The random variable X has mean 12 and standard deviation 3. The random variable W is defined as W = 7+2X. What are the mean and standard deviation of W?
A. The mean is 24, and the standard deviation is 6.
B. The mean is 24, and the standard deviation is 13.
C. The mean is 31, and the standard deviation is 3.
D. The mean is 31, and the standard deviation is 6.
E. The mean is 31, and the standard deviation is 13.

Answers

Answer 1

Answer: D. The mean is 31, and the standard deviation is 6.

Step-by-step explanation:

Given the data :

X = mean = 12 ; Standard deviation = 3

W = 7 + 2x

Variance of W = 2x

Variance = Standard deviation²

(2x)² = 4x²

Variance

Standard deviation of X = 3

Variance (W) = 4*3² = 4 * 9 = 36

Variance (W) = 36

Standard deviation = sqrt(variance)

Standard deviation = sqrt(36) = 6

Mean ; of x = 12

Mean(W) = 7 + 2(12)

Mean = 7 + 24

Mean = 31


Related Questions

Nada is making square coasters with sides of 3 inches. On each coaster is a circular design. What is the radius of the largest circle that fits on one of the coasters?

Answers

Answer:

1.5

Step-by-step explanation:

diameter is half the length of the circle so if it is 1.5 the full length will be 3 inches which is the full length of the coaster

a factory is able to manufacture parts for a ceiling fan. based on the data shown in the graph below, how many parts can the factory manufacture in 14 hours​

Answers

Answer:

Step-by-step explanation:

What’s is 9 divided by 3/10

Answers

Answer:

30

Step-by-step explanation:

9/(3/10)=9*(10/3)=30

Which statement describes data that is normally distributed?

A.
The majority of the data is to the left of the mean.

B.
The majority of the data is to the right of the mean.

C.
The majority of the data is in the center with the mean.

D.
The majority of the data is split to the right and left of the mean.

Please explain and no answering just for points.

Answers

Answer: D.) The majority of the data is split to the right and left of the mean

Which is the percent for 1.67

Answers

The percent is 167% have a good day

Answer:

167%

i thank that is the anserr.

Step-by-step explanation:

3.2 - 5.1n - 3n + 5= n +8.2 can someone tell me what goes in the blank

Answers

The answer for (n) is 0

Find the value of x.

Answers

Answer:

[tex]\sqrt{30}[/tex]

Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store

Answers

Answer:

10 units

Step-by-step explanation:

Distance from Sarah's house to Randi's house = 6 units.

Distance from Randi's house to store = 8 units.

By using Pythagoras theorem:

Distance from Sarah's house to store

[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]

Based on the table, which function represents the same relationship? The x column has 0, 1, 2, 3. The y column has 0.0625, 0.25, 1, and 4.
Answer
A g(x) = (0.25)
B g(x) = 256(0.25)
C92) = 0.0625(4)"
D g(x) = 0.5(4)"

Answers

The answer is c. I hope u get it right

Answer: C 92) = 0.0625(4)

Step-by-step explanation:

it iz

You are purchasing a car for $12,465.00 plus 5.65% sales tax. You make a $1,300.00 down payment and have a fair credit score. If you improved your credit score to good and paid $1,500 on your purchase, how much interest could you save in the first month?

Secured Unsecured
Credit APR (%) APR (%)
Excellent 4.75. 5.50
Good 5.00 5.90
Average 5.85 6.75
Fair 6.40 7.25
Poor 7.50 8.40



$13.25


$14.68


$21.74


$25.69

Answers

Answer:

21.74

Step-by-step explanation:

What will be the equations for the justification.

Answers

Answer:

The expression is: [tex]-30n + 70 = -80[/tex]

Step-by-step explanation:

Given

[tex]n = 5[/tex]

Multiply both sides by 3

[tex]3 * n = 5 * 3[/tex]

[tex]3n = 15[/tex]

Subtract both sides by 7

[tex]3n - 7 = 15 - 7[/tex]

[tex]3n - 7 = 8[/tex]

Multiply both sides by -10

[tex]-10(3n - 7) = -10*8[/tex]

[tex]-30n + 70 = -80[/tex]

To verify: Substitute 5 for n

[tex]-30 * 5 + 70 = -80[/tex]

[tex]-150 + 70 = -80[/tex]

[tex]-80 =-80[/tex] ---- Verified

Roberto wants to display 18 sports cards in an album. Some pages hold 2 cards and others hold 3 cards. How many different ways can Roberto display his figures?


Answers

Answer: The answer is 2.

HOPE IT HELPS!!

1. (1.-2).(-2, 0).(-1,2). (1.3)

Function:

Domain:

Range:

Answers

domain: (1,-2,-1)
Rage: (-2,0,2,3

Please help me if u know

Answers

Lol I’m lookin for the same answer

A rectangle has a length of 3x + 7 and a width of 2x. If the perimeter of the
rectangle is 94 units, what is the length of the rectangle.

Answers

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

[tex] L = 3x + 7 [/tex]

[tex] W = 2x [/tex]

The perimeter of the rectangle is given by:

[tex] P = 2W + 2L [/tex]

[tex] 94 = 2(2x + 3x + 7) [/tex]

[tex] 94 = 10x + 14 [/tex]

[tex] x = 8 [/tex]

Now, we can calculate the length of the rectangle:

[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]        

         

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

HELP PLEASE
Determine the length of a chord whose central angle is 65° in a circle with a radius of 9 feet.
Question 5 options:


1)
4.84 feet


2)
9 feet


3)
9.67 feet


4)
8.16 feet

Answers

Answer:

3)

9.67 feet

Step-by-step explanation:

The length of the chord is approximately 8.16 feet. The correct option is 4.

What is the length of the chord of the circle?

A line segment connecting two points on a circle is referred to as a circle's chord in geometry. The circle's center is traversed by the longest segment that can be drawn between any two points on the circle.

To get the chord's length, we can utilize the formula for a circle's chord length. The equation is:

Length of chord = 2r sin(θ/2)

where r is the circle's radius, is its radian central angle, and sin is the sine function.

First, we need to convert the central angle from degrees to radians:

θ = 65° = (65/180)π = 1.14 radians

Now we can plug in the values:

Length of chord = 2(9 feet) sin(1.14/2) ≈ 8.16 feet

Therefore, the length of the chord is approximately 8.16 feet.

To know more about the chord of a circle follow

https://brainly.com/question/8937665

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Diego had $420 in his checking account. He made 6 deposits of $35.50 each. He also
needs to write 4 checks for $310.75 each.
a. How much did Diego deposit In total?

show the work please.
giving 13 points!!

Answers

Answer:
So, first you would need to multiply 6 by $35.50, then take that number and add it to the $420 to get $633.00. Then you need to multiply $310.75 by 4. After take that $1243.00 and subtract $633.00 from it to get $610.00.
the answer is: Diego would need to add at least $610 to his account to cover his checks.


Explaination:

A mason has 7,758 bricks that he needs to share equally among 9 dierent building sites. How many bricks should go to each site?

Answers

Answer:

The answer is 862

Step-by-step explanation:

All you have to do is divide 7758 by 9 which would equal 862. Hope this helps.

On Wednesday, farmer bell wants to take an inventory of his mango trees He planted 7 rows of mango trees. There are 42 mango trees in each row. How many mango trees does he have altogether?

Answers

7•42= 294 mango trees

H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro

Answers

Answer:

HI sorry for the late answer:>

Step-by-step explanation:

Answer:

it is indeed HI

Step-by-step explanation:

What is the value of q?
52 589
9

Answers

I believe the answer is 55

How many solutions exist for the given equation?
x+12) = 4x-1
EEEE
O zero
O one
two
O infinitely many

Answers

Answer:

One answer exists for this equation.

Jada’s lawn mowing service charges $28 per hour plus a $20 fee to cover gas for the mower. Mai’s lawn service charges $16 per hour, but a $44 fee. For how many hours will Jada’s service be cheaper than Mai’s?

Answers

Answer:

5

Step-by-step explanation:

       JADA                  MAI

1.      48                       60

2.     68                       76

3.      88                       92

4.      108                     108

so its 5

Answer:12 hour

Step-by-step explanation:they ask For how many hours will Jada’s service be cheaper than Mai’s its 12 if you subtract 60-48 which is how much jade and mai is paying you have 12 and thats with the fee without the fee it would still be 12 becuase thats how much hours they put into it

Please help this is for a grade and I need it answered soon

Answers

Answer:

option D

Step-by-step explanation:

5c(3c²)³

5c(27c^6)

135c^7

Ed spent 25% of his savings on lunch, which cost $5.25. How much did he have in savings before lunch?

Answers

Step-by-step explanation:

I think 21 dollars is the answer

A ladder 5 m long, leaning against a vertical wall makes
an angle of 65° with the ground. How far up the wall is
the top of the ladder?

Answers

The height of the top of the ladder from the ground is 4.53 m

Step-by-step explanation:

Given:

length of ladder =5 m

Angle formed = 65°

Let h be the Height of the top of the ladder from the ground

Required:

Height of the top of the ladder from the ground

Equation:

SOH-CAH-TOA

Since the hypotenuse side is given and what we are to solve is the opposite side, use SOH

[tex]sinθ\:=\: \frac{opposite}{hypotenuse}[/tex]

[tex]sin(65°)\:=\: \frac{opposite}{5\: m}[/tex]

[tex]opposite\:=\:(5 \:m )\:sin(65°)[/tex]

[tex]opposite\:=\:4.53 \:m[/tex]

Final Answer:The height of the top of the ladder from the ground is 4.53 m

Please refer to the photo for the illustration

Р
D
Which of the statements describe the transformation on
the left? Check all that apply.
NOPQR-N'O'P'Q'R'
ONOPQR-→ NOPQR
O QRNOP → R'N'O'P'Q'
NOPQR maps to N'O'P'Q'R'
O QPONR maps to Q'P'O'N'R'
N
R
N
R

Answers

The statements which describe the transformation on the left are:

NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'

What is a transformation?

A transformation refers to the movement of a point from its original position to a new location. Hence, when an object is transformed, all of its points would also be transformed.

Based on the image of these geometric figures (see attachment), we can infer and logically deduce that the following statements describe the transformation on the left:

NOPQR → N'O'P'Q'RNOPQR maps to N'O'P'Q'R'QPONR maps to Q'P'O'N'R'

Read more on transformation here: https://brainly.com/question/12040896

#SPJ1

Answer: a,b,d that´s the answer

Step-by-step explanation

Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answers

Question:

A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.

- How many boxes were in stock when they opened?

- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.

- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.

Answer:

1. [tex]Initial = 244[/tex]

2. [tex]b = 244 + 52h[/tex]

3. 660 boxes

Step-by-step explanation:

Given

[tex]Rate = 52\ per\ hour[/tex]

[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]

Solving (a): Initial Number of boxes

First, we calculate the number of boxes made in 3 hours

[tex]Boxes = Rate * Hours[/tex]

[tex]Boxes = 52 * 3[/tex]

[tex]Boxes = 156[/tex]

If they had 400 boxes at the 3rd hour.

Then, the number of boxes when they opened is:

[tex]Initial = 400 - 156[/tex]

[tex]Initial = 244[/tex]

Solving (b): Linear function

[tex]b = boxes[/tex]

[tex]h = hours[/tex]

Since, we have the rate and the initial number of boxes.

The linear function is:

[tex]Boxes = Initial + Rate * Hours[/tex]

i.e.

[tex]b = 244 + 52 * h[/tex]

[tex]b = 244 + 52h[/tex]

Solving (c): Boxes at the end of the 8th hour

We have:

[tex]b = 244 + 52h[/tex]

In this case:

[tex]h = 8[/tex]

Substitute 8 for h

[tex]b = 244 + 52 * 8[/tex]

[tex]b = 244 + 416[/tex]

[tex]b = 660[/tex]

Hence, there are 660 boxes at the end of the 8th hour

HELP ME FAST PLEASE I NEED THIS VERY SOON!!! you’d be a lifesaver omg

There are 600 seats in the auditorium. This is 112 less than the number of seats in the gymnasium. How many seats are in the gymnasium?



Answers

712 is the answer of this question

The answer would be 712

Explanation:

600

+

112

———

712

--6x = 48 (solving equations)

Answers

if your solving for X your answer will be -8 im glad to help! have a nice day~
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