The area of a desk pad eight yards wide and 4/5 yards long is given as follows:
A = 0.3 yd².
What are the area and the perimeter of a rectangle?Considering a rectangle of length l and width w, we have that:
The area is given by A = lw.The perimeter is given by P = 2(l + w).The dimensions for this problem are given as follows:
w = 3/8 = 0.375 yd.l = 4/5 = 0.8.Hence the area is given as follows:
A = 0.375 x 0.8
A = 0.3 yd².
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XYZ corporation makes widgets. 1% of the widgets are defective. XYZ manufactures 100,000 widgets, the number of defective widgets is expected to be ....
XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced.
If 1% of the widgets produced by XYZ corporation are defective, then the expected number of defective widgets in a sample of 100,000 widgets can be calculated as follows:
Expected number of defective widgets = 1% x 100,000 = 0.01 x 100,000 = 1000
Therefore, XYZ corporation can expect to have 1000 defective widgets out of the 100,000 widgets produced. However, it is important to note that this is just an expected value, and the actual number of defective widgets may vary from this value due to random variation.
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How many ways are there to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined (that is, the other children get at least 5 toys)
There are 68,096 ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined.
The case where the first two children get zero toys. In this case, we need to distribute 8 toys among 4 children (since the first two children are not receiving any toys).
This can be done in [tex]4^8[/tex] ways (since there are 4 choices for each toy and 8 toys in total).
Next, let's consider the case where the first two children get exactly one toy each.
In this case, we need to distribute the remaining 6 toys among 4 children (since the first two children already have a toy each).
This can be done in (4 choose 2) * [tex]2^6[/tex] ways (since we need to choose which two children get a toy, and there are 2 choices for each of the remaining toys).
Finally, let's consider the case where the first two children get exactly two toys each.
In this case, we need to distribute the remaining 4 toys among 4 children (since the first two children already have 4 toys between them).
This can be done in (4 choose 2) * (2 choose 2) * [tex]4^4[/tex]ways (since we need to choose which two children get two toys each, and then distribute the remaining toys among the remaining two children).
Therefore, the total number of ways to distribute 8 different toys among six different children if at most 3 toys are given to the first two children combined is:
[tex]4^8[/tex] + (4 choose 2) * [tex]2^6[/tex] + (4 choose 2) * (2 choose 2) * [tex]4^4[/tex]
= 65,536 + 1,536 + 1,024
= 68,096
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Janice is considering buying a new home. She wants to estimate the monthly utilities (heating and air conditioning). She figures that the utilities are dependent on the size (square footage) of the home. She collects data on 10 homes in the neighborhood and finds a linear model to give the relationship between the size of the home and the monthly utilities. The equation of the line is ŷ = –8.1 + 1.91x, where ŷ is the mean monthly cost in utilities and x is the square footage of the home. The residual plot is shown.
Based on the residual plot, is the linear model appropriate?
No, there is no clear pattern in the residual plot.
Yes, there is no clear pattern in the residual plot.
No, there are no homes between 2,300 and 2,900 square feet.
Yes, half of the residuals are positive and half are negative.
Based on the residual plot, is the linear model appropriate is option (D). Yes, half of the residuals are positive and half are negative.
What is the linear model?The residual plot is one that can be a scatterplot of the residuals (the contrasts between the observed values as well as the predicted values) against the indicator variable. The reason of this plot is to check the presumption that the errors are randomly conveyed and have steady fluctuation over the run of the indicator variable.
In the event that the linear show is fitting for the information, the residuals ought to be randomly scattered around the flat line at zero. The reality that half of the residuals are positive and half are negative indicates that there's no systematic bias within the predictions.
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What is the area of the polygon? 28 cm 2 28 cm 2 40 cm 2 40 cm 2 52 cm 2 52 cm 2 64 cm 2
The shape of the polygon with side lengths of 28 cm, 28 cm, 40 cm, 52 cm, and 64 cm is an irregular pentagon.
To determine the shape of a polygon, we need to know the number of sides it has. In this case, the polygon has five sides, making it a pentagon. However, since the sides are not all equal in length, it is an irregular pentagon. It's important to note that irregular polygons do not have equal angles, unlike regular polygons. Therefore, this pentagon does not have equal angles. It is also important to note that the shape of the polygon can change depending on the angle and orientation of the sides.
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What is the shape of the polygon with side lengths of 28 cm, 28 cm, 40 cm, 52 cm, and 64 cm?
complete the chart with the correct conversions.
1/2 ton = ___ pounds
1/4 pound = ___ ounces
2 1/2 pounds = ___ ounces
Answer:
Step-by-step explanation:
1/2 ton is 1000 pounds
1/4 pound is 4 ounces
2 1/2 pounds is 40 ounces
Thomas and zack had some toy cars. they were then given an equal number of toy cars and zack now had twice the number of toy cars as what he had at first. 2/3 of zack's toy cars were now 1/2 of thomas's toy cars. if zack had 36 more cards than thomas now, how toy cars were given to them altogether? how many toy cars dis thomas have at first?
Answer: Let's denote the number of toy cars that Thomas had at first as T, and the number of toy cars that they were given each as x.
After they were given an equal number of toy cars, Zack had twice the number of toys cars as he had at first, which means that Zack had 2x toy cars.
Also, we know that 2/3 of Zack's toy cars were now 1/2 of Thomas's toy cars, so we can write:
2/3 * 2x = 1/2 * (T + x)
Multiplying both sides by 3/2:
2x = 3/4T + 3/4x
Simplifying:
5/4x = 3/4T
Since Zack has 36 more toy cars than Thomas now, we can write:
2x - x = T + x - 36
Simplifying:
x = T/3 + 12
We can now substitute x in the second equation:
5/4(T/3 + 12) = 3/4T
Multiplying both sides by 12:
5T/4 + 60 = 9T/4
Subtracting 5T/4 from both sides:
T/2 = 60
T = 120
So Thomas had 120 toy cars at first, and they were given a total of:
2 * x + T + 2x - (T + x) = 3x + 2T = 3(T/3 + 12) + 2T = 5T + 108 = 708
Toy cars altogether.
which type of fiber optic cabling would be most appropriate to use to connect two branch offices that are many miles apart
The most appropriate type of fiber optic cabling to use to connect two branch offices that are many miles apart would be single-mode fiber optic cabling (SMF).
Single-mode fiber optic cabling is designed for long-distance transmissions over several miles.
It uses a very small core that allows only one mode of light to propagate through it.
This reduces the likelihood of signal distortion or attenuation, allowing data to travel at high speeds over long distances without significant loss of signal quality.
Multi-mode fiber optic cabling (MMF), on the other hand, has a larger core diameter than SMF and is better suited for short distance transmissions over a few hundred meters.
It is not ideal for long-distance transmissions over several miles.
Single-mode fiber optic cabling would be the most appropriate choice for connecting two branch offices that are many miles apart.
Single-mode fibre optic cabling is made for communications across distances of up to several kilometres.
It utilises a tiny core that only permits one mode of light to pass through it.
This lessens the possibility of signal attenuation or distortion, enabling data to travel over great distances at fast rates without suffering a major loss in signal quality.
As opposed to SMF, multi-mode fibre optic cabling (MMF) has a bigger core diameter and is more appropriate for short-distance transmissions over a few hundred metres.
It is not the best option for transmissions over large distances of several miles.
For linking two branch offices that are far away, single-mode fibre optic cabling would be the best option.
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Suppose 4,700 was invested with an 5. 3 interest rate how much will be in account after 8 years
After 8 years, the amount in the account will be approximately $7,228.62.
To calculate the future value of an investment, we can use the formula for compound interest:
Future Value = Principal * (1 + Interest Rate)^Time
In this case, the principal (initial investment) is $4,700, the interest rate is 5.3% (or 0.053 as a decimal), and the time is 8 years. Plugging these values into the formula:
Future Value = 4700 * (1 + 0.053)^8
Calculating the future value:
Future Value = 4700 * (1.053)^8 ≈ $7,228.62
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GIVING BRANLIEST!
Data was collected on the amount of time that a random sample of 8 students spent studying for a test and the grades they earned on the test. A scatter plot and line of fit were created for the data.
scatter plot titled students' data, with the x-axis labeled study time in hours and the y-axis labeled grade percent. Points are plotted at 1 comma 65, 2 comma 60, 2 comma 70, 2 comma 80, 3 comma 70, 3 comma 90, 4 comma 85, and 4 comma 90, and a line of fit drawn passing through the points 0 comma 50 and 2 comma 70
Determine the equation of the line of fit.
y = 5x + 50
y = 5x + 70
y = 10x + 50
y = 10x + 70
The equation of the line of fit is y = 10x + 50. The correct option is C.
The equation of the line of fit can be determined by finding the slope and y-intercept of the line. We can use the two given points on the line, (0,50) and (2,70), to calculate the slope:
slope = (change in y) / (change in x) = (70 - 50) / (2 - 0) = 20 / 2 = 10
Now that we know the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y₁ = m(x - x₁)
Using the point (0,50) and the slope m = 10, we get:
y - 50 = 10(x - 0)
Simplifying, we get:
y = 10x + 50
Therefore, the equation of the line of fit is y = 10x + 50.
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From midnight to 8:00 am, the temperature dropped 1.8°C each hour. If the temperature at 8:00 am was -23.4°C, what was the temperature at midnight? Please help me
The temperature at midnight was -9°C.
How to find the temperature at midnightThe temperature dropped by 1.8°C each hour from midnight to 8:00 am, which means that the temperature dropped 1.8 x 8 = 14.4°C during this time.
If the temperature at 8:00 am was -23.4°C, then the temperature at midnight must have been -23.4°C + 14.4°C = -9°C.
Therefore, the temperature at midnight was -9°C.
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Need help finding n and m.
Note that the value of integers m and n are m = 5 and n = 3. Understand that there are other ways one can solve this.
How did we arrive at the above conclusion?We begin by trying different values of m and n that satisfy the given equation.
If we let m = 5 and n = 2, then:
m² - n² = 5² - 2² = 25 - 4 = 21
So m = 5 and n = 2 is one possible solution to the equation m² - n² = 21.
Recal that an equation is simply a math expression that is uxed to codify real world situations or sometimes, ficticious ones.
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Full Question:
Although part of your question is missing, you might be referring to this full question:
I need to find the value of m and n
m² - n² = 21
2. Can every expression be factored? Build and sketch each expression below as a rectangle if possible. Then write an equation showing that the area is equal to the product of its side length factors. Check by multiplying the factors to get the original expression. If the expression cannot be built as a rectangular area, explain why no rectangle exists and thus why the expression cannot be factored.
a. 2x² + 7x + 6
The factorization of 2x² + 7x + 6 is (2x + 3)(x + 2).
How to explain the factorizationFind two numbers that multiply to give you 2*6=12 and add up to 7. These numbers are 3 and 4.
Rewrite 7x as 3x + 4x, using the numbers found in step 1:
2x² + 3x + 4x + 6
Factor the first two terms and the last two terms separately:
x(2x + 3) + 2(2x + 3)
Notice that you now have a common factor of (2x + 3) in both terms. Factor it out:
(2x + 3)(x + 2)
The final factorization is (2x + 3)(x + 2).
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TRUE/FALSE. For a given sample size n, the chances of a Type I error can only be reduced at the expense of a higher chance of Type II error.
The statement is TRUE. When working with a given sample size, the chances of making a Type I error (rejecting a true null hypothesis) can only be reduced by increasing the significance level (alpha), which increases the probability of committing a Type II error (failing to reject a false null hypothesis). These two types of errors are inversely related, meaning that reducing one increases the likelihood of the other.
Is it possible to decrease the chances of Type I error ?In hypothesis testing, a Type I error occurs when a null hypothesis is rejected even though it is true. Type II error occurs when a null hypothesis is not rejected even though it is false.
The chances of Type I error and Type II error are inversely related, meaning that when the chances of Type I error decrease, the chances of Type II error increase, and vice versa.
This is because the significance level used in the hypothesis testing determines the trade-off between Type I and Type II errors. As the significance level becomes more stringent, the chances of Type I error decrease, but the chances of Type II error increase.
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Is 82 inches grater than 5feet and 10 inches
Answer:
False, 82 inches is not greater than 5 feet and 10 inches
Step-by-step explanation:
1 feet = 12 inches
5x12=60+10=70
82 is greater than 70.
The Yield of a variety of wheat was measured on a series of small plots and was found to be approximately normal. The 2nd and 98th percentile were found to be 29 bushels/acre and 41 bushels/acre respectively. The standard deviation (bushels/acre) is approximately What?
a) 12 b) 6 c) 4 d) 3 e) 2
The standard deviation (in bushels/acre) is approximately 2. The correct answer is option e.
We know that the 2nd and 98th percentile are 29 bushels/acre and 41 bushels/acre respectively, and we assume that the yield of wheat follows a normal distribution.
We can use the standard normal distribution to find the z-scores corresponding to the 2nd and 98th percentiles:
z2 = invNorm(0.02) ≈ -2.05
z98 = invNorm(0.98) ≈ 2.05
We can use the z-score formula to relate the percentiles to the mean and standard deviation of the normal distribution:
z = (x - μ) / σ
Rearranging, we get:
σ = (x - μ) / z
We can use this formula to find the standard deviation:
For the 2nd percentile:
σ = (29 - μ) / (-2.05)
For the 98th percentile:
σ = (41 - μ) / 2.05
Since we want the standard deviation in bushels/acre, we can assume that the units cancel out, leaving us with:
(41 - μ) / 2.05 = (μ - 29) / (-2.05)
Solving for μ, we get:
μ = 35
Substituting this value of μ back into either of the equations for σ, we get:
σ ≈ 2.449
Therefore, the standard deviation (in bushels/acre) is approximately 2. The correct answer is option e.
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Two friends want to find out the distance across a creek. Friends A holds one end of a rope and is standing (2x^2+2x-2) feet from the creek blank. Friend B holds the other end of the rope and is standing (x^2+17) feet from the creek bank. If the rope the friends are holding is (6x^2-x+12 feet long, how wide is the creek?
Two buddies want to know how far a creek is across. The creek is (3x² - 3x - 3) feet wide.
We know the distance of Friend A from one end of bank and distance of Friend B from another end of the bank and the distance between Friend A and B which is the distance of the rope and we have to calculate the width of the creek.
Distance of rope = Distance of friend A from the one end of the bank + width of creek + distance of Friend B from another end of the bank
6x²- x + 12 = (2x²+2x-2) + width of the creek + (x²+17)
6x²- x + 12 = width of the creek + (2x²+ 2x - 2 + x² + 17)
6x²- x + 12 = width of the creek + ( 3x² + 2x + 15)
width of the creek = 6x²- x + 12 - ( 3x² + 2x + 15)
= 6x²- x + 12 - 3x² - 2x - 15
= 3x² - 3x - 3
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Fill in the blank.
300 mm = M
The product of two consecutive integers is three less than three times their sum. Find the integers.
I got the answer "x^2-5x=0"
How can I find out the numbers??
The two consecutive integers from the equation are 5 and 6.
We have,
Two consecutive integers:
x and (x + 1)
To solve for the integers, you need to use the equation you found and solve for x:
x (x + 1) = 3 (x + x + 1) - 3
Simplifying:
x^2 + x = 6x + 3 - 3
x^2 - 5x = 0
Now you can factor out x:
x(x - 5) = 0
So,
x = 0 or x = 5.
Two consecutive integers,
x can't be 0. So the first integer is 5, and the next consecutive integer is 6.
Therefore,
The two consecutive integers are 5 and 6.
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A group of normal distributions can have equal arithmetic means but different standard deviations. True or False
The given statement "A group of normal distributions can have equal arithmetic means but different standard deviations" is True because the mean and standard deviation are two separate parameters that describe different characteristics of a normal distribution.
The mean is the measure of central tendency and represents the location of the peak of the distribution, while the standard deviation is a measure of the spread of the distribution.
Therefore, it is possible for multiple normal distributions to have the same mean, but different standard deviations. For example, consider two normal distributions with means of 50 and standard deviations of 10 and 20, respectively.
Both distributions have the same mean of 50, but different standard deviations, indicating that one distribution has a tighter cluster of data around the mean, while the other is more spread out.
Therefore, it is important to consider both the mean and standard deviation when analyzing and comparing normal distributions.
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If two sounds can form a minimal pair, they are allophones of two distinct phonemes. Group of answer choices True False
The given statement " If two sounds can form a minimal pair, they are allophones of two distinct phonemes." is true. because when two sounds can form a minimal pair, it demonstrates that the difference between the sounds is crucial for distinguishing the meaning of the words in the language as a result these sounds cannot be considered as allophones of the same phoneme, as they do not share the same underlying representation.
A minimal pair refers to two words that differ in only one sound but have different meanings. For example, "bat" and "pat" differ only in their initial consonants, /b/ and /p/, but have distinct meanings. This difference in meaning indicates that the two sounds are part of separate phonemes.
Phonemes are the basic, abstract units of sound in a language that can change the meaning of a word when substituted for one another. Allophones, on the other hand, are the various concrete realizations of a phoneme that do not change the meaning of a word. They are considered to be different surface forms of the same underlying phoneme.
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If f(x)=x^2-4 and g is a differentiable function of x, what is the derivative of f(g(x))?
A. 2g(x)
B. 2g'(x)
C. 2xg'(x)
D. 2g(x)g'(x)
E. 2g(x)-4
If f(x)=x²-4 and g is a differentiable function of x, what is the derivative of f(g(x)) is 2g(x)g'(x). The answer is (D) 2g(x)g'(x).
What is function?
In mathematics, a function is a relationship between two sets of elements, called the domain and the range, such that each element in the domain is associated with a unique element in the range.
We can use the chain rule to find the derivative of f(g(x)):
(f(g(x)))' = f'(g(x)) * g'(x)
First, we need to find f'(x), which is the derivative of f(x) with respect to x:
f'(x) = 2x
Next, we can substitute g(x) for x in f'(x) to get f'(g(x)):
f'(g(x)) = 2g(x)
Finally, we can plug in f'(g(x)) and g'(x) into the chain rule formula to get the derivative of f(g(x)):
(f(g(x)))' = f'(g(x)) * g'(x) = 2g(x) * g'(x)
Therefore, the answer is (D) 2g(x)g'(x).
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Can someone help me (again)
Kevin is working two summer jobs, making $8 per hour babysitting and making $6
per hour walking dogs. In a given week, he can work no more than 13 total hours and
must earn no less than $90. If Kevin worked 3 hours walking dogs, determine the
minimum number of whole hours babysitting that he must work to meet his
requirements. If there are no possible solutions, submit an empty answer.
Kevin must work at least 9 hours babysitting to meet his requirements.
Let's call the number of hours Kevin works babysitting "x". We know that he works 3 hours walking dogs, so the total number of hours he works in a week is x + 3.
We also know that he must earn at least $90, so we can set up the following inequality:
8x + 6(3) ≥ 90
Simplifying this inequality, we get:
8x + 18 ≥ 90
Subtracting 18 from both sides, we get:
8x ≥ 72
Dividing both sides by 8, we get:
x ≥ 9
Therefore, Kevin must work at least 9 hours babysitting to meet his requirements.
To check that this is a valid solution, we can calculate his total earnings for the week:
Total earnings = 8x + 6(3) = 8x + 18
If he works 9 hours babysitting and 3 hours walking dogs, his total earnings will be:
Total earnings = 8(9) + 6(3) = 72 + 18 = $90
In summary, the minimum number of whole hours Kevin must work babysitting to meet his requirements is 9. This is found by solving an inequality based on his earnings and the number of hours he can work in a week, and then checking that the solution meets his requirements.
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Let the universal set={x€z} Is 15is great than or equal to x is greater than 25. (AUB)raise to power c ={x€z} is a prime number. I. N(C-AUB)=0 where A,B and C are proper subset of 21. Find i. AUBUC
ii. N(AcUBcUCc)
The members of each set are A = {2, 3, 5, 7, 11, 13, 17} and B = {}
A n B = {}
A u B = {2, 3, 5, 7, 11, 13, 17}
The members of each set
From the question, we have the following parameters that can be used in our computation:
U = (1,2,3,4,.... 18)
A = {Prime numbers)
B = (Odd numbers greater than 31)
This means that the universal set is from 1 to 18
So, we have
A = {2, 3, 5, 7, 11, 13, 17}
B = {}
The sets of the following
A n B: This is the elements common in both sets
So, we have A n B = {}
A u B: This is the list of all elements without repetition
So, we have A u B = {2, 3, 5, 7, 11, 13, 17}
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complete question:
U
=(1,2,3,4,.... 18); A= {Prime numbers) and B= (Odd numbers greater than 31. a) If A and B are subsets of the universal set, &, list the members of A and B Find the set b) c) i) AnB ii) AUB i) Illustrate U, A and B on a Venn diagram. ii) Shade the region for prime factors of 18 on the Venn diagram.
Question 4 The table shows the number of points scored by a football team. Points Scored by a Football Team 20 3 9 21 24 68 14 18 7 35 12 Blank 1: 31 Calculate the mean and median with and without the outlier. Round to the nearest tenth, if necessary. The mean with the outlier is The median with the outlier is The mean without the outlier is The median without the outlier is (Example 2)
The mean with the outlier is 20.2.
The median with the outlier is 18.
The mean without the outlier is 17.6.
The median without the outlier is also 18.
How to Solve the Problem?To find the middle, we must first sort the dossier from shortest to capital:
3, 7, 9, 12, 14, 18, 20, 21, 24, 31, 35, 68
When a set of 12 numbers is orderly, the middle is the middle profit. If skilled are an even number of variables, the middle is the average of two together middle principles.
(accompanying deviation) Median = 18
To decide the mean outside the deviation, first away it and therefore recalculate the mean utilizing the staying principles:
20 + 3 + 9 + 21 + 24 + 14 + 18 + 7 + 35 + 12 + 31 = 194
There are now 11 principles, that wealth:
The mean (no outliers) is 194/11 = 17.6.
To reckon the middle outside the oddity, we must organize the staying principles in the following order:
3, 7, 9, 12, 14, 18, 20, 21, 24, 31, 35
When a set of 11 numbers is orderly, the middle is the middle worth. If skilled are an even number of variables, the middle is the average of two together middle principles.
Median (no outliers) = 18
As a result, the mean accompanying the aberration is 20.2 and the middle is 18. The mean, forbidding the oddity, is 17.6, and the middle, forbidding the deviation, is still 18.
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The fraction of regions in a country with maximum interstate highway speed limits up to and including 70 mph was 39/50 The fraction of regions with 70 mph speed limits was 17/50. What fraction of regions had speed limits that were less than 70 mph
The fraction of regions with speed limits less than 70 mph is 11/25.
To find the fraction of regions with speed limits less than 70 mph, we can subtract the fraction of regions with 70 mph speed limits from the fraction of regions with maximum speed limits up to and including 70 mph.
Fraction of regions with speed limits less than 70 mph = Fraction of regions with maximum speed limits up to and including 70 mph - Fraction of regions with 70 mph speed limits
= 39/50 - 17/50
To subtract fractions, we need a common denominator, which in this case is 50:
= (39 - 17)/50
= 22/50
This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2:
= (22/2) / (50/2)
= 11/25
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MVC in Java typically stands for
a. Model Virtual Controller
b. Motor Vehicle Collision
c. Mainframe View Controller
d. Model Virtual Computer
e. Model View Controller
The correct answer is (e) Model View Controller.
MVC is a design pattern commonly used in software engineering, particularly in web development frameworks such as Java Spring and Struts. In the context of Java, MVC stands for Model View Controller, which is a design pattern that separates an application into three interconnected components:
- The Model represents the data and the business logic of the application.
- The View represents the user interface, and is responsible for rendering the data to the user.
- The Controller acts as an intermediary between the Model and the View, and handles user input and updates to the Model.
The Model and View components are decoupled and can be developed independently, while the Controller component handles the communication between them. This separation of concerns makes it easier to maintain and modify the application, and also allows for code reuse.
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Complete the table below.
The table is completed as follows:
When x = 1, y = 2x² = 2 and y = 2^x = 2.When x = 2, y = 2x² = 8 and y = 2^x = 4.How to calculate the numeric value of a function or of an expression?To calculate the numeric value of a function or of an expression, we substitute each instance of any variable or unknown on the function by the value at which we want to find the numeric value of the function or of the expression presented in the context of a problem.
For the function y = 2x², the numeric values are given as follows:
x = 1: y = 2 x 1² = 2.x = 2: y = 2 x 2² = 8.For the function y = 2^x, the numeric values are given as follows:
x = 1: y = 2^1 = 2x = 2: y = 2² = 4.Learn more about the numeric values of a function at brainly.com/question/28367050
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A cube has a volume of (0.75xy)3 cubic centimeters.
What is the volume of the cube expressed as a fraction?
The volume of the cube expressed as a fraction will be 27x³y³ / 64.
Given that:
Volume, V = (0.75xy)³
It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.
The volume of the cube expressed as a fraction is calculated as,
V = (0.75xy)³
V = (3xy/4)³
V = 27x³y³ / 64
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Also how do you even solve these crazy things?
The value of radicals are
1. 4√6 / √16= √6
2. 4√15 / √20= 2√3
3. √4/√5 = 2/√5
1. 4√6 / √16
We know that the value of √16 = 4
So, 4√6 / √16
= 4√6 / 4
= √6
2. 4√15 / √20
We can write √20 = 2√5
So, 4√15 / √20
= 4√15 / 2√5
= 2 √5 x √3/ √5
= 2√3
3. √4/√5
= 2/√5
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