a hypothesis test of a regression coefficient finds that the null hypothesis is rejected at the 5% level. this means:

Answer: 1/30 is the probability.

Answer:

c

Step-by-step explanation:

Answer:c

Step-by-step explanation:

Answer:

z = -3

Step-by-step explanation:

-7(z - 3) = 42

Distribute -7 to both numbers inside the parenthesis:

(-7(z) - -7(3)) = 42

-7z + 21 = 42

Subtract 21 from both sides:

-7z = 21

Divide both sides by -7:

[z = -3]

The sketch field of given differential  equation is attached in image .

A line's steepness and direction are measured by the line's slope. Without actually using a compass, determining the slope of lines in a coordinate plane can assist in forecasting whether the lines are parallel, perpendicular, or none at all.

Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.

The equation  y′=f(x,y) gives you a slope at each point in the  (x,y)-plane. And this is the slope a solution y(x) would have at x  if its value was y. In other words,  f(x,y) is the slope of a solution whose graph runs through the point  (x,y). At a point  (x,y), we plot a short line with the slope f(x,y).

We have y'=y2

we can write it,

[tex]\frac{dy}{dx}=y^2[/tex]

[tex]\int y^{-2}dy=dx\\\\\frac{-1}{y}=x+c\\[/tex]

The sketch field of the given differential equation is attached in image.

learn more about the sketch field,

https://brainly.com/question/18652898

#SPJ4

If DE = 4x + 5 and GJ = 3x + 25, and the value of both the expressions is same, then value of DE is, 85

An expression is a sentence with at least two numbers or variables having mathematical operation. Maths operations can be addition, subtraction, multiplication, division.

For example, 2x+3

Given that,

Two expressions,

DE = 4x + 5 and GJ = 3x + 25,

If DE = 4x + 5 and GJ = 3x + 25, and they have the same value, then we can set the two expressions equal to each other:

4x + 5 = 3x + 25

Solving for x, we get:

x = 20

So, when x = 10,

DE = 4 x20 + 5

      = 85

and GJ = 3 x 20 + 25

            = 85

Therefore, the value of DE is 85.

To know more about Expressions check:

brainly.com/question/16804733

#SPJ1

The correct statement regarding the sign of the absolute value function is given as follows:

B. The function is never negative.

A function is classified as positive in the intervals that it's graph is positioned above the x-axis.

A function is classified as negative in the intervals that it's graph is positioned below the x-axis.

When the graph of the function is exactly at the x-axis, it is said that the function assumes a value of zero.

For this problem, the lowest value assumed by the function is at the x-axis, hence it is of zero and the function is never negative, meaning that option B is correct.

More can be learned about functions at https://brainly.com/question/24808124

#SPJ1

Kilograms Pounds, kilograms and ounces, 64 kilos 141.1 lbs 141 lbs, 2 ounces.

Remember that 1 kg is equal to 2.2046 lbs when converting between the two units.

One pound generally weighs 0.45359237 kilos. One can convert a pound to kilogrammes by multiplying the stated number of pounds by an average of 0.45359237.

One kilogramme is equivalent to 2.2 pounds (kg). The kg to pounds conversion results in 2.2 pounds for 1 kilogramme. One of the keys to remembering this conversion is the capacity to compute your own weight in pounds and kilogrammes.

The kilogramme will probably be used going forward because it is a smaller figure and is easier for you to memorise.

The kilograms to pounds conversion table

Kilograms Pounds

kilograms and ounces

64 kilos 141.1 lbs 141 lbs, 2 ounces.              

To learn more about Kilograms refer to:

brainly.com/question/20550400

#SPJ4  

The standard deviation of the data set will increase by a factor of 10. This is because standard deviation measures how much variation or dispersion exists from the mean of a data set. Adding 10 to every value of the data set will increase the overall spread of the data and thus increase the standard deviation.  

To prove this mathematically, let's consider a data set A with mean M and standard deviation SD. Let's add 10 to every value of the data set to get a new data set B. The mean of set B is M+10 and the standard deviation of set B is SD'.   The formula for SD' is:  

SD':[tex]\sqrt{(x_{1} -(M+10))^{2} +(x_{2} -(M+10))^2+ (x_{3}-(M+10))^2 +...+ (x_{n}-(M+10))^2)/n }[/tex] We can simplify this by substituting the values for the xi:

 SD' =[tex]\sqrt{(((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n) }[/tex]  Now let's consider the original data set A and its standard deviation SD:

 SD =[tex]\sqrt{(((x_{1}-M)^2 + (x_{2}-M)^2 + (x_{3}-M)^2 +...+ (x_{n}-M)^2)/n) }[/tex] ,We can substitute the values for xi in this formula as well:  

SD= [tex]\sqrt{ (((x_{1}-M-10)^2 + (x_{2}-M-10)^2 + (x_{3}-M-10)^2 +...+ (x_{n}-M-10)^2)/n)}[/tex]  If we compare SD and SD', we can see that they are identical, except that the value of M has been replaced with M+10. This means that when we add 10 to every value of the data set, the standard deviation increases by a factor of 10.

To know more about  standard deviation refer to the link brainly.com/question/23907081

#SPJ4

The coterminal angle with -210° is -570°. This is because subtracting 360° from -210° gives us -570° which is between -720° and -360°.

To find an angle coterminal with -210° that is between -720° and -360°, we need to subtract 360° from -210°. By doing this, we end up with -570° which is the coterminal angle with -210° that lies between -720° and -360°. This is because angles on the circle can 'wrap around' infinitely, and when we subtract 360° from -210°, we end up with an angle that is still equivalent to -210°, but between the two values we are looking for. Therefore, the angle we were looking for is -570°.

Learn more about angle here

https://brainly.com/question/28451077

#SPJ4

The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.

Suppose x represent the price of a small bag of popcorn.

(cost of ticket + cost of popcorn) × number of friends = total cost

⇒ (8 + x) 5 = 62.5

Simplify the equation to obtain the value of x as,

⇒  (8 + x) = 62.5/5

⇒ 8 + x = 12.5

⇒ x = 12.5 - 8

⇒ x = 4.5

Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.

Learn more about the equation here,

brainly.com/question/10413253

#SPJ6

The equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct.

What is the equation?

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, five buddies each pay $8 for a ticket to the matinee. Additionally, they each buy a little bag of popcorn. The pals spend $62.50 altogether.

Suppose x represent the price of a small bag of popcorn.

(cost of ticket + cost of popcorn) × number of friends = total cost

⇒ (8 + x) 5 = 62.5

Simplify the equation to obtain the value of x as,

⇒  (8 + x) = 62.5/5

⇒ 8 + x = 12.5

⇒ x = 12.5 - 8

⇒ x = 4.5

Thus, the equation representing the given situation is 40 + 5x = 62.50 and the price of a small bag of popcorn will be $ 4.5. Option C is correct. Option C is correct.

Learn more about the equation here,

brainly.com/question/10413253

#SPJ4

The equation representing the total amount Emma earns at the event is y = $10x.

If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:

y = kx

where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:

y = $10 * x

Therefore, the equation representing the total amount Emma earns at the event is y = $10x.

To learn more about the equation,

Visit; brainly.com/question/29657983

#SPJ4

The equation representing the total amount Emma earns at the event is y = $10x.

If the total amount Emma earns, y, is proportional to the number of bracelets, x, she sells and she earns $10 for each sold bracelet, then we can write the equation as follows:

y = kx

where k is the constant of proportionality. To find k, we can use the information that Emma earns $10 for each sold bracelet:

y = $10 * x

Therefore, the equation representing the total amount Emma earns at the event is y = $10x.

To learn more about Equation,

brainly.com/question/29657983

#SPJ4

The solution to the system is:

(x, y) = (2.236, 1), (-2.236, 1), (2.236, -1), or (-2.236, -1).

This represents two equations hyperbola and ellipse which intersect at exactly 4 points.

The system of equations, as follows:

3x² + y² = 16

x² - y² = 4

We can solve this system of equations by substitution.

Starting with the first equation, we can isolate y²:

y² = 16 - 3x²

Substituting that into the second equation, we get:

x² - (16 - 3x²) = 4

Expanding the right side:

x² - 16 + 3x² = 4

4x² = 4 + 16

4x² = 20

Dividing both sides by 4:

x² = 5

Taking the square root of both sides:

x = ±√5 = ± 2.236

With x found, we can substitute it back into the expression for y²:

y² = 16 - 3x²

y² = 16 - 3(√5)²

y² = 16 - 3(5)

y² = 16 - 15

y² = 1

Taking the square root of both sides:

y = ±1

So the solution to the system is:

(x, y) = (2.236, 1), (-2.236, 1), (2.236, -1), or (-2.236, -1)

This means the two equations are hyperbola and ellipse which intersect at exactly 4 points.

Learn more about ellipses here:

brainly.com/question/9448628

#SPJ1

There is sufficient evidence to support the claim of a greater variance for machine 1

Given: n1=25 , n2​=22

The mean is the sum of all values divided by the number of values:

x1=2.95+3.45+...+3.35+3.12/25≈3.3284

x2​=3.22+3.30+...+3.16+3.33​/22≈3.2782

The variance is the sum of squared deviations from the mean divided by n−1. The standard deviation is the square root of the variance:

s1=√(2.95−3.3284)²+....+(3.12−3.3284)²/25−1≈0.2211

s1​=√25−1(2.95−3.3284)2+....+(3.12−3.3284)2​

​≈0.2211

s2=(3.22−3.3284)2+....+(3.33−3.3284)222−1≈0.0768

s2​=(3.22−3.3284)2+....+(3.33−3.3284)2²/22−1​≈0.0768

Determine the hypotheses:

H0=σ12≤σ22

H1​=σ12​>σ22​

Compute the value of the test statistic:

F=[tex]\frac{S^1_2}{S^2_2}[/tex] =0.2211²/0.0768²≈8.288

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme. The P-value is the number (or interval) in the column title of Table 4 containing the F-value with dfn=25−1=24 and dfd=22−1=21:

P<0.01

If the P-value is less than the significance level, reject the null hypothesis.

P<0.01⇒ Reject H0

Complete Question:

The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a .05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements?

To learn more about the standard deviation, visit:

brainly.com/question/23907081

#SPJ4

There is sufficient evidence to support the claim of a greater variance for machine 1

Given: n1=25 , n2​=22

The mean is the sum of all values divided by the number of values:

x1=2.95+3.45+...+3.35+3.12/25≈3.3284

x2​=3.22+3.30+...+3.16+3.33​/22≈3.2782

The variance is the sum of squared deviations from the mean divided by n−1. The standard deviation is the square root of the variance:

s1=√(2.95−3.3284)²+....+(3.12−3.3284)²/25−1≈0.2211

s1​=√25−1(2.95−3.3284)2+....+(3.12−3.3284)2​

​≈0.2211

s2=(3.22−3.3284)2+....+(3.33−3.3284)222−1≈0.0768

s2​=(3.22−3.3284)2+....+(3.33−3.3284)2²/22−1​≈0.0768

Determine the hypotheses:

H0=σ12≤σ22

H1​=σ12​>σ22​

Compute the value of the test statistic:

F= [tex]\frac{S_2^1}{S_2^2}[/tex] =0.2211²/0.0768²≈8.288

The P-value is the probability of obtaining the value of the test statistic, or a value more extreme. The P-value is the number (or interval) in the column title of Table 4 containing the F-value with dfn=25−1=24 and dfd=22−1=21:

P<0.01

If the P-value is less than the significance level, reject the null hypothesis.

P<0.01⇒ Reject H0

To learn more about Standard deviation:

brainly.com/question/23907081

#SPJ4

Complete Question:

The variance in a production process is an important measure of the quality of the process. A large variance often signals an opportunity for improvement in the process by finding ways to reduce the process variance. Conduct a statistical test to determine whether there is a significant difference between the variances in the bag weights for the two machines. Use a .05 level of significance. What is your conclusion? Which machine, if either, provides the greater opportunity for quality improvements?

"The customer yields $780 per year in profits for this retailer."

Customer lifetime value (CLV) is a prediction of the total value a customer will bring to a business over their entire relationship with the company. Retailer profits refer to the financial gain a retailer makes after subtracting all costs, including the cost of goods sold, operating expenses, and taxes, from the revenue generated by their retail sales.

The customer spends $250 a week, so the retailer profits:

If the shopper visits the store every week for a year, the retailer profits:

If this shopper remains loyal for a 10-year lifespan, the retailer profits:

This is the CLV  without considering inflation or any other factors. To consider inflation, we can apply the 8% annual interest rate to calculate the present value of the future profits. The present value of $7,800 over 10 years with an 8% interest rate is approximately $5,100 (the exact value will depend on the method used to calculate the present value).

This question should be provided as:

Assume that a customer shops at a local grocery store spending an average of ​$250 a​ week, resulting in a retailer profit of ​$15 each week from this customer. Assuming the shopper visits the store all 52 weeks of the​ year, calculate the customer lifetime value if this shopper remains loyal over a​ 10-year life span. Also assume a 8 percent annual interest rate and no initial cost to acquire the customer.

The customer yields ​$_____ per year in profits for this retailer.

Learn more about retailer profits here: brainly.com/question/26215194

#SPJ4

a) On solving the linear equations y = - 6x - 11  and y = 4x + 19, the solutions are x = -3 and  y = 7.

b) The system of equations has one solution.

c) The solution is obtained as x = -3 and y = 7.

What is a linear equation?

A linear equation is one that has a degree of 1 as its maximum value. No variable in a linear equation, thus, has an exponent greater than 1. A linear equation's graph will always be a straight line.

The two linear equations given are -

y = - 6x - 11 .... (1)

y = 4x + 19 .... (2)

Substitute equation (1) in (2) -

- 6x - 11 = 4x + 19

Collect all the like terms -

- 6x - 4x = 19 + 11

-10x = 30

x = 30 / -10

x = -3

Substitute the value of x in equation (1) -

y = - 6(-3) - 11

y = 18 - 11

y = 7

The two equations form a linear graph and intersect at point (-3,7).

So, there is only one solution to the system of equations.

Therefore, the solutions are x = -3 and y = 7.

To learn more about linear equation from the given link

https://brainly.com/question/2226590

#SPJ1

Albert have left 7/4 cups of cheese left.

Fractions in Math, represent a numerical value that expresses a part of a whole. The whole can be any number, a specific value, or a thing.

Given,

Amount of cheddar = 2/3 cup

Amount of mozzarella = 5/6 cup

Amount of parmesan = 3/4 cup

Total cups of cheese

= cheddar + mozzarella + parmesan

= 2/3 + 5/6 + 3/4

= 8 + 10 + 9 /12

= 27/12

= 9/4

He puts 1/2 cup of cheese in pizza

Cheese left = 9/4 - 1/2 = 9 - 2 / 4 = 7/4

There is 7/4 cups of cheese left.

Learn more about fraction here:

https://brainly.com/question/10354322

#SPJ1

C. 13 + X = 8

X= 8-13

therefore 8-13 will give

X=-5

Answer:

C would be the answer

Answer:

-3

Step-by-step explanation:

-x^2-6x+8   using quadratic formula has roots  -3 ± sqrt(17).....the axis of symmetry will be in the middle of these roots at  - 3

Answer:

B is the answer, no explanation needed, this question is easy

Step-by-step explanation:

Once you have determined what x is, you may calculate how many minutes would be spent on each machine.

A limited set of equations for which we looked for common solutions is known as an equation system. It is also known as an equation set or a collection of simultaneous equations. A group of equations can be categorized in the same way as a single equation.

You must learn more about how many calories each of your two machines burns per minute!

However, you can locate a few facts about your workout goals in this word problem to get things started. You can calculate the ratio of 300 calories in 40 minutes to get the number of calories you should aim for per hour or minute:

For an hour's worth of calories, 300 calories divided by 40 minutes is x calories (you are aiming for 450 calories burned per hour)

7.5 calories per minute, or 300 calories divided by 40 minutes, is another way to look at it.

One online variant of this issue completes the setup in this manner. [WARNING: It's possible that your issue from school is different. In that situation, just use this illustration:

Eight calories per minute for the first machine

6 calories per minute for the second machine

This enables us to construct an equational system. Calorie burn will be the first equation.

8x + 6y = 300

On the machine that burns 8 calories per minute, x represents the number of minutes, and y represents the number of minutes.

Simply put, a second equation demonstrates that the sum of the minutes is 40:

x + y = 40

You can now solve the system using substitution, elimination, or linear combinations. I'll modify the second equation using substitution:

x = 40 - y

Now substituting into the first equation:

8(40 - y) + 6y = 300

320 - 8y + 6y = 300

2y = 20

y = 10

Once you have determined what x is, you may calculate how many minutes would be spent on each machine.

The complete question is:

You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both machines. How much time should you spend on each machine?

To learn more about equational system, refer to:

https://brainly.com/question/25976025

#SPJ1

Answer:Write the slope-intercept form of the line with the given slope and point.

m=−2; (5, 1)

Step-by-step explanation:

The equation formed will be - cost × number of hiking boots + cost × number of canteens and the cost of canteens will be 15.

The equation that will be formed is -

Total cost of purchase = cost of hiking boots × number of hiking boots + cost of canteens × number of canteens

Keep the values in formula to find number of canteens, as it is the only value not provided in the question.

98 = 2×34 + 2× cost of canteens

Performing multiplication on Right Hand Side of the equation

98 = 68 + 2×cost of canteens

Rewriting the formula -

2× cost of canteens = 98 - 68

Performing subtraction on Right Hand Side of the equation

2× cost of canteens = 30

Cost of canteens = 30/2

Performing division on Right Hand Side of the equation

Cost of canteens = 15 each

Thus, the cost of canteens is 15 each.

Learn more about equation -

https://brainly.com/question/28323654

#SPJ4

If  company packages puzzles in boxes that are 6 Inches by 4 Inches by 2 inches and the shipping e is a cube with 12-inch sides. The greatest number of puzzle boxes that can be packed into a shipping crate is: 36 puzzle boxes.

Volume of the puzzle box = 6 * 4 * 2

Volume of the puzzle box = 48 cubic inches

Volume of the shipping crate = 12 * 12 * 12

Volume of the shipping crate = 1728 cubic inches

Greatest number of puzzle boxes that can be packed into a shipping crate is:

Greatest number of puzzle boxes = 1728 / 48

Greatest number of puzzle boxes = 36 puzzle boxes

Therefore the Greatest number of puzzle boxes is 36 puzzle boxes.

Learn more about Greatest number of puzzle boxes here:https://brainly.com/question/219464

#SPJ1

an equation that represents the given scenario is total charges = 0.13x + 29.99.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

Given, A phone company charges 13 cents per minute and a flat fee of $29.99 each month.

Let "x" be the number of minutes

Since Fix cost to pay = 29.99$

Charge Per minute = 13 cents

Charge for x minutes = 0.13x

Thus,

total charges = 0.13x + 29.99

A. equation:

total charges = 0.13x + 29.99

B.  if you use the phone for 250 minutes a month

So, total charges = 0.13 * 250 + 299

Total charges if you use the phone for 250 minutes = 331.5$

C. y-intercept(where x is zero)

Y-intercept represents that you didn't use the phone the entire month

D. the slope represents

As we can see in the given Equation:

The slope represents the Charge for phone use per minute

Learn more about algebraic Expression here:

https://brainly.com/question/953809

#SPJ1

The sum of a rectangle's length (a) and breadth (b) equals the area of the rectangle (A). So, the area of a rectangle is equal to (a b) square units. l × b.

To learn more about rectangle refer to:

https://brainly.com/question/24571594

#SPJ4

The maximum value of the function f(x) = (x − x²)/(1 + 8x²) is 1/4, and it occurs when x = 1/2.

A function is a mathematical relationship between input and output values.

In this problem, we have a specific function defined as

=> f(x) = (x − x²)/(1 + 8x²).

Let's start by analyzing the expression of the function.

The function is composed of two parts:

=> (x − x²) and (1 + 8x²).

The first part is a simple polynomial expression with degree 2. It represents a parabolic shape with a vertex located at (1/2, 1/4).

The second part, (1 + 8x²), is always positive, so it does not affect the shape of the function.

The maximum value of the function will occur when the first part, (x − x²), is at its maximum. Since this part is a parabolic shape with a vertex at (1/2, 1/4), the maximum value is 1/4.

So, the maximum value of the function

=>  f(x) = (x − x2)/(1 + 8x²) is 1/4.

To find the value of x at which this occurs, we will have to find the x-coordinate of the vertex of the parabolic shape.

This can be done using the formula for the x-coordinate of the vertex of a parabolic equation, which is -b/2a.

Plugging in the values of a and b from the equation (x − x²) gives us

x = 1/2.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

The mutually exclusive events are:

A = {Chevrolet, Pontiac, Buick}

B = {Ford, Mercedes}

C = {Lincoln, Chrysler}

Explanation:

We will identify the given three events that are mutually exclusive.

From example 2.10

A = {Chevrolet, Pontiac, Buick }

B = {Ford, Mercedes }

C = {Lincoln, Chrysler }

Step 1 of 1

If A∩B=∅ where A and B

are two events then we can say that they are mutually exclusive.

And if there are three or more events then they are mutually exclusive if no two events have an element in common.

Now, events from example 2.10

are:

A = {Chevrolet, Pontiac, Buick}

B = {Ford, Mercedes}

C = {Lincoln, Chrysler}

We can see that all the name card are car brand and their intersection is empty.

Hence, they are mutually exclusive.

Then,

A∩B=∅ and A∩C =∅ and B∩C=∅

Final answer

The mutually exclusive events are:

A = {Chevrolet, Pontiac, Buick}

B = {Ford, Mercedes}

C = {Lincoln, Chrysler}

To know more about mutually exclusive events:

https://brainly.com/question/12961938

#SPJ4

The mutually exclusive events are:

A = {Chevrolet, Pontiac, Buick}

B = {Ford, Mercedes}

C = {Lincoln, Chrysler}



We will identify the given three events that are mutually exclusive.

From example 2.10

A = {Chevrolet, Pontiac, Buick }

B = {Ford, Mercedes }

C = {Lincoln, Chrysler }

Step 1 of 1

If A∩B=∅ where A and B

are two events then we can say that they are mutually exclusive.

And if there are three or more events then they are mutually exclusive if no two events have an element in common.

Now, events from example 2.10

are:

A = {Chevrolet, Pontiac, Buick}

B = {Ford, Mercedes}

C = {Lincoln, Chrysler}

We can see that all the name cards are car brands and their intersection is empty.

Hence, they are mutually exclusive.

Then,

A∩B=∅ and A∩C =∅ and B∩C=∅

Final answer

The mutually exclusive events are:

A = {Chevrolet, Pontiac, Buick}

B = {Ford, Mercedes}

C = {Lincoln, Chrysler}

To know more about mutually exclusive events:

brainly.com/question/12961938

#SPJ4

The cost of a bus in 1984 is =$ 7360 and in 1992 is $28140.and CPI in 1950 is 20.5.

The consumer price index (CPI) is the index that shows how much prices have changed over time. This index mainly focuses on the retailer prices for market players. Usually, this index increases due to inflation.

Part(1)

% change in CPI (1984-70)

[tex]=\frac{36.8-100}{100} \\=-63.2 \ percentage \\=-0.632[/tex]

Cost of bus = 20000(1-0.632)=$ 7360

Part II

% change in CPI (1984-92)

[tex]=\frac{140.7-199}{100}[/tex]

=40.7%

= 0.407

cost of a bus in 1992 = 20,000(1+0.407)

= $28140

part (3)

% change in CPI (1950-84)=% change in price

[tex]\frac{100-x}{x}*100=[[20000-4100]/4100]*100\\100-x=3.878x\\=x=20.5\\the\ cpi\ in\ 1950\ was \ 20.5.[/tex]

The complete question is -

In 1984, a school bus cost $20,000. To answer each of the parts below, assume that the consumer price index (CPI) was 36.8 in 1970, 100 in 1984, and 140.7 in 1992.

Part I: If the price of a school bus increased at the same rate as the CPI from 1970 to 1984, how much did a school bus cost in 1970? By how much did the price of a school bus increase from 1970 to 1984?

Part II: If the price of a school bus increased at the same rate as the CPI from 1984 to 1992, how much did a school bus cost in 1992? By how much did the price of a school bus increase from 1984 to 1992?

Part III: If a school bus cost $4100 in 1950, and if the price of a school bus increased at the same rate as the CPI from 1950 to 1984, what was the CPI to the nearest tenth in 1950?

learn more about.consumer price index (CPI)

https://brainly.com/question/8416975

#SPJ4

Chuck and Wendy's investment assets is to use their gross assets as a base and then add in any net assets.

For example, if Chuck and Wendy have $100,000 in gross assets and $50,000 in net assets, their investment assets would be $120,000.

Chuck and Wendy's fixed assets and total wealth depend on many factors, including the level of risk they are willing to take, expected return, and overall financial stability.

For example, Chuck and Wendy's may have higher risk if they have a higher return on investment but still have $100,000 in total assets if their expected return is 5%.

To know more about Total assets:

brainly.com/question/28331212

#SPJ4