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

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.

Find the distance between the points. (-7,8) (7,8)


PLEASE H E L P.

Answers

Answer:

14

Step-by-step explanation:

Hope this Helps!!!!!

If x= -4, find the value of x²-5+6.​

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

Which expression is equivalent to ? Assume

Answers

[(2x³y⁴)² × 2x]½

(2x³y⁴)½ ×(2x)½

2x³y⁴(2x)½

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)

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

1 2 2/3×2 1/3 plz help plz

Answers

Answer:

76/9

Step-by-step explanation:

Alternative form: 8 4/9, 8.4

_____________________________

Answers

Step-by-step explanation:

hope it is helpful to you

Solve for x in the diagram below.
110°
(8x +30°

Answers

Answer:

880x+30

880    880

x=29.3 repeating

Step-by-step explanation: Hope this helps

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

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

Answers

Answer:

What is the current requirement needed for a person to have inbox power in brainly?

Answer:

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

2+(-5)+8.25 (-5.5)

If the side length of a square is 4 inches, its area is __ square inches and its priemeter is __ inches.

Answers

Answer:

16 for both

Step-by-step explanation:

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

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

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

What is the value of i^12?

Answers

Answer:

i^12

Step-by-step explanation:

there is no further answer

Answer:

i^12 = 1  

One to any power is one.?

What is the period of the following periodic function? to 3 decimal places

y= .5csc(x+9)-6

Answers

Don’t click it please don’t

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 :) !!

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.

What time is it in iowa when the sun goes down in new york at 5:20 pm est?

Answers

It will be 4:20 pm in Iowa Eastern time to Central Time

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:

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:

Find the solution set of the inequality:

-3x + 8 < 15

Answers

Answer:

the answer would be x>-7/3

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

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. :)

Can Somone Help me with my homework ​

Answers

Answer:

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

Part B) yes, the bases and heights are the same

Part C) not enough info

Step-by-step explanation:

Part C)

area of the circle = π(1/2h)²

area of ellipse = π(1/2h)(1/2 major axis)

Which table contains only values that
satisfy the equation y = 6x +2?
FOR BRAINLIST!!

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

Table C

2 = 2 (true)

8 = 6+2 ; 8=8 (true)

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

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

4. Find the value of x.
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

x=12

24-u=234 solve for u

Answers

Answer:

u= -210

Step-by-step explanation:

Hope this is helpful(please make me the brainliest!)

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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