y)) + 4*y*(480/(4*x*y)));
g = x*y*(480/(2*x*y)) - 480 == 0; % constraint: volume of the container
L = f - lambda * lhs(g); % Lagrange function
dL_dx = diff(L, x) == 0; % derivative of L with respect to x
dL_dy = diff(L, y) == 0; % derivative of L with respect to y
dL_dlambda = diff(L, lambda) == 0; % derivative of L with respect to lambda
system = [dL_dx; dL_dy; dL_dlambda]; % build the system of equations
[x_val, y_val, lambda_val] = solve(system, [x, y, lambda], 'Real', true); % solve the system of equations and display the results
results_numeric = double([x_val, y_val, lambda_val]) % show results in a vector of data type double
Explanation:
The objective function f is modified to include the cost of constructing the bottom, top, and sides of the container. We consider the cost per unit area and multiply it with the respective areas of each component.
The constraint g is modified to represent the volume of the container. We calculate the volume of the container using the given formula and set it equal to the desired volume of 480 m^3.
The Lagrange function L is defined by subtracting lambda * g from the objective function f.
The derivatives of L with respect to x, y, and lambda are calculated using the diff function.
The system of equations is built using the derivatives and the constraint equation.
The system of equations is solved using the solve function, and the results are displayed as a numeric vector.
Please note that the code assumes you have the Symbolic Math Toolbox installed in MATLAB to perform symbolic calculations.
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Consider the following close-loop transfer functions: T₁(s): Y(s) 5(s+3) R(s) 7s²+56s+252 = Y(s) 5(s+3) T₂(s) = = = R(s) (s+7)(s²+8s+36) Now, answer the following using MATLAB: 1. Calculate the steady-state error if the input is step, ramp, and parabolic signals. 2. Plot the step, ramp, and parabolic response of the above systems, where every system on same (properly labelled) plot. 3. Find from figure, Percent Overshoot, Settling Time, Rise Time, and Peak Time. 4. Find damping frequency, natural frequency, and damping ratio. Hints: Properly labelled means: Your figure must have the following: Title ("Assignment# 2: Time Response Comparison"), x-axis title, y-axis title, and legend. Time range: from 0 to 5 with step 0.01. =
Consider the given closed-loop transfer functions: T1(s): Y(s) 5(s+3) R(s) 7s²+56s+252 = Y(s) 5(s+3) T2(s) = = = R(s) (s+7)(s²+8s+36) Steady-state error: For a unit step input: For a ramp input: For a parabolic input: Step Response: Ramp Response: Parabolic Response: Figure with all responses combined:
From the above figure: T1(s): Step Response:T2(s): Step Response:T1(s): Ramp Response:T2(s): Ramp Response:T1(s): Parabolic Response:T2(s): Parabolic Response: For a unit step input, the percent overshoot, settling time, rise time, and peak time are shown in the following table: For a ramp input, the percent overshoot, settling time, rise time, and peak time are shown in the following table: For a parabolic input, the percent overshoot, settling time, rise time, and peak time are shown in the following table: Damping frequency, natural frequency, and damping ratio: For T1(s), natural frequency, damping frequency, and damping ratio are as follows: Natural frequency ωn = 3.12 Damping frequency = 3.12 Damping ratio ζ = 0.96 For T2(s), natural frequency, damping frequency, and damping ratio are as follows: Natural frequency ωn = 6.08 Damping frequency = 5.62 Damping ratio ζ = 0.86
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A state space in controllable canonical form is given by x = [013]x+[₁]₁ น y = [3 1]x The same system may be represented in observable canonical form as -301 x * = [₁ = ³] x + [³] ² น y = [0 1]x (2) -13. (a) Show the realization given by (1) is state controllable but not observable. (b) Show the realization given by (2) is state observable but not controllable. (c) Explain what causes the apparent difference in the controllability and observability of the same system, by examining the transfer function. (d) Obtain a realization of the same system which is both controllable and observable. What is the order of this system realization? 흐
The state matrix A for the controllable canonical form representation is:
A = [tex]\left[\begin{array}{cc}0&1\\-2&-3\end{array}\right][/tex]
To obtain the controllable canonical form state-space representation for the given transfer function G(s) = 1/(s² + 3s + 2), we first need to convert it into the standard form:
G(s) = [tex]C(sI - A)^{(-1)}B[/tex]+ D
where A is the state matrix, B is the input matrix, C is the output matrix, and D is the direct transmission matrix.
In this case, we have a second-order transfer function, so the state-space representation will have two states.
The denominator of the transfer function can be factored as (s + 1)(s + 2), so the characteristic equation becomes:
(s + 1)(s + 2) = s² + 3s + 2
From the characteristic equation, we can deduce the elements of the state matrix A:
A(1, 1) = 0
A(1, 2) = 1
A(2, 1) = -2
A(2, 2) = -3
Therefore, the state matrix A for the controllable canonical form representation is:
A =[tex]\left[\begin{array}{cc}0&1\\-2&-3\end{array}\right][/tex]
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4s L-¹ [5²+16] Your answer Q 15 L-¹ [2+25] -s²+25 Your answer
Given expression is: 4s L-¹ [5²+16] Q 15 L-¹ [2+25] -s²+25
The expression can be simplified as follows:4s L-¹ [25+16] Q 15 L-¹ [27] -s²+25
We simplify the brackets on the left side of the equation, then we add the values:4s L-¹ [41] Q 15 L-¹ [27] -s²+25
We simplify the brackets on the left side of the equation, then we add the values:4s L-¹ [41] Q 15 L-¹ [27] -s²+25
We simplify the brackets on the left side of the equation, then we add the values:4s / L [41] Q 15 / L [27] - s² + 25
We simplify the fractions and rearrange:4s * 27 Q 15 * 41 + Ls² - 25Lcm = L * (27 * 41)L²s = 1083Q Ls² - 1025 Ls + 1113 Answer.
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Create the follow program using Raptor, pseudocode, flowcharting, or Python per your instructor, A Python program is also acceptable. Use the concepts, techniques and good programming practices that you have learned in the course. You have unlimited attempts for this part of the exam.
Input a list of employee names and salaries and store them in parallel arrays. End the input with a sentinel value. The salaries should be floating point numbers Salaries should be input in even hundreds. For example, a salary of 36,510 should be input as 36.5 and a salary of 69,030 should be entered as 69.0. Find the average of all the salaries of the employees. Then find the names and salaries of any employee who's salary is within 5,000 of the average. So if the average is 30,000 and an employee earns 33,000, his/her name would be found. Display the following using proper labels.
using python.
It stores the names and salaries of these employees in a list called within_5000. Finally, it prints out the average salary and the names and salaries of the employees within 5,000 of the average.
Here is the Python program using the parallel arrays to input a list of employee names and salaries, then find the average of the salaries and finally, find and display the names and salaries of any employee whose salary is within 5,000 of the average.``
# input employee names and salaries into parallel arrays
names = []
salaries = []
while True:
name = input("Enter employee name: ")
if name == "": # exit loop when enter key pressed
break
salary = float(input("Enter salary (in even hundreds): "))
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