if x initially contains the value 3, which of the following sets x to 7?

Answers

Answer 1

To set x to 7 when it initially contains the value 3, you would need to add 4 to x. Therefore, the option that would set x to 7 is x = x + 4.

This statement adds 4 to the current value of x (which is 3), resulting in x being equal to 7. It is important to note that there may be other ways to set x to 7 depending on the specific context and code. However, in the absence of further information, adding 4 to x is the most direct and simple solution.


Let's consider that x initially contains the value 3. We want to find an operation that sets x to 7. Since we're looking for a change of +4 (7 - 3), we can perform the following operation: x = x + 4. By adding 4 to the initial value of x, we get x = 3 + 4, which results in x = 7. Thus, the operation that sets x to 7 when it initially contains the value 3 is x = x + 4.

Learn more about value at: brainly.com/question/30145972

#SPJ11


Related Questions

his cold-water supply system serves a bathroom in a multistory building. The architect
directed the piping to be installed in the wall cavities with the main branch above ceiling
level. The supply pipe construction is 4 type-L copper. The building supply is capable of
maintaining a flow rate of 10 gallons per minute. The walls contain a 6-inch cavity, and the
ceilings contain a 12-inch cavity. Consider the installation to be centered in the available
cavity space.
If the cold-water supply pressure to the floor represented in the drawing measures 50 psi
and the flush-valve manufacturer specifies a minimum working pressure of 25 psi, how many
stories can be constructed before friction losses prevent proper valve operation?
A. None including this floor
B. This floor and one more story
C. This floor and two more stories
D. This floor only

Answers

Answer: D

Step-by-step explanation:

To determine the maximum number of stories that can be constructed before friction losses prevent proper valve operation, we need to calculate the pressure loss due to friction as the water flows through the piping to each floor.

Using the Hazen-Williams formula, which is commonly used for sizing water supply systems:

P = (4.52Q1.85L10.67/C1.85)d4.87

where:

P = pressure loss due to friction (psi)

Q = flow rate (gpm)

L = length of pipe (feet)

C = Hazen-Williams coefficient (dimensionless)

d = inside diameter of pipe (inches)

Assuming the flow rate is 10 gpm, the length of pipe from floor to floor is the height of the building divided by the number of stories, and the inside diameter of the pipe is 4 inches (since 4 type-L copper corresponds to a 4-inch nominal diameter), the pressure loss for each story can be calculated using a Hazen-Williams coefficient of 130 for copper piping:

P = (4.52 x 10^1.85 x (1 story height/number of stories)10.67/1301.85)4.87

P = 3.3 x (1/number of stories)^1.85

For example, for a 2-story building, the pressure loss would be:

P = 3.3 x (1/2)^1.85

P = 1.6 psi

To ensure that the minimum working pressure of 25 psi is maintained at each flush valve, the pressure loss for each story cannot exceed 25 - 50 = -25 psi (since lower pressures can cause valve malfunctions).

Solving for the maximum number of stories:

3.3 x (1/number of stories)^1.85 <= -25

(1/number of stories)^1.85 <= -25/3.3

1/number of stories <= (-25/3.3)^0.54

number of stories >= 1/(-25/3.3)^0.54

number of stories >= 6.7

Therefore, the maximum number of stories that can be constructed before friction losses prevent proper valve operation is D. This floor only.

Differentiate The Function. H(X)=43(X5−3x3+7)8 H′(X)=

Answers

The differentiation of H(X)=43(X5−3x3+7)⁸ is H′(x) = 344(x^5 - 3x^3 + 7)^7(5x^4 - 9x^2)

To find the derivative of the function H(x) = 43(x^5 - 3x^3 + 7)^8, we need to use the chain rule of differentiation. The chain rule states that if we have a function f(g(x)), then its derivative is given by f'(g(x)) * g'(x). In this case, our function g(x) is (x^5 - 3x^3 + 7), and our function f(x) is (43x^8). So, using the chain rule, we get:

H′(x) = f'(g(x)) * g'(x)

H′(x) = 43(8)(x^5 - 3x^3 + 7)^7 * (5x^4 - 9x^2)

Simplifying the expression, we get:

H′(x) = 344(x^5 - 3x^3 + 7)^7(5x^4 - 9x^2)

Therefore, the derivative of the function H(x) = 43(x^5 - 3x^3 + 7)^8 is H′(x) = 344(x^5 - 3x^3 + 7)^7(5x^4 - 9x^2).

Learn more about differentiation:

https://brainly.com/question/24898810

#SPJ11

water park has pools, slides, and rides that, in total, make use of 7.2 × 10^6 gallons of water. They plan to add a ride that would make use of an additional 1, 900 gallons of water. Use scientific notation to express the total gallons of water made use of in the park after the new ride is installed.​

Answers

The total gallons of water made use of in the park after the new ride is installed is  7.201900 * 10⁶

What is an equation?

An equation is an expression that shows the relationship between numbers and variables using mathematical operators.

Scientific notation is a way of expressing numbers in the form a * 10ᵇ where a is a number or decimal number and b is the power of 10.

The water park has 7.2 × 10⁶ gallons of water. If an additional 1, 900 gallons of water is added:

Total amount of water = 7.2 * 10⁶ + 1900 = 7201900 gallons = 7.201900 * 10⁶

The total gallons of water made use of in the park after the new ride is installed is  7.201900 * 10⁶

Find out more on equation at: https://brainly.com/question/17145398

#SPJ1

Jada bought a used car for $6000. The value of the car is expected to depreciate at a uniform rate of 30% per year. What will be the approximate value of the car in 3 years? Use the formula =^-kt

Answers

The approximate value of the car in 3 years is $1648.37.

We have,

To calculate the approximate value of the car in 3 years, we can use the formula for exponential decay:

V = Vo e^(-kt)

where V is the value of the car after t years, Vo is the initial value of the car, k is the decay rate (in this case, 0.3), and e is the mathematical constant e (approximately equal to 2.718).

Substituting the given values.

V = 6000 x e^(-0.33)

V = 6000 x e^(-0.9)

V ≈ $1648.37

Therefore,

The approximate value of the car in 3 years is $1648.37.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ1

Find the critical value tc for the confidence level c=0.99 and sample size n=21.

Answers

The critical value tc for the confidence level c=0.99 and sample size n=21 is 2.845.

To find the critical value tc for the confidence level c = 0.99 and sample size n = 21, we can use the t-distribution table or a statistical software package.

t-distribution critical value formula is: tc = t(α/2, n-1)

For a confidence level of 0.99, the significance level α is:

α = 1 - c = 1 - 0.99 = 0.01

Using a t-distribution table with 20 degrees of freedom (n-1), we can find the t-value with a cumulative probability of 0.005 in the upper tail, since we are interested in the critical value at the two-sided 99% confidence level.

The t-value with a cumulative probability of 0.005 and 20 degrees of freedom is 2.845.

Therefore, the critical value tc for the confidence level c = 0.99 and sample size n = 21 is:

tc = t(α/2, n-1) = t(0.005, 20) = 2.845

learn more about critical value here:

https://brainly.com/question/31529419

#SPJ1

two six-sided dice are rolled. what is the size of the sample space that corresponds to the event that both dice are odd?

Answers

When rolling a single six-sided die, there are three odd numbers: 1, 3, and 5, and three even numbers: 2, 4, and 6. Since we are rolling two dice, each with six possible outcomes, there are a total of $6 \times 6 = 36$ possible outcomes.

To find the sample space corresponding to the event that both dice are odd, we need to determine all possible outcomes in which both dice land on odd numbers. There are three odd numbers on each die, so there are three possibilities for the first die and three possibilities for the second die, for a total of $3 \times 3 = 9$ outcomes where both dice are odd.

Therefore, the size of the sample space that corresponds to the event that both dice are odd is 9.

To learn more about sample : brainly.com/question/12823688

#SPJ11

one way to increase the probability of identifying the optimal decision when using a simulation is to:

Answers

One way to increase the probability of identifying the optimal decision when using a simulation is to increase the number of iterations or trials in the simulation.

Simulation is a powerful tool for modeling and analyzing complex systems or processes where there are many variables and uncertainties involved. However, the accuracy and reliability of the simulation results depend on the number of iterations or trials used in the simulation. The more trials or iterations are performed, the more accurate the simulation results are likely to be, and the higher the probability of identifying the optimal decision.

Therefore, to increase the probability of identifying the optimal decision in a simulation, one should increase the number of trials or iterations in the simulation. This means running the simulation multiple times with different input values or scenarios and recording the results for each run. By analyzing the results of multiple simulation runs, one can identify patterns, trends, and optimal decisions that are robust and reliable across different scenarios and conditions.

To learn more about simulation : brainly.com/question/16670333

#SPJ11

Which measure of central tendency is not resistant to extreme values in a numeric data set? A. Parameters B. Mean C. Median D. Mode

Answers

B. Mean is not resistant to extreme values in a numeric data set. The mean is affected by outliers or extreme values in a dataset because it takes into account all the values in the dataset, including the extreme values.

Central tendency is a measure that is used to find the central or typical value of a set of data. The most common measures of central tendency are mean, median, and mode. These measures provide different ways of summarizing the data, depending on the nature of the dataset and the research question.

The mean is calculated by adding up all the values in a dataset and dividing by the number of values. The mean is often considered to be the most common measure of central tendency because it takes into account all the values in the dataset. However, the mean is not resistant to extreme values or outliers. An outlier is an observation that is significantly different from other observations in the dataset.

When a dataset contains extreme values or outliers, the mean is often affected, resulting in a value that does not represent the central tendency of the dataset. This is because the mean is influenced by every value in the dataset, including the outliers, and is not a robust measure of central tendency. In contrast, the median and mode are resistant to extreme values and provide better estimates of central tendency when a dataset contains outliers.

To learn more about central tendency refer below

https://brainly.com/question/2018505

#SPJ11

This is the second part pls answer. in case you can't see anything notify me​

Answers

Answer:

K = 2cm

Step-by-step explanation:

The figure are similar by AA similarity theorem

A-A similarity theorem was deals with at least the two angles are congrunt then we said that figure is similar.

So in the given figure SRT ~ QPT and if the two triangles are dimilar their coresponding side ratio are equal and their angles are congrunt .

Now our question is to find the scale factor . let it be K

K = QP/SR = PT/RT = QT/ST

K = 4cm/2cm = 6cm/3cm= 6cm /3cm

K = 2cm = 2cm = 2cm ... so the scale factor is 2cm.

the cases are given in time order. prepare a time plot for the number of transfers. is any systematic pattern evident in your plot? discuss.

Answers

Yes, a systematic pattern is evident in the time plot for the number of transfers.

A time plot is a graphical representation of data over time. In this case, we have data on the number of transfers given in time order. By plotting the data on a graph with time on the x-axis and the number of transfers on the y-axis, we can visually analyze the pattern of transfers over time.

From the time plot, we can see that the number of transfers is increasing steadily over time, with a few small dips and spikes. This suggests that there is a systematic pattern of growth in the number of transfers.

the time plot for the number of transfers shows a systematic pattern of growth over time. This could be indicative of various factors, such as increased demand for transfer services, population growth, or changes in transportation infrastructure. Further analysis would be required to identify the specific factors driving this pattern.

To learn more about systematic visit:

https://brainly.com/question/31892795

#SPJ11

Use the expression 3x^2 + 4y - 5x + y + 11 to match the vocabulary terms with their "parts" of the given expression. constant, greatest common factor, number of terms in the polynomial, coefficient of the leading term, exponent of the leading term. DRAG & DROP THE ANSWER 4 11 1 3 2 6 5

Answers

Answer:

Constant: 11Greatest common factor: 1Number of terms in the polynomial: 5Coefficient of the leading term: 3Exponent of the leading term: 2

Step-by-step explanation:

In order to solve this, we need to know the definitions of the vocabulary terms and how to identify them in a polynomial expression. Here are the definitions:

A constant is a term that has no variable. For example, 11 is a constant. It's also a prime number, but don't let that get to its head.A greatest common factor (GCF) is the largest number or expression that divides evenly into all the terms of a polynomial. For example, the GCF of 3x² + 4y - 5x + y + 11 is 1, because 1 is the only number that divides evenly into all the terms. It's also the loneliest number, but don't let that make you sad.The number of terms in a polynomial is the number of separate parts that are added or subtracted. For example, 3x² + 4y - 5x + y + 11 has five terms: 3x², 4y, -5x, y, and 11. It's also the number of fingers on one hand, but don't let that limit your counting.The coefficient of the leading term is the numerical factor of the term with the highest degree (the highest exponent of the variable). For example, in 3x² + 4y - 5x + y + 11, the leading term is 3x² and its coefficient is 3. It's also the number of sides on a triangle, but don't let that make you obtuse.

The exponent of the leading term is the power of the variable in the term with the highest degree. For example, in 3x² + 4y - 5x + y + 11, the leading term is 3x² and its exponent is 2.

To match the vocabulary terms with their “parts” of the given expression, you need to drag and drop the correct numbers from the options. Here are the matches:

Constant: 11Greatest common factor: 1Number of terms in the polynomial: 5Coefficient of the leading term: 3Exponent of the leading term: 2

All of the students in the sixth-grade class went on a field trip to an amusement park. *40% bought a pass to ride an unlimited number of rides. *75 students paid for each ride individually. How many students are in the sixth grade?

Answers

There are 187 students in the sixth grade.

We can start by using the information that 40% of the students bought a pass to ride an unlimited number of rides. This means that 60% of the students did not buy a pass and paid for each ride individually.

Let's assume that the total number of students in the sixth grade is "x". Then, 40% of the students bought a pass, which is 0.4x. The remaining 60% paid for each ride individually, which is 0.6x.

We also know that 75 students paid for each ride individually. Therefore, we can set up an equation:

0.6x = 75

Solving for x, we get:

x = 75 / 0.6

x = 125 / 0.4

x = 187.5

Since we can't have half a student, we round up to the nearest whole number. Therefore, there are 187 students in the sixth grade.

Learn more about grade here

https://brainly.com/question/165537

#SPJ11

need this for geometry

Answers

The value of the missing leg using Pythagoras theorem is 12.5.

What is Pythagoras theorem?

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“

To calculate the missing leg, we use Pythagoras theorem.

a² = b²+c²..................... Equation 1

Where:

a = 16b = 10 c = Missing leg

Substitute these values into equation 1 and solve for c

16² = 10²+c²c² = 16²-10²c² = 256-100c² = 156c = √156c = 12.5

Learn  more about Pythagoras theorem here: https://brainly.com/question/28981380

#SPJ1

Brenda is solving the system of equations A, shown in the table, by using the elimination method. She produced system of equations B as her first step in the solution method. Which of the following statements justifies the two systems being equivalent?

Answers

Option D is correct as it justifies the two systems being equivalent

How to get the correct option

Multiply by 2 the first equation A

2 (X + 2Y ) = 6

This would give us the first part of the equation B

= 2x + 4y = 12

Then the second equation

Multiply by 5 to get B

5(2/5x - y ) = 3

= 2x - 5y = 15

Hence the last option is the correct answer

Therefore we would say that Option D is correct as it justifies the two systems being equivalent

Read more on elimination method here:https://brainly.com/question/25427192

#SPJ1

The radius of a circular swimming pool is 25. 48 ft in length. What is the diameter of the swimming pool?

Answers

To find the diameter of a circular swimming pool with a given radius, we need to use the formula: diameter = 2 x radius. In this case, the radius is given as 25.48 ft. Therefore, the diameter of the pool can be calculated as follows: diameter = 2 x 25.48 = 50.96 ft.

It's important to note that the length of the pool is not directly relevant to finding its diameter. The length usually refers to the distance between the two ends of the pool, while the diameter is the distance across the widest part of the pool. However, the length can be useful in determining the surface area and volume of the pool, which are important for maintenance and chemical treatment.

In summary, the diameter of the circular swimming pool with a radius of 25.48 ft is approximately 50.96 ft.

To find the diameter of a circular swimming pool, you need to use the given radius. The radius is the distance from the center of the circle to its edge. In this case, the radius of the swimming pool is 25 feet.

The diameter is simply twice the radius, as it is the distance across the entire circle, passing through the center.

To find the diameter, you can use the following formula:

Diameter = 2 * Radius

Substitute the given radius (25 feet) into the formula:

Diameter = 2 * 25 ft

Diameter = 50 ft

So, the diameter of the circular swimming pool is 50 feet.

To learn more about radius: brainly.com/question/13449316

#SPJ11

in a study, the sample is chosen by putting people's names on a dartboard, and blindly throwing darts what is the sampling method? simple random systematic stratified cluster convenience

Answers

The sampling method used in this study is a simple random sample. This is because each person's name has an equal chance of being selected when the darts are blindly thrown at the dartboard.

The sample is also random because there is no predetermined criteria or grouping used in selecting individuals.

The other sampling methods such as systematic, stratified, and cluster involve pre-determined groups or criteria that the individuals must meet, which is not the case with the dartboard method.

Additionally, convenience sampling involves selecting individuals based on their availability or accessibility, which is not applicable in this scenario as the individuals are selected randomly without any biases or preferences.

Overall, the study is using a simple random sampling method to select individuals for the sample.

To learn more about : sampling

https://brainly.com/question/27829028

#SPJ11

HELP!!

GIVING BRAINLIEST!!

Answers

It’s c I hope it’s the right answer

which of the following give chart elements a realistic, three-dimensional look?A. axisB. chart areaC. legendD. plot area

Answers

The option that gives chart elements a realistic, three-dimensional look is D. Plot Area.

The option that gives chart elements a realistic, three-dimensional look is the plot area. The plot area is the portion of the chart that displays the data points and is typically the main focus of the chart. Adding shading and depth to the plot area, can give the chart a more lifelike appearance and make the data more visually engaging. Additionally, three-dimensional charts can also be created by using specialized charting software that allows for the creation of 3D visualizations. These types of charts can be useful for highlighting patterns and trends in the data, especially when dealing with large datasets.
In a chart, the plot area is the space where the actual data points, bars, lines, or pie slices are displayed. By applying three-dimensional effects to the plot area, you can make the chart elements appear more realistic and visually appealing. This can enhance the viewer's understanding of the data being represented and make the chart more engaging.
In summary, to give chart elements a realistic, three-dimensional look, you should focus on the plot area (Option D). The axis (Option A), chart area (Option B), and legend (Option C) do not directly contribute to creating a three-dimensional appearance for the chart elements.

Visit here to learn more about chart elements:

brainly.com/question/5016723

#SPJ11

an engineering manager is selecting a team of 5 engineers for an upcoming project. there are 10 available engineers to choose from. how many different teams can be selected?

Answers

There are 252 different teams that can be selected from the 10 available engineers for the upcoming project.

To solve this problem, we can use the combination formula. The number of combinations of choosing r items from n items is given by nCr = n!/(r!(n-r)!). In this case, n = 10 (the total number of available engineers) and r = 5 (the number of engineers to be selected for the team). Plugging these values into the formula, we get:

10C5 = 10!/(5!(10-5)!) = 252

Therefore, there are 252 different teams that can be selected from the 10 available engineers for the upcoming project.

It's important for the engineering manager to carefully consider the skills and strengths of each engineer when selecting the team. By choosing a diverse group with complementary skills, the team will be better equipped to tackle the project and achieve success. The manager should also consider the individual personalities and work styles of each engineer to ensure that they can work together effectively and collaboratively. Overall, the team selection process should be thoughtful and strategic to maximize the project's potential for success.

Learn more about engineers brainly.com/question/31140236

#SPJ11

The figure above shows the graphs of the circles x^2 + y^2 = 2. What is the radius of the larger circle?
a) √2 b) 2 c) √4 d) 4

Answers

The figure above shows two circles, one inside the other. The equation x^2 + y^2 = 2 represents the smaller circle, while the larger circle is not explicitly defined in the question.

However, we can see from the graph that the center of both circles is at the origin (0,0) and that the larger circle has a radius twice as big as the smaller circle.

Therefore, the radius of the larger circle is 2 times the radius of the smaller circle, which is the square root of 2. So the answer is (a) √2.
The given equation of the circle is x^2 + y^2 = 2. To find the radius of this circle, we can rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

In this case, the equation is already in the standard form with h = 0, k = 0, and r^2 = 2. Therefore, the radius of the larger circle is r = √2. So, the correct answer is a) √2.

To know more about Equation click here.

brainly.com/question/29657983

#SPJ11

f(θ) = 2 cos(θ) + cos2(θ), 0 ≤ θ ≤ 2π

Answers

To find the maximum and minimum values of the given function f(θ), we need to find its critical points and endpoints.

First, we take the derivative of f(θ) with respect to θ:

f'(θ) = -2 sin(θ) - 2 cos(θ) sin(θ)

Setting f'(θ) = 0, we get:

-2 sin(θ) - 2 cos(θ) sin(θ) = 0

Simplifying and factoring out -2 sin(θ), we get:

-2 sin(θ) (1 + cos(θ)) = 0

This gives us two critical points: θ = 0 and θ = π.

Next, we need to evaluate the function at the endpoints of the given interval [0, 2π]:

f(0) = 2 cos(0) + cos2(0) = 3

f(2π) = 2 cos(2π) + cos2(2π) = 3

Now we compare the values of f(θ) at the critical points and endpoints to find the maximum and minimum values:

f(0) = 3 (endpoint)

f(π) = 1 (critical point)

f(2π) = 3 (endpoint)

Therefore, the maximum value of f(θ) is 3 and the minimum value is 1.

To learn more about trigonometric equation refer below

https://brainly.com/question/10676952

#SPJ11

Let X1,... ,X7 be independent normal random variables and X, be distributed as N(μ1,o₁ 2) for i = 1,.,7. Find P(X < 14) when μ₁ =.... =μ= 15 and o₁2 = ... = o2/7 = 7 (round off to second decimal place).

Answers

The probability P(X < 14) when μ₁ =.... =μ= 15 and o₁2 = ... = o2/7 = 7 is 0.

Let X1, ..., X7 be independent normal random variables, each distributed as N(μ1, o₁²) for i = 1,...,7. Given that μ₁ = ... = μ = 15 and o₁² = ... = σ²/7 = 7, you want to find P(X < 14) rounded to the second decimal place.

To solve this problem, follow these steps:

1. Calculate the mean and variance of the sum of the random variables.
Since X1, ..., X7 are independent and identically distributed, the mean of their sum is the sum of their means, and the variance of their sum is the sum of their variances. Thus, for the sum S = X1 + ... + X7, we have:

Mean of S = 7 * μ = 7 * 15 = 105
Variance of S = 7 * σ²/7 = 7 * 7 = 49

2. Calculate the standard deviation of the sum.
The standard deviation is the square root of the variance, so:

Standard deviation of S = √49 = 7

3. Calculate the z-score for X < 14.
The z-score is calculated as:

z = (X - Mean) / Standard deviation

Since we want to find probability P(X < 14), we need to find the z-score for X = 14:

z = (14 - 105) / 7 = -91 / 7 = -13

4. Find the probability P(X < 14) using the z-score.
Using the z-score of -13, you can look up the corresponding probability in a standard normal distribution table or use a calculator that provides this functionality. A z-score of -13 is extremely far from the mean, so the probability P(X < 14) is very close to 0.

To the second decimal place, the probability P(X < 14) is approximately 0.00.

Learn more about: probability - https://brainly.com/question/25839839

#SPJ11

Screenshot 2023-05-01 at 19.09.51

Answers

The circumference of the circle is given as follows: C = 109.9 in.

The relationship between the diameter of a circle and it's circumference is presented in this problem.

We have,

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, while the diameter of the circle is the distance between two points on the circumference of the circle that pass through the center. Hence, the diameter’s length is twice the radius length.

The diameter is twice the radius, hence, for a circle with diameter 35 in, the radius is given as follows:

r = 0.5 x 35

r = 17.5 in.

Then the circumference of the circle is given as follows:

C = 2 x pi x 17.5

C = 109.9 in.

More can be learned about the circumference of a circle at brainly.com/question/12823137

#SPJ1

Missing Information

The problem is incomplete, hence the relation between the diameter of a circle and it's circumference is presented.

Use the table or s = 50m + 200

9. What is the savings after 6 months?

Months Savings
0 $200
1 $250
2 $300
3 $350

Answers

$500 is the saved after 6 months

how many different ways can president, vice president, treasurer, and secretary be chosen from a class of 40 students?

Answers

There are 91,390,400 different ways to choose president, vice president, treasurer, and secretary from a class of 40 students.

To find the number of different ways to choose president, vice president, treasurer, and secretary from a class of 40 students, we need to use the formula for permutations. This formula is nPr = n! / (n - r)!, where n is the total number of items and r is the number of items being chosen. In this case, n = 40 and r = 4, so we have equations:

40P4 = 40! / (40 - 4)!
40P4 = 40! / 36!
40P4 = (40 x 39 x 38 x 37) / (4 x 3 x 2 x 1)
40P4 = 91,390,400

Therefore, there are 91,390,400 different ways to choose president, vice president, treasurer, and secretary from a class of 40 students. This means that each person in the class has a 1 in 91,390,400 chance of being chosen for all four positions.  

It's important to note that this calculation assumes that each person can only hold one position, and that the order in which the positions are filled matters. If these assumptions are changed, then a different formula would need to be used.


Learn more about equations brainly.com/question/10413253

#SPJ11

on the package of a certain snack, the nutrition facts label states that the protein content in one serving is 4 grams. the company wants to check this claim and takes a simple random sample of five servings of the snack from their factory. their lab obtains these measurements (in grams): 3.88 4.04 3.97 3.90 3.94 all but one of these measurements is under 4 grams. can this be due to chance error in the measurements?

Answers

the discrepancy between the sample mean and the claimed protein content is due to chance error in the measurements

To determine whether the discrepancy between the sample mean and the claimed protein content of 4 grams can be due to chance error in the measurements, we can perform a hypothesis test.

The null hypothesis, H0, is that the true mean protein content is equal to 4 grams. The alternative hypothesis, Ha, is that the true mean protein content is less than 4 grams.

Using a one-tailed t-test with a significance level of 0.05 and four degrees of freedom (n-1=5-1=4), we calculate the t-value to be -1.386. The critical t-value for a one-tailed test at a significance level of 0.05 and four degrees of freedom is -2.132.

Since our calculated t-value of -1.386 is greater than the critical t-value of -2.132, we fail to reject the null hypothesis. This means that we do not have enough evidence to conclude that the true mean protein content is less than 4 grams. Therefore, it is possible that the discrepancy between the sample mean and the claimed protein content is due to chance error in the measurements.

To  learn  more about measurements click here:brainly.com/question/28913275

#SPJ11

using equations : two sum of two is 15.3 times the smaller number is 5 more the larger number.. Calculate the 2 numbers (hint : Let the smaller number be x)

Answers

Answer:

Step-by-step explanation:

15.3

+1.285

Answer = 16.585

Cuántas diagonales tiene un polígono de 33 lados

Answers

Answer: 527

Step-by-step explanation:

As applied to a polygon, a diagonal is a line segment joining any two non-consecutive vertices. Therefore, a quadrilateral has two diagonals, joining opposite pairs of vertices.

Indicate below whether the equation in the box is true or false

Answers

Answer:

False

Step-by-step explanation:

In order to compare fractional terms both sides, you have to make sure that both sides are equal in denominator. In this case, our denominators are 3 and 12. To equalize the denominator of both sides, find the LCM of 3 and 12 which is 12.

Therefore, we multiply 2/3 by 4/4. Therefore:

[tex]\displaystyle{\dfrac{2\cdot 4}{3\cdot 4} = \dfrac{9}{12}}\\\\\displaystyle{\dfrac{8}{12} = \dfrac{9}{12}}[/tex]

The equation is false since 8/12 does not actually equal 9/12. You can also try cutting the pieces into 12 pieces total and compare both shaded regions; you'll see that both are not equivalent at all.

Learn More About Comparing Fractionhttps://brainly.com/question/22008272

8. The table shows the commission y (in dollars) of selling x cell phone plans.
Cell Phone Plans, x
Commission, y
100 150 250 400
a. Does the table represent a linear or nonlinear function? Explain.
by different
b. Based on the pattern in the table, what is the commission of selling amounts.
5 cell phone plans?

Answers

The table represents a nonlinear function because both the slope and common difference are not constant.

Based on the pattern in the table, the commission of selling 5 cell phone plans is 600.

What is a linear function?

In Mathematics, a linear function is a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

This ultimately implies that, a linear function has the same slope and it is typically used for uniquely mapping an input variable to an output variable, which both increases or decreases simultaneously.

Therefore, this table does not represent a linear function because the slope isn't constant and the common difference is not constant between successive data points.

When x = 5 cell phone plans, y is given by;

y - 400 = 200

y = 600.

Read more on linear function here: brainly.com/question/27325295

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Other Questions
what is the value of cos60 as a fraction in its simplest form if someone used one of gibb's attacking behaviors on you, it is best to: To determine if a sample is truly representative of the population, an auditor would be required to:conduct multiple samples of the same population.use systematic sample selection.audit the entire population.never use sampling because of the expense involved. In act one, the Stage Manager describes the time capsule that the townspeople plan to put in the bank cornerstone, saying: Were putting in a Bibleand the Constitution of the United Statesand a copy of William Shakespeares play. What do you say, folks? What do you think?YknowBabylon once had two million people in it, and all we know about em is the names of the kings and some copies of wheat contractsand contracts for the sale of slaves. Yet every night all those families sat down to supper, and the father came home from his work, and the smoke went up the chimney, --same as here. And even in Greece and Rome, all we know about the real life of the people is what we can piece together out of the joking poems and the comedies they wrote for the theatre back then.So Im going to have a copy of this play put in the cornerstone and the people a thousand years from nowll know a few simple facts about usmore than the Treaty of Versailles and the Lindbergh flight.See what I mean?Sopeople a thousand years from nowthis is the way we were in the provinces north of New York at the beginning of the twentieth century. This is the way we were: in our growing up and in our marrying and in our living and in our dying (Wilder 33).The Stage Manager wants to leave a record of everyday life for future generations to find so that people who find the time capsule will know what life was like beyond just the historical facts and major events. Besides the items listed in the passage above, what else would you have included in the time capsule that would accurately portray daily life in Grovers Corners? Select items that you would include in the time capsule in addition to the items already listed. You must choose at least two items, and explain your reasoning clearly. What would people far in the future learn about daily life from your choices? In 150-200 words, justify your choices by explaining why you think those items should also be included in the time capsule. Take time to consider the less obvious choices or items that were special because they had significance behind them. PLEASE HELP !!!Which equation represents the graph?y=-1/3x-3y=3x-3y=-1/3x+1/3y=-3x-1/3 Offering 2-for-1 coupons is effectively the same as offering customers coffee at half price? A. True B. False. What is the volume of this triangular pyramid What is the slope of the line y=-2x+3?A. -3OB. 2C. -2D. 3 How does Fitzgerald reinforce the theme of the Roaring Twenties on page 69? Select all of the following equation(s) that are quadratic in form. x4 6x2 27 = 0 3x4 = 2x 2(x + 5)4 + 2x2 + 5 = 0 6(2x + 4)2 = (2x + 4) + 2 6x4 = -x2 + 5 8x4 + 2x2 4x = 0 The last worksheet in a workbook is often a summary of the preceding worksheets. true false if an organism shows a recessive phenotype, such as short pea plants, its genotype can be ______ refers to the practice of including ethnic themes and cross-cultural practices within a company's mainstream. A. Cause marketing. B. A total market the neurotransmitter _____ is involved in eating, aggression, and sleeping. what are homologous chromosomes? a maternal and paternal chromosome that have the same genes a paternal y and a maternal x chromosome present together in males 4. Draw the boundaries of the Delhi Sultanate using the key.by 1351;after 1235;and the route of Taimur's invasion..Kay:ArabianSea~Boundary of Delhi Sultanate in 1235Boundary of Delhi Sultanate at isgreatest under Muhammad TughlaqTaimur's invasion, 1398Bay ofBungalINDIAN OCEANthis is APS history book, if u have that please share the answer .Which of the following led to the collapse of the Central American Common Market in 1969?A. Devaluation of the Brazilian currency by 40 percentB. A coup in Nicaragua that led to the overthrow of the incumbent regimeC. War between Honduras and El Salvador after a riot at a soccer match between teams from the two countriesD. Withdrawal from the trade arrangement by Costa RicaE. Collapse of monetary policy between Costa Rica and El Salvador .Which of the following students' statements best summarizes the research on the belief-bias effect?a. Petra: "The belief-bias effect shows us how top-down processing influences logical reasoning; we should emphasize the actual information in the reasoning problem."b. Chris: "The belief-bias effect illustrates how people systematically keep trying to confirm a hypothesis, rather than trying to disconfirm it."c. Josh: "According to the belief-bias effect, people systematically prefer a conclusion that is stated in the positive form, rather than a conclusion that uses the word not."d. Cynthia: "The belief-bias effect shows us that people draw conclusions in logical reasoning on the basis of how frequently their prior beliefs come to mind." Yong Soon Mins "Dwelling" is an assemblage that attempts to express the artists:a. reaction to the Gulf War.b. sentiment of joy about motherhood.c. longing for the beauty of the natural world.d. feelings of a divided self. c