A certain store sells only T-shirts. Let the random variable X represent the number of T-shirts bought from the store on any day, with a mean of 75 and a standard deviation of 20. Let the random variable Y be the total revenue from this store on a randomly selected day. If the store charges $15 per T-shirt, what are the mean and standard deviation of Y

Answers

Answer 1

Answer:

[tex](a)\ \mu_y = 1125[/tex]

[tex](b)\ \sigma_y = 300[/tex]

Step-by-step explanation:

Given

[tex]\mu_x = 75[/tex] -- Mean of T-shirts

[tex]\sigma_x = 20[/tex] -- Standard deviation of T-shirts

[tex]Rate = \$ 15[/tex]

Solving (a): The mean of the revenue [tex](\mu_y)[/tex]

To solve this, we use:

[tex]\mu_y = Rate * \mu_x\\[/tex]

This gives:

[tex]\mu_y = 15 * 75[/tex]

[tex]\mu_y = 1125[/tex]

Solving (b): The standard deviation of the revenue [tex](\sigma_y)[/tex]

To solve this, we use:

[tex]\sigma_y = \sqrt{Rate^2 * \sigma_2^2}[/tex]

This gives:

[tex]\sigma_y = \sqrt{15^2 * 20^2}[/tex]

[tex]\sigma_y = \sqrt{90000}[/tex]

[tex]\sigma_y = 300[/tex]


Related Questions

find the volume and surface area of each solid. you may use a calculator and use 3.14 as an approximation for pi

Answers

Answer:

Area = 452.16 cm²

Volume = 904.32 cm³

Step-by-step explanation:

The solid is a sphere, therefore,

Volume = ⁴/3πr³

Where,

π = 3.14

r = 6 cm

Volume = ⁴/3*3.14*6³

Volume = 904.319997 ≈ 904.32 cm³ (nearest hundredth)

Area = 4πr²

Area = 4*3.14*6²

Area = 452.16 cm²

Which expression is equivalent to ? Assume

Answers

[(2x³y⁴)² × 2x]½

(2x³y⁴)½ ×(2x)½

2x³y⁴(2x)½

4 (x + 5)=12 what is x?

Answers

X in the math problem is negative two

Answer:

x = -2

Step-by-step explanation:

4(x + 5) = 12

4x + 20 = 12

4x + 20 - 20 = 12 - 20

4x = -8

4x / 4 = -8 / 4

x = -2

Hope this helps, thank you :) !!

Help anyone I’ll mark Brainly

Answers

Answer:

1. scalene

2. isosceles

3. scalene

4. equilateral

5. isosceles

6. scalene

7. scalene

i cant see all of 8

Answer:

1. scalene

2. isosceles

3. scalene

4. equilateral

5. isosceles

6. scalene

7. scalene

i cant see all of 8

Step-by-step explanation:

Formulate the indicated conclusion in nontechnical terms. Be sure to address the original claim. A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz. Assuming that a hypothesis test of the claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.

Answers

Answer:

There is not sufficient evidence to warrant the rejection of the claim that the mean weight of cereal is atleast 14 oz

Step-by-step explanation:

The hypothesis for the test above will be stated as follows :

The claim to be tested is the alternative hypothesis, which is the negation of the Null hypothesis

H0 : μ < 14

H1 : μ ≥ 14

If the Null is rejected, then it means that the company's claim that the mean weight of its cereal being atleast 14 is valid ;

Then it means there is significant evidence to support the stance that the mean weight of cereal in the company's packet is atleast 14 oz.

I want to know if I am correct. I forgot how to do this and I am helping out little brother

Answers

No credit is added evening else is a loss

1
If ZA and ZB are complementary angles and mA = 60°, then m B =?

Answers

Answer:

30 degrees

Step-by-step explanation:

Because the angles are complementary, they MUST equal to 90 degrees

Because measure of Angle A = 60, then the measure of Angle B = 30, because 60 + 30 = 90 degrees

Find the area of the composite figure​

Answers

As it is a composite shape we would split the shape up so we get a triangle and a square

Then we would work out the area of the square and the triangle

Area of a square = length x width
Area of a triangle = 1/2 base x height

Area of a square = 10 x 15 = 150
Area of a triangle = 1/2 15 x 5 = 37.5

(5 is the height of the triangle as you do 15-10 to work out the height of just the triangle

To get the total area we just combine both areas using addition

37.5+150=187.5

Answer:187.5ft squared

Hope this helped

Jeremy bought a new pair of jeans. The jeans
regularly cost $30, but they are on sale for
10% off. There is a 6% sales tax on his
purchase. How much will Jeremy pay
altogether for the jeans ?

Answers

Answer:

Jeremy would pay $28.62 in total.

Step-by-step explanation:

Given Find the area of figured one area of figure two area of figured three area of figure four area of the whole figure

Answers

Answer:

culeous

Step-by-step explanation:

because it gives particular figured area

\

What the person above me said. :)

Kevin takes classes at both Westside college and Pinewood college at Westside class fees are $98 per credit hour and Pinewood they are $115 per credit hour. Karen is taking combined total of 18 credit hours at the two schools. Suppose that she's taking W credit hours at Westside. Write an expression for the combined total dollar amount that she paid for the class fees​

Answers

Answer:

y = 98(w) + 115(18 - w)

Step-by-step explanation:

The expression that represents how much Kevin spends for classes at both schools :  (#credits at Westside)($98) + (#credits at pinewood)($115).   If he takes all credits at Westside this is 18(98) + 0, which would be the lowest cost it could be,  if he takes all credits at Pinewood this would be 0 + (18)(115) which would be the maximum Bob could pay for 18 credits.   If y is the total cost of is courses, then  y = 98(w) + 115(18 - w).  Using the distributive property, this can be simplified.

Out of 24 cookies,
3
4
are chocolate chip. How many cookies are chocolate chip?

Answers

Answer:

18 cookies

Step-by-step explanation:

3/4 = 75%

75% = 0.75

Multiply this by 24 = 18 cookies

Please help!!! use the distributive property to rewrite the expression
(x + 3)(2x - 7)

Answers

Answer:

Step-by-step explanation:

( x + 3) (2x - 7)

x(2x - 7) + 3(2x - 7)

Plz help me well mark brainliest if you are correct!

Answers

Answer:

the radius is 4 inches

Step-by-step explanation:

diameter/2=radius

Answer: 4 inches

Step-by-step explanation: r= d/2=/2=4inches

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Answers

Answer:

i^12

Step-by-step explanation:

there is no further answer

Answer:

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Answers

Answer:

880x+30

880    880

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Step-by-step explanation: Hope this helps

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PLEASE H E L P.

Answers

Answer:

14

Step-by-step explanation:

Hope this Helps!!!!!

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Answers

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Answers

Answer:

42 is your answer if there is -5x

Step-by-step explanation:

when x=-4

x²-5x+6=(-4)²-5×-4+6=16+20+6=42

Can Somone Help me with my homework ​

Answers

Answer:

part A) yes, the bases and heights are the same

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Step-by-step explanation:

Part C)

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Which table contains only values that
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Answers

Answer:

table C

Step-by-step explanation:

We have to try to substitute the x with its value and y with its value. If the equality is satisfied, the points are points of the line

Table A

0 = 0 + 2

0 = 2 false, table A can’t be the answer

Table B

2 = 2 true

4 = 6 + 2

4 = 8 false, table B can’t be the answer

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14 = 12 + 2 ; 14= 14 (true)

20 = 18 + 2 ; 20=20 (true)

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Can you pls show work thank you for your time

Answers

Answer:

x= 12

Step-by-step explanation:

11x+2=134

-2 -2

_________

11x = 132

__ ___

11 11

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The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.

Answers

Answer:

cash price:

10% = 250

2500 - 250 = $2,250

hire purchase:

2500 + 500 + 150(18) = $5,700

a) 5,700 - 2,250 = $3,450

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Answers

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16 for both

Step-by-step explanation:

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Answers

Answer:

76/9

Step-by-step explanation:

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Answers

Don’t click it please don’t

_____________________________

Answers

Step-by-step explanation:

hope it is helpful to you

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Answers

Answer:

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Answer:

Evaluate the expression shown below and write your answer as either a mixed number or fraction in simplest form, or a decimal.

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Answers

Answer:

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Step-by-step explanation:

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Answers

Answer:

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