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
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]
please help with this question i just need the volume
Answer: 4) 49 1/2
5) 15
Step-by-step explanation:
To find volume you must use L x W x H.
4) 3 x 3 x 5.5= V
3 x 3 = 9
9 x 5. 5= 49.5
5) 2 x 2 x 3.75= V
2 x 2= 4
4 x 3. 75 = 15
A bank has a special vault for valuable items . It has 3 dials that operate the combination . The first dial has the numbers from 1 to 100 , the second and third each have the 26 letters of the alphabet . In order to open the vault, the bank manager must correctly set each dial . How many possible combinations are there for this vault?
100
52
26
67,600
152
Answer:
There are 67,600 possible combinations for this vault.
Step-by-step explanation:
First dial: 100 possible values
Second dial: 26 possible values
Third dial: 26 possible values.
How many possible combinations are there for this vault?
Multiplication of these values. So
100*26*26 = 67600
There are 67,600 possible combinations for this vault.
Using an applet, we found that the theory-based test results in a t-statistic of -7.25 and p-value less than 0.0001. State your conclusion in the context of the study.
a. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Chicago than with the anchor of Green Bay.
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
c. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Green Bay than with the anchor of Chicago.
d. We have very weak evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is larger with the anchor of Chicago than with the anchor of Green Bay.
Answer:
b. We have very strong evidence that the long-run average guess of the population size of Milwaukee, Wisconsin is smaller with the anchor of Green Bay than with the anchor of Chicago.
Step-by-step explanation:
Smaller p-value indicates a strong evidence in favor of the alternative hypothesis which means we can reject the null hypothesis. In the given scenario the p-value is 0.0001 which is very small. There is sufficient evidence for the rejection of null hypothesis.
Directions: Evaluate the following combinations and determine the value of the
unknown. Write the complete solutions in your answer sheet.
1. nCs = 126
2. 10Cr= 252
3. C(n, 5) + 8 = 9
4. C(n+1, 7) = 01
5. C(6r, 6-1) = 12 + C(4,2)
what is the answer with solution po
Answer:
1. C(9,4) : n=9, s=4
2. C(10,5) : r=5
3. C(5,5) : n=5
4. C(7,7) : n=6
5. C(18,17) : r=3
Step-by-step explanation:
Which expression is equivalent to
Answer:
The first one.
Step-by-step explanation:
it's this one!!!!_;$;;#+$;
Answer:
12 Units
A total of 12 units have been traveled.
DUE IN THREE MINUTES
i give brainliest
factor each expression:
9+21
14+28
80+56
Answer:
Step-by-step explanation:
The secret trick to factoring is the greatest common factor.
The greatest common factor of 9 and 21 is 3. Thus, our expression is
3(3 + 7).
The greatest common factor of 14 and 28 is 7. Our expression is
7(2 + 4)
The greatest common factor of 80 and 56 is 8. This makes our expression
8(10 + 7).
PLEASE HELP !! ILL GIVE BRAINLIEST !!
How many times greater is the value of the 9 digit in 90,523 than the 9 digit in 59,112?
Answer:
I'm pretty sure it's 10,000
someone please answer this!!
Answer:
130
Step-by-step explanation:
41 plus 9 equal 50 then u minus 50 from 180 and get
130
Answer:
b = 40km is the answer.
Step-by-step explanation:
a = 9km
b = ?
c = 41km
By using the Pythagoras theorem,
a² + b² = c²
9² + b² = 41²
81 + b² = 1681
b² = 1681 - 81
b² = 1600
b = 40km
∴ b = 40km is the length of the missing leg.
A school needs 2,400 notebooks for next year if the notebooks come in packages of 60, how many packages should the school buy?
Answer:
40
Step-by-step explanation:
Divide 2400 by 60 to get 40
Hope this helps!
Answer:
40
-step explanation:
If a basketball court is 94 feet long and 50 feet wide, what is the area of a basketball court?
Answer:
4700
Step-by-step explanation:
To find the area, the formula is to multiply the width and the length. That is what I did and got 47 hundred
how do you solve this problem
1/3 *3-3=4
This is PEMDAS as well as order of operations and or parentheses, exponents, multiplication, division, addition, and subtraction. Multiplication and division go together, so you do whichever one comes first. Same goes to addition and subtraction. A way to remember the order is Please Excuse My Dear Aunt Sally.
Find two ratios equivalent to each ratio 3:11
Answer:
Multiplying each side by 5⇒ 15: 55
Multiplying each side by 10⇒30:110
Step-by-step explanation:
Answer: 3:11= 30:110 and 6:22
Step-by-step explanation:
30:110 is multipled by 10 and 6:22 is multiplied by 2!
It can be divided or multiplied by whatever number you want! If you want to divide it by one number, make sure that it will be without the remainder because it’s equivalent! I hope I helped you!
X+4y<4 linear inequalities
Answer:
See Explanation
Step-by-step explanation:
Given
[tex]x + 4y < 4[/tex]
The question is incomplete, as what is to be done is not stated.
However, possible sub-questions could be to determine the slope and the y-intercept for the boundary line.
To calculate slope, we have:
[tex]x + 4y < 4[/tex]
Solve for 4y
[tex]4y < - x + 4[/tex]
Solve for y
[tex]y < -\frac{x}{4} + \frac{4}{4}[/tex]
[tex]y < -\frac{1}{4}x + 1[/tex]
A linear inequality is represented as:
[tex]y <mx + b[/tex]
Where [tex]m =slope[/tex] and [tex]b = y\ intercept[/tex]
So:
By comparison:
[tex]mx = -\frac{1}{4}x[/tex]
[tex]m = -\frac{1}{4}[/tex]
and
[tex]b = 1[/tex]
So:
[tex]Slope = -\frac{1}{4}[/tex]
[tex]y\ intercept = 1[/tex]
Also, see attachment for graph
Help me pls I don’t get this one
Answer: <BAC is 28.5
Step-by-step explanation:
line AO and Line OB are congruent (both are radius of the circle)
<BAC and <OBA are congruent
<AOB is linear to BOC so 180-57= 123 <AOB is 123
Triangle AOB is Isosceles
2a+123=180
2a=57
a=28.5
click image to see it all..... thank you
Answer:
x = 7.5
Step-by-step explanation:
Proportions:
5 x
_ = _
6 9
What is the value of C in the matrix equation below
Work out the size of angle x
Answer:
65°
Step-by-step explanation:
As you landscape a 4 leaf clover intersection, you will need to buy
enough grass seed to cover all 4 circles. Each of the circles has the same
diameter: 47 meters. Calculate the total area of all grass seed needed to
cover all 4 circles.
Answer:
A = 6940 m²
Step-by-step explanation:
We are told that there is a clover leaf intersection.
I have attached a picture of it with the 4 circles showing.
We are told the diameter of each circle is the same and equal to 47 m.
Thus, radius = 47/2 = 23.5 m
We want to find the area of grass that will cover the 4 circles. Thus;
Formula for area of a circle is;
A = πr²
For the 4 circles, we have;
A = 4πr² = 4 × π × 23.5²
A = 6939.78 m²
Approximately A = 6940 m²
A cashier in a bank counts the total money as 450000 in denomination of ₹100 ₹500 and ₹100 notes the number of notes are in the ratio 1:2:5 find the number of notes of each denomination
Answer:
1x+2x+5x=4,50,000
8x=450000
x=450000/8
x=56,250
put the value of x
100 rupee note = 56,250
500 rupee note =2*56250=112500
1000 rupee note =5*56250=281250
total value =56250+112500+281250=450,000
Hope this helps you!
There are 4 types of questions on Mrs. Moore's English final exam. The percent of each type of question is shown in the graph.
Types of Exam Questions
Answer:
10
Step-by-step explanation:
5 + 5
ANSWER AS FAST AS YOU CAN
Answer:
D
Step-by-step explanation:
3 1/2 ---> 7/2
1 3/4 ---> 7/4
2 1/2 ---> 5/2
(7/2)(7/4)(5/2) = 245/16 = 15 5/16 ft³
Write a rule for the translation.
A) (x-1, y+2)
B) (x-2, y+1)
C) (x+2, y-1)
D) (x+1, y-2)
A company makes steel rods shaped like cylinders. Each rod has a radius of 4 centimeters and a height of 20 centimeters. The company uses, on average, 28,134.4cm3 of steel each hour to make these rods. How many rods does the company make, on average, each hour? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest hundredth
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
How much money is needed to buy one fourths of a pound of butter at $.92 a pound 4 pounds of sugar at $.24 a pound and six eggs at $.72 a dozen
Answer:
$1.55
Step-by-step explanation:
(0.92/4) + (4 x 0.24) + (0.72/2) = 1.55
PLEASE HELP ME!!!!!!!!!!!
Answer:
I'm not sure
Step-by-step explanation:
3 feet = _______ inches
help plzz :(
Answer:
36 inches
Step-by-step explanation:
We know that 1 ft = 12 inches
2 ft = 2 * 12 = 24 inches
3 ft = 3*12 = 36 inches
y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45
Answer:
D
Step-by-step explanation: