Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution. The monthly rents for studio apartments in a certain city have a mean of $900 and a standard deviation of $180. If random samples of size 30 are drawn from the population, identify the mean, wx, and standard deviation, 7, of the sampling distribution of sample means with sample size n

Answers

Answer 1

Mean of the sampling distribution (wx): $900

Standard error of the mean (σx): Approximately $32.92

To find the mean and standard error of the mean of the sampling distribution, we can use the Central Limit Theorem.

The Central Limit Theorem states that for a large enough sample size, the sampling distribution of the sample means will be approximately normally distributed, regardless of the shape of the population distribution.

In this case, the population mean is μ = $900 and the population standard deviation is σ = $180. We are drawing random samples of size n = 30 from this population.

The mean of the sampling distribution (wx) will be equal to the population mean (μ), which is $900.

The standard deviation of the sampling distribution (σx), also known as the standard error of the mean, can be calculated using the formula:

σx = σ / √n

where σ is the population standard deviation and n is the sample size.

Substituting the given values, we have:

σx = $180 / √30

Calculating this value, we find:

σx ≈ $32.92

Therefore, the mean of the sampling distribution (wx) is $900, and the standard error of the mean (σx) is approximately $32.92.

Please note that the Central Limit Theorem assumes a sufficiently large sample size (typically n ≥ 30) for the approximation to hold.

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Related Questions

Three lines intersect at a common point. In the figure below, m∠1=x°, m∠2=2x°, and m∠3=75°.



Which equations can be used to determine the value of x? Select all that apply.




A:3x°=75°


B:3x°=105°


C:3x°=255°


D:3x°+75°=180°


E:x°+2x°+75°=180°


F:x°+2x°+3x°=360

Answers

Answer:

3x=105,x°+2x°+75°=180°,and 3x°+75°=180°

Step-by-step explanation:

no explanation sorry,your welcome

The larger of two numbers is 6 more than the smaller integer. Their sum is 52, What are the numbers?

Answers

Make x the variable to represent the smaller integer. Since the larger integer is 6 more, you are going to add 6 to the 2x. Solve.
x + x + 6 = 52
2x + 6 = 52
2x = 46
x = 23
The smaller integer = 23
The larger integer = 29
Check:
23 + 29 = 52

After taking part in a competition, Seth received a silver medal with a diameter of 8 inches. What is the medal's circumference?

Use 3.14 for ​.

Answers

Answer: 25.12 inches

Step-by-step explanation:

C=2πr

8/2=4

2(3.14)(4)

2(12.56)

25.12

Answer:

25.12 inches

Step-by-step explanation:

So, the formula for circumference is πd (or πr² whichever you prefer. We already have the diameter, so we do π x d, which is π x 8 inches, which is equal to 25.12 inches.

This is correct only if you use π as 3.14 hope this helps :)

Plzz help it do today and ill mark u brainliest

Answers

1,278 is the answer.

Answer:

The 1st one is the correct one

8 x 6 = 48

48 x 21 =1008

9 x 5 = 45

45 x 6 = 270

1008 + 270 = 1278

Find the missing side lengths.

Need help please.

This is the 6th time I post.

Answers

Answer:

x = 9.238 y = 4.619

Step-by-step explanation:

I kind of forgot how to do sohcahtoa but we do cosine for one of them. I used a calculator but the lengths seems reasonable so I'm sure they should be right.

Does there exist an 8 x 8 matrix A = (a) satisfying the following three conditions? (i) If i j then a = 0 (ii) a18 #0 (a18 denotes the entry in the first row and eighth column of A) (iii) A is diagonalizable If such a matrix exists, provide an example of one and prove that it satisfies the given three conditions. If no such matrix exists, prove that no such matrix exists

Answers

We need to determine whether an 8x8 matrix A exists that satisfies three conditions:

(i) having zeros below the main diagonal,

(ii) having a non-zero entry in the first row and eighth column, denoted as a18

(iii) being diagonalizable. In the second paragraph.

we will either provide an example of such a matrix and prove that it satisfies the conditions, or prove that no such matrix exists.

To provide an example of an 8x8 matrix A that satisfies the given conditions, we need to construct a matrix that satisfies each condition individually.

Condition (i) requires that all entries below the main diagonal of A are zero. This condition can easily be satisfied by constructing a matrix with zeros in the appropriate positions.

Condition (ii) states that a18, the entry in the first row and eighth column, must be non-zero. By assigning a non-zero value to this entry, we can fulfill this condition.

Condition (iii) requires that the matrix A is diagonalizable. This condition means that A must have a complete set of linearly independent eigenvectors. If we can find eigenvectors corresponding to distinct eigenvalues that span the entire 8-dimensional space, then A is diagonalizable.

If we are able to construct such a matrix that satisfies all three conditions, we can provide it as an example and prove that it fulfills the given conditions. However, if it is not possible to construct such a matrix, we can prove that no such matrix exists by showing that the conditions are mutually exclusive and cannot be satisfied simultaneously.

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Find an equation of the line through (2,6) and parallel to y=2x+3

Answers

Step-by-step explanation:

We first Find the Slope of the line y=2x+3

The Slope Intercept Form of the equation of a given line is:

y=mx+c

where m is the Slope of that line, and c is the Y intercept.

For this line, the Slope is 2

So the Slope of the line PARALLEL to y=2x+3 will also be 2. And we are given that it passes through the point (2,6)

The Point-Slope form of the Equation of a Straight Line is:

(y−k)=m⋅(x−h)

m is the Slope of the Line

(h,k) are the co-ordinates of any point on that Line.

Here, we have been given the coordinates (h,k) of 1 point on that line as (2,6)

And the Slope m is 2

Substituting the values of h,k and m in the Point-Slope form, we get

(y−2)=(2)⋅(x−6)

(y−2)=2⋅(x-6)

y−2=2x -12

y=2x -12 +2

y=2x-10

The graph will look like

graph{y=2x -10 10 [10, -10, 5, - 5]}

HELP PLS MARKING BRAINLIEST SHOW WORK IF YOU CAN IF NOT ITS COMPLETELY FINE JUST DO IT

Answers

Answer:

1824 in.

Step-by-step explanation:

First find the area of the two shapes you split that are the rectangle and triangle:

Rectangle Area:

48 * 32 = 1536

Area- 1536 in.

Triangle Area:

48 * 12 * 1/2

       or

48 * 12 divided by 2

= 288 in.

Now add the two areas up:

1536 + 288 = 1824 in.

Answer:

1824

Step-by-step explanation:

I assume you want to find the area of the shape. So in order to find the area of the triangle it is height times base than divide it by 2 which looks like this

(12*48)/2 which equals 576

than to find the area of the rectangle it is height times width which is

48*32 which equals 1536

add them together and you get 1824

1) The High View tourist train must climb a 6,000 foot high mountain. The tracks are at a 30° angle with the ground. What is the distance the train must travel from the base of the mountain to the peak of the mountain?

Answers

This high school stuff?

Which one is true
1
2
3
4

Answers

The student mad a mistake between step 2 and 3

PLEASE HELP!!!!! (screenshot)

Answers

Answer:

The answer is A. y <= -3x + 3

look at screenshot for question

Answers

Answer:

I think it is the first one as you add the 4 like from the other

The following is the line 20 from table of random digits (Sec A.7 of the text book, pg 911). 836362 701590 717950 011142 927065 873018 025973 688799 a) Choose a simple random sample of six from the combined list of following two lists. b) Select a stratified random sample of 4 students and 2 faculty members. Students: Abel Fisher Huber Miranda Reinmann Moskowitz Carson Ghosh Santos hen Jimenez Griswold Jones Neyman Kim Shaw David Hein O'Brien Thompson Deming Hernandez Klotz Pearl Utts Elashoff Holland Liu Potter Varga Faculty: Andrews Fernandez Kim Besicovitch Gupta Lightman Moore West Vicario Yang

Answers

a) A simple random sample of six numbers from the given table is {836362, 701590, 717950, 011142, 927065, 873018}.

Explanation: A simple random sample (SRS) is a subset of individuals from a statistical population in which each member of the subset has an equal probability of being chosen. A table of random digits is a collection of random digits in a table that can be used to select random samples and to conduct statistical sampling and experimentation.

b) The data can be stratified into two categories: Students and Faculty. Stratified Random Sampling is used when the population is heterogeneous. This technique divides the population into various subgroups or strata and samples randomly from each subgroup to create a representative sample. Here, we need to choose 4 students and 2 faculty members.

We can use stratified random sampling as follows: First, we select 4 students and 2 faculty members from their respective lists randomly. The chosen students are Abel, Moskowitz, Kim, and Holland, and the chosen faculty members are Andrews and Lightman. The stratified random sample is {Abel, Moskowitz, Kim, Holland, Andrews, Lightman}.

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Find the Volume. Use pi=3.14. Round to the nearest hundredth.

4.19in^3

419in

4.2cm^3

0.52in^3

Answers

Volume = 4.19 inches³

Step-by-step explanation:

radius = 1 inches

π = 3.14

volume of SPHERE = 4/3 × π × radius³

= 4/3 × 3.14 × 1³

= 4.19 inches³

Question 1 (1 point)
A decorator is wallpapering a wall with a circular window of diameter 1.00 m.What is the
area of the wall in square feet? (1 m - 3.2808 feet)
3

Answers

Answer:

95.875 [tex]ft^{2}[/tex]

Step-by-step explanation:

1.) Calculate the area of the trapezoid

A(trapezoid) = (1/2)*(base1 + base2)*h = (1/2)*(2.6+3.6)*3 = (1/2)*6.2*3 = 9.3

2.) Calculate the area of the circle

radius = (1/2)*(diameter) = (1/2)*1 = 0.5

A(circle) = (1/2)*[tex]\pi[/tex]*[tex]r^{2}[/tex] = (1/2)*[tex]\pi[/tex]*([tex]0.5^{2}[/tex]) = (1/2)*[tex]\pi[/tex]*0.25 = 0.125*[tex]\pi[/tex] = 0.392699

3.) Because the area of the circle is not included in the wall, subtract the area of the circle from the area of the trapezoid:

A(trapezoid)-A(circle) = 9.3-0.392699 = 8.9073 [tex]m^{2}[/tex]

4.) Convert to [tex]ft^{2}[/tex]:

Because 3.2808 feet are in a meter and the unit of the answer is in [tex]m^{2}[/tex], we need to multiply the answer by ([tex]3.2808^{2}[/tex]) to get to [tex]ft^{2}[/tex].

8.9073*([tex]3.2808^{2}[/tex]) = 8.9073*10.7636 = 95.875 [tex]ft^{2}[/tex]

Which sequence of transformations produces R'ST' from RST?

-5

-4

-3

-2

-

1

2

3

4

5

X

a 90° clockwise rotation about the origin and then a translation 2 units left

a 90º counterclockwise rotation about the origin and then a translation 2 units right

a translation 2 units left and then a reflection over the y-axis

a translation 2 units right and then a reflection over the x-axis

Answers

Answer:

-3

Step-by-step explanation:

got it right on edg

The sequence of transformations that produces R'ST' from RST is reflection over the x axis and translation 2 units right.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation. Rotation, translation and reflection produce congruent images.

Triangle RST has vertices at R(0, 0), S(-2, 3) and T(-3, 1).

Triangle RST is reflected over the x axis to give R*(0, 0), S*(-2, -3) and T*(-3, -1). It is then translated 2 units right to get R'(2, 0), S'(0, -3) and T*(-1, -1).

The sequence of transformations that produces R'ST' from RST is reflection over the x axis and translation 2 units right.

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Finance Name: This project has two problems centered around finance - one question about the mathematical explosion of compound interest and the other about the stock market. Problem 1 1. Let's use mathematics to see why time is so important when it comes to saving for retirement. Suppose you have $10,000 to invest in a mutual fund that averages a 12% annual return. a) After 5 years, what is the value of the fund? Explain or show your work. b) After 10 years, what is the value of the fund? Explain or show your work. c) After 20 years, what is the value of the fund? Explain or show your work. d) it looks like time doubles in parts b) and c) from 10 to 20 years. Does the account value also double? if not, why not?

Answers

The value of the funds are A) $5,674.27 b) $3219.73  c) $1036.37

What Net Present Value?

Rerecall that Net Present Value (NPV) is the difference between the present value of cash inflows and outflows over a period of time. It is used in capital budgeting and investment planning to analyze the profitability of a projected investment or project.

Cost of investment = $10,000

averages a 12% annual return.

a) After 5 years,

The value of the fund PV = FV/(1 + r)ⁿ

PV = 10,000/1+0.12)⁵

PV = 10000/(1.12)⁵

PV = 10000/1.762341683

PV = 5,674.27

The net present value of the investment after 5 years is $5674.27

b) After 10 years,

The value of the fund is PV = 10,000/1+0.12)¹⁰

PV = 10000/(1.12)¹⁰

PV = 10000/3.105848208

PV = 3219.73

The net present value of the investment after 5 years is $3219.73

c) After 20 years

The value of the fund is PV = 10,000/1+0.12)²⁰

PV = 10000/(1.12)²⁰

PV = 10000/9.646293093

PV = 1036.37

The net present value of the investment after 5 years is $1036.37

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4. A local park with a small lake attracts Canada geese. Officials have kept
track of the population over time.
Year
Population
2001 2003 2005 2007 2009 2011 2013
26 42 68 98 122 166 210
please put it on the graph

Answers

Answer:

Step-by-step explanation:

(10-4)²(12+10/2)=_________

Answers

Answer:

should be 612

Step-by-step explanation:

Answer:

(10-4)²(12+10/2)=

(6)²(12+5)=

(36) (17) = 612

Arrange the given polynomial in descending order.
9x? + 9x +3+2x

Answers

20x+3
This shouldddd be the answer sorry if I’m wrong, but if you group all the x variables together they add up to twenty, then you just add “+3” being that it has no x and therefore must be put in some form of separate group!

Consider following samples to , 37, 47, 32, 42, 21, 28, 22, 35, 28, 21, 29, 37, 23, 23 Data points are independently sampled from uniform distribution with the density function f(x) = 1/a where 0<=x<=a. Use method of moments to estimate a.

Answers

The estimated value of "a" using the method of moments is 47.

The method of moments is a statistical technique used to estimate parameters of a probability distribution by equating population moments with their corresponding sample moments.

In this case, the data points are independently sampled from a uniform distribution with the density function f(x) = 1/a, where 0 <= x <= a.

To estimate the parameter "a" using the method of moments, we equate the population moment (mean) with the sample moment.

The population mean (μ) of a uniform distribution with density function f(x) = 1/a is given by:

μ = (a + 0) / 2 = a/2

The sample moment is calculated as the average of the data points:

Sample mean = (22 + 23 + 23 + 28 + 28 + 29 + 32 + 35 + 37 + 37 + 42 + 47) / 13 ≈ 31.23

Equating the population mean and the sample mean:

a/2 = 31.23

Solving for "a":

a = 2 * 31.23 = 62.46

Since "a" represents the upper limit of the uniform distribution, it should be a real number. Therefore, the estimated value of "a" using the method of moments is 47, which is the maximum observed value in the given data.

Based on the method of moments, the estimated value of the parameter "a" for the uniform distribution with the given data is 47. This estimation assumes that the data points are independently sampled from a uniform distribution with the given density function.

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a passive, first-order, high pass filter has the following transfer function: please answer questions 17 to 20 based on the above transfer function.

Answers

A passive, first-order, high-pass filter is described by a specific transfer function. Questions 17 to 20 can be answered based on the given transfer function, which requires detailed analysis and calculations.

To answer questions 17 to 20 related to the passive, first-order, high-pass filter and its transfer function, we need to analyze the given transfer function and perform calculations based on it. However, the specific transfer function is not provided in the question, so it is essential to have the complete information to answer the questions accurately.

In general, the transfer function of a high-pass filter represents its frequency response and describes how it attenuates or allows the passage of different frequencies. By examining the transfer function's coefficients and terms, we can determine the filter's cutoff frequency, gain, and other characteristics.

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HELP I NEED AN ANSWER REALLY FAST AND PLEASE EXPLAIN HOW YOU GOT THE ANSWER I WILL GIVE YOU THE CROWN!!!

Answers

Answer:

B

Step-by-step explanation:

Look at the chart you can find out by looking at 20 then your answers

2/5 of 16 simplify if you can thank you

Answers

Answer:

6 and 2/5

Step-by-step explanation:

Answer:

Decimal form: 6.4

Fraction form: 32/5

Step-by-step explanation:

of = times

2/5 x 16 = 6.4

If u can now pls arigato

Answers

Answer:

1) A segment is a "part" of a line that is delimited by two points, such that it starts in a point and ends in another.

In segments the "endpoints" can commute, so is the same DA as AD.

In the image we can see 3 segments:

DA

AS

DS

2) A ray starts in a point and passes through another point, extending infinitely.

In this case, the ray DA is different than the ray AD, because the ray DA starts in D and extends to the right (because point A is at the right of point  D) infinitely.

And the ray AD starts in A and extends to the left infinitely (because point D is at the left of point A).

Also, because A and S are colinear, the rays:

ray DA = ray DS

Both of them start on D and extend infinitely to the right.

Then the rays we can see on this image are:

ray DA = ray DS

ray AS

ray SA = ray SD

ray AD.

4 rays in total.

3) The names of the segments are the ones we wrote in point 1.

DA

DS

AS

4) The segment that connects point D with point S is the segment DS.

5) The ray AS starts at A and goes to the right, then the one that goes toward the opposite of AS would be one that starts at A and goes to the left.

That one is the ray AD.

I need glow thank you appreciated

Answers

D bc it needs to have a y intercept of -1

I think it’s D because it needs -1 and none of the others have that.

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 40 feet, the height of the roof is 10 feet, and the height of the entire silo is 75 feet?

a. 393,746.3 ft
b. 343,480.8 ft
c. 326,725.6 ft
d. 376,991.1 ft

Answers

Answer:

The answer is b. 343,480.8ft

Step-by-step explanation:

I thought it was c at first because I forgot to add the volume of the cone.

The equation for the volume of a cylinder is V=π×r²×h

The solution would look like V=π40²×65=326725.8

The equation for the volume of a cone is V=1/3πr²×h

The solution would look like V=1/3π×40²×10=16755

Adding the two volumes would equal 326725.8±16755= 343480.8

i need help pls ill give branilest

Answers

Is there more to the questions or is this all of it?

Two cities are 400 miles apart. If the scale on a map reads Inch = 50 miles , find the distance between the cities on the map,​

Answers

Answer:

8 inches between cities

Step-by-step explanation:

Choose the phrase that correctly completes the statement. If r(x) is a rational function in simplest form where the degree of the numerator is 1 and the degree of the denominator is 3, then Or(x) has a horizontal asymptote at y=0 Or(x) has no horizontal asymptote or(x) has a nonzero horizontal asymptote

Answers

To predict a linear regression score, you first need to train a linear regression model using a set of training data.

Once the model is trained, you can use it to make predictions on new data points. The predicted score will be based on the linear relationship between the input variables and the target variable,

A higher regression score indicates a better fit, while a lower score indicates a poorer fit.

To predict a linear regression score, follow these steps:

1. Gather your data: Collect the data p

points (x, y) for the variable you want to predict (y) based on the input variable (x).

2. Calculate the means: Find the mean of the x values (x) and the mean of the y values (y).

3. Calculate the slope (b1): Use the formula b1 = Σ[(xi - x)(yi - y)]  Σ(xi - x)^2, where xi and yi are the individual data points, and x and y are the means of x and y, respectively.

4. Calculate the intercept (b0): Use the formula b0 = y - b1 * x, where y is the mean of the y values and x is the mean of the x values.

5. Form the linear equation: The linear equation will be in the form y = b0 + b1 * x, where y is the predicted value, x is the input variable, and b0 and b1 are the intercept and slope, respectively.

6. Predict the linear regression score: Use the linear equation to predict the value of y for any given value of x by plugging in the x value into the equation. The resulting y value is your predicted linear regression score.

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Other Questions
"Should the PPF shifts out and the terms of trade are unaffected, then a country is unambiguously better off as a higher community indifference curve can be reached." Explain why this statement is untrue and graphically illustrate it. The following questions relate to the below information.XY2 X + Y2The equation above represents the decomposition of a compound XY2. The diagram below shows two reaction profiles (path one and path two) for the decomposition of XY2. The market supply for a Fintech firm in developing a financial app in Ghana is estimated as P = 8+ 1/3 Qs. A further analysis of the market showed that the demand for financial app can be expressed as P = 44- 1/s QD. i. If the financial app market is in equilibrium, calculate the equilibrium price. ii. What is the equilibrium quantity associated with the equilibrium price?iii. If the government imposes a minimum price of GHS20, describe the kind of situation that arises in the market. iv. If a government imposed maximum price of GHS50, what will be its consequences in the market? v. Sketch your results from (i) to (iv) vi. Suppose the government makes available several financial apps under the digitalization agenda project, using a grapl, explain what happens to the market equilibrium. In the system shown in figure, the mass m1 is excited by a harmonic force having a maximum value of 50 N and a frequency of 2 Hz.Find the forced amplitude of each mass for m1 = 10 kg, m2 = 5 kg, k1 = 8000 N/m, and k2 = 2000 N/mPlease show work and do not copy/paste from previous examples. Which of the following statements is correct? A. Management accounting is a subset of cost accounting. B. Cost accounting is a subset of management acounting. C. Cost accounting is no longer required in today's competitive environment. D. Management accounting in today's environment is the same as it was many years ago. For each of the given events state the relevant elasticity concept. 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A sample of 25 from another population produced a mean of 58.6 and a standard deviation of 13.0. Assume that the two populations are normally distributed and the standard deviations of the two populations are equal. The null hypothesis is that the two population means are equal, while the alternative hypothesis is that the two population means are different. The significance level is 5%.What is the value of the test statistic, t, rounded to three decimal places?Type your answer here A company has an EBIT of $4 million, and its degree of total leverage is 2.8. The firm's debt consists of $23 million in bonds with a YTM of 10.20%. The company is considering a new production process that will require an increase in fixed costs but a decrease in variable costs. If adopted, the new process will result in a degree of operating leverage of 1.6. The president wants to keep the degree of total leverage at 2.8. If EBIT remains at $4 million, what dollar amount of bonds must be outstanding to accomplish this (assuming the yield to maturity remains at 10.20% and is equal to the coupon rate)? Do not round intermediate calculations.a. $14,705,882b. $8,294,118c. $18,521,008d. $8,539,277e. $16,806,723 calculate the ph of each of the following solutions. ka=1.8*10^-5 Q2. Read the document "Collective agreement 2019" and answer thefollowing -5 Marks What is the name of the Union? What is the nameof the Employer? What is the duration of the agreement, i.e., whati How does ted change over the course of the summer from Golden Glass close reader A) How much zinc oxide would be produced if a 20-gram block of zinc were to completely oxidize?If half the zinc were to corrode, what would the final mass of the block be?(Hint, this is the mass of the zinc and zinc oxide combined).Using the equation from (A) how much zinc would have been lost from the initial 20 g mass is the mass of the oxidized block is 20.98 g? Dawson Toys, Ltd., produces a toy called the Maze. The company has recently established a standard cost system to help control costs and has established the following standards for the Maze toy:Direct materials: 6 microns per toy at $0.32 per micronDirect labor: 1.4 hours per toy at $6.6 per hourDuring July, the company produced 4,500 Maze toys. Production data for the month on the toy follow:Direct materials: 73,000 microns were purchased at a cost of $0.29 per micron. 39,250 of these microns were still in inventory at the end of the month.Direct labor: 6,600 direct labor-hours were worked at a cost of $45,540.Compute the direct materials price and quantity variances for July. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effectCompute the direct labor rate and efficiency variances for July. (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect Which of the following occurrences may impact political risk?-rise of popular movements -passage of laws -mistakes of leaders