Mathematics College

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

Solve for the monkey. Show all work ty

Answers

Answer:

Monkey: -5/2

Step-by-step explanation:

monkey = x

3x + 4 = -x - 6

3x + x = -6 - 4

4x = -10

4x/4 = -10/4

x = -5/2

Check:

3x + 4 = -x - 6

3(-5/2) + 4 = -(-5/2) - 6

-15/2 + 4 = 5/2 - 6

-15/2 + 8/2 = -3.5

-7/2 = -3.5

-3.5 = -3.5

Answer:

-2.5

Step-by-step explanation: 3x+4=-1x-6

                                            +1x       +1x

                                        4x+4=-6

                                             -4  -4

                                         4x=-10

       divide                           _     _

                                           4     4      = -2.5

A bouncy ball is dropped such that the height of its first bounce is 6.5 feet and each
successive bounce is 75% of the previous bounce's height. What would be the height
of the 10th bounce of the ball? Round to the nearest tenth (if necessary).

Answers

Answer:

.3 feet

Step-by-step explanation:

quick math

6.5*75%^10

Hw help please ASAP
+10PTS

Answers

Answer:  i believe the answer is y=1/2x+4

Y=1/2x+4
Your slope is up 1 right 2 and the y intercept is at 4

A small business earns a profit of $4,500 in
March and $9,500 in July. What is the rate
of change in profit for this time period?

Answers

Answer:

$2750/month

Step-by-step explanation:

I believe it would be $2750 for the rate of change

What is an equation of the line that passes through the point
(
1
,
7
)
(1,7) and is parallel to the line
3
x
−
y
=
1
3x−y=1?

Answers

Step-by-step explanation:

We wish to express 3x - y = 1

in slope-intercept form.

3x - y = 1

=> y = 3x - 1

Slope of line = 3, therefore

Slope of parallel line is also 3.

We have y = 3x + c.

When x = 1, y = 7.

=> (7) = 3(1) + c, c = 4

Hence the answer is y = 3x + 4.

A chef is making pickles. he needs 15 gallons of vinegar. The store sells 2 gallons of vinegar for $3.00 and allows customers to buy any amount of vinegar. decide whether each of the following ratios correctly represents the price of vinegar.

a. 4 gallons to $3.00

b. 1 gallon to $1.50

c. 30 gallons to $45.00

d. $2.00 to 30 gallons

e. $1.00 to 2/3 gallon

Answers

a is incorrect

b is correct

c is correct

d is incorrect

e is incorrect

Answer:

its b

Step-by-step explanation:

If the scale is 3 inches = 4 kilometers. What is the amount of inches in 5 kilometers?

A 3.75 inches
B 3.75 kilometers
C 6.333.... inches
D 6.333....Kilometers ​

Answers

Answer:

3.75 inches is the correct answer..

Answer:

A. 3.75 inches

Step-by-step explanation:

The question is asking for the amount of inches not kilometers, so options B and D are automatically incorrect. I took the three inches and divided it by the four kilometers to kind inches per kilometer. The times the inches by five to get the correct answer;

3 inches = 4 kilometers

3 / 4 = 0.75

0.75 = 1 kilometer

0.75 x 5 = 3.75

3.75 inches = 5 kilometers

I hope this helps!

Combine Like Terms for this expression.
8r - 9 - 2r-1

Answers

Answer:

Your answer would be- 8-6r

Step-by-step explanation:

  You would combine the LIKE TERMS. The two pairs of like terms are 8r-2r and 9-1. You subtract those two pars and get 8-6r!

          JOKE TIME!

Why did the gym close down? It just didn't work out. *Nods head. Very sad.

How many terms are in this expression?
3n+2m+1

Answers

Answer:

three

Step-by-step explanation:

3n+2m+1

There are three terms in the expression

3n,  2m,  and 1

Answer:

three terms are in this experssion 3n+2m+1

PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!

Answers

Answer:

I would say D. There is no logical explanation for the final answer but there is for everything else.

For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.

For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.

For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.

For D: No idea what the point is.

Determine any data values that are missing from the table, assuming that the data represent a linear function.


a. 5
b. 9
c. 13
d. 11

Please select the best answer from the choices provided ​

Answers

D might be the right answer because you can multiply the values by 2 and add 7 to them and they all would equal so therefore, 11 is the correct answer.

x + 3 = 0

y = 1

What is the solution of the system?

(3, 1)
(1, 3)
(1, -3)
(-3, 1)

Answers

Answer:

1 i think this is answer...

Graph the equation.
y = -2(x - 1) - 4

Answers

Answer:

y-intercept is (0, -2)

x-intercept is (-1, 0)

Step-by-step explanation:

Graph the linear equation.


y+4=25(x−3)

Answers

Answer:

Attached

Step-by-step explanation:

y+4=25(x−3)

y = 25x - 79

The graph of the linear equation y + 4 = 25 (x + 3) is given below.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y + 4 = 25 ( x + 3)

Some coordinates on the graph are:

When x = 0,

y + 4 = 175

y = 175 - 4

y = 171

When x = 1,

y + 4 = 25 (1 + 3)

y = 100 - 4

y = 96

Now,

The graph is given below.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

the point (- 7, 4) is reflected over the line x = - 3 . Then , the resulting point is reflected over the line y = x . Where is the point located after both reflections?

Answers

Answer:

(-10,-7)

Step-by-step explanation:

first reflect over x=-3

(-7,-10)

then reflect over y=x

(-10,-7)

caleb bought 6 packs of pencils for $18. How much will he pay for 8 packs of pencils.​

Answers

Answer:

The answer is 24$.

Step-by-step explanation:

If Caleb bought 6 packs of pencils for 18$, each pack of pencils may be 3$.

If Caleb buys 8 packs of pencils for 3$, the answer would be 24$.

9. Melissa is making a set of 5 bulletin boards for her friends. She plans to decorate the bulletin boards with a strip of ribbon across each diagonal. If the bulletin boards are 12 in by 24 in, about how many total inches of ribbon will she use for all 5 boards? show work​

Answers

Answer:

Melissa will need 7200 square inches of ribbon to make the 5 bulletin boards.

Step-by-step explanation:

Since Melissa is making 5 bulletin boards for her friends, and each one measures 12 inches wide by 24 inches long, to determine the number of inches that Melissa should use in total, the following calculation must be performed:

12 x 5 + 24 x 5 = X

60 x 120 = X

7,200 = X

So, Melissa will need 7200 square inches of ribbon to make the 5 bulletin boards.

Answer:

268 in  (only for Pythagorean theorem)

Step-by-step explanation:

The answer depends, I have this question for Pythagorean theorem. So, the answer would not apply to any other homework

how how do you solve this please explain​

Answers

Answer:

1. have se x

Step-by-step explanation:

Answer:

x = 36

Step-by-step explanation:

(3x + 10) + 62 = 180

3x = 180 - 62 - 10 = 108

x = 36

Please help me ASAP

Answers

Answer:

With What

Step-by-step explanation:

It’ll go from lowest temp to highest.
1. Gainesville
2. Alford
3. Follett
4. Fowlerton

What is (-6,3) reflected across the x axis

Answers

Answer:

The new coordinates are (-6,-3) inside the third quadrant!!!!

Help me i'll help you back

Answers

Answer:

A, C, B, respectively

Step-by-step explanation:

science(density and buoyancy)

8) If a cube is cut by a plane to form a cross section, under what circumstance can the cross section
be a non-rectangular parallelogram?

Answers

This question has this set of answer choices:

a) when the plane cuts three faces of the cube, separating one corner from the others

b) when the plane passes through a pair of vertices that do not share a common face

c) when the plane is perpendicular to the base and intersects two adjacent vertical faces

d) when the plane makes an acute angle to the base and intersects three vertical faces

e) not enough information to answer the question

The right answer is the first choice: a) when the plane cuts three faces of the cube, separating one corner from the others

You can see a picture of this case in the figure attached: as you can see the cross section (in pink) is a triangle.

Find slope
11x - 6y = -36

Answers

Answer:

11/6

Step-by-step explanation:

To isolate the y on one side of the equation, you must first subtract 11x from both sides. Then the equation becomes -6y = -11x - 36.

Then you must divide both sides by -6 to isolate the y. The coefficient of the variable x becomes -11/-6, which is just 11/6.

At HEB 8 bags of chips costs $24. At this rate, how much would 3 bags cost

Answers

Answer: $9.00

Step-by-step explanation:

24 divided by 8=3
3 bags x 3 dollars= 9
Your answer would be 9, hope that helps!!

What will 3/4 divided by 5 be

Answers

Answer:

3/20= .15

Step-by-step explanation:

;)

it’s 0.15 don’t forget the 0 and the decimal they are needed for the answer and if you don’t put it you’ll be marked as wrong !

Please help me answer this :)
Explain your answer

Will give brainiest

Answers

The image.... just look at it and count
What??? Please explain more

Which statement is true about the line whose equation is y=-2x-5?
(1) it’s slope is -2
(2)it’s parallel to the line whose equation is y=-2x+5
(3) it’s y intercept is -5
(4)it’s perpendicular to the line whose
Equation is y=1/2x-5

Answers

Answer:

2

Step-by-step explanation:

I think dont come at me if I'm wrong

Answer:

1, 3, and 4 are true

Step-by-step explanation:

1. y=mx+b, m is the slope

2.  Parallel lines have the same slope. -2 is not equal to 2

3. y=mx+b, b is the y-intercept

4. Perpendicular lines,

If you multiply the slopes and the result is -1.

-2 times 1/2

-1

I need help...



Please help to find ...​

Answers

Answer:

NEED TO FIND WHAT

Step-by-step explanation:

Let f(x) = 16 – x^2 , g(x) = 4 – x. Find (fg)(x) and its domain

Answers

f(4-x)=12
Domain:(-oo,oo) these are infinity symbols by the way.

help please i don’t get this

Answers

Answer:

y=93°, z=79°

Step-by-step explanation:

Lines and Angles

There are properties of lines and angles that will help us to find the required values.

The vertex at the bottom left side of the quadrilateral has two angles that were formed when two lines crossed. Those are called linear angles, and they always add up to 180°.

This means that z is the angle needed to complete 180°, that is:

z = 180° - 101° = 79°

Now the quadrilateral must have the sum of its internal angles equal to 360°. We have three of them that sum: 100°+88°+79°=267°.

This means y is the angle needed to complete 360°, or:

y = 360° - 267° = 93°

Answer: y=93°, z=79°

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