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:

Mean=X=12

SD=3

W=7+2X

Mean(W)=7+2Mean(X)

Mean(W)=7+2(12)

=7+24=31

SD(W)=2SD(X)

SD(W)=2(3)=6

Ans: D


Related Questions

Which expression is equivalent to 4x4x4x4x4

Answers

Answer:

Step-by-step explanation:

4x4x4x4x4=4^5=1024

3 digit number
when it is divided by 9 the remainder is 3​

Answers

Answer:

Mabey 102 try that.

Step-by-step explanation:

Hope this helps!

The corporate team building ecent will cost $6 if it has 3 attendees. if there are 8 attendees how much will the corporate team building event cost?

Answers

Answer:

The team building event will cost $24 for 4 attendees.

Step-by-step explanation:

Given,

Cost charged corporate team building = $6 for every attendee

Number of attendees = 4

We will multiply the amount of one ticket with number of attendees in order to find the total cost.

Cost charged for 4 attendees = 6*4

Cost charged for 4 attendees = $24

I need help with this please

Answers

Answer:

[tex]16x < - 64 \\ x < - \frac{64}{16} \\ x < - 4[/tex]

hope this helps.

10p - 3p-2/4+5 when p = 10

*I'm in 5th grade pls help*​

Answers

Answer:

10(10)-3(10)-2/4+5=149/2 (decimal 74.5)

Question 1 (3 points)
(6.03)
Which expression shows a sum of three terms? (3 points)
O a
x3
3 + x + 3
Ob
ос
3x
Od
3(x + 3)

Answers

Answer:

more context please:)

Step-by-step explanation:

Answer:

3 + x + 3

Step-by-step explanation:

Hope it helps!

6.) Which is the best description of the equation
below?

2x-2y=6

Answers

A Cause I'm big brain and we learned that

what is 4 1/2-3 5/6 from page 393 GO Math book

Answers

Answer:

The answer is 1/6

Step-by-step explanation:

This is the answer because it is.

It is 1/6
This is the answer because

Ricardo ran four miles in 31 minutes. It took him 6.25 minutes to run the first mile. Ricardo ran the remaining miles at a slow and steady speed. How long did it take him to run each of the last three miles?​

Answers

Answer:

8.25 minutes

Step-by-step explanation:

31 minutes-6.25 minutes=24.75 remaining miutes between the last 3 miles so then you take 24.75 minutes÷ 3 miles remaining= 8.25 minutes each last 3 miles

A large tank is partially filled with 100 gallons of fluid in which 40 pounds of salt is dissolved. Brine containing 1 2 pound of salt per gallon is pumped into the tank at a rate of 6 gal/min. The well-mixed solution is then pumped out at a slower rate of 4 gal/min. Find the number of pounds of salt in the tank after 30 minutes. (Round your answer to two decimal places.

Answers

Answer:

76.09 pounds

Step-by-step explanation:

From the information given:

[tex]R_{in} = (\dfrac{1}{2} \ lb/gal ) *(6 \ gal/min)[/tex]

[tex]R_{in} =3 \ lb/min[/tex]

At a slower of 4 gal/min, the solution gets pumped out;

So,

[tex]R_{out} = \dfrac{4A}{100+(6-4)t }[/tex]

[tex]R_{out} = \dfrac{2A}{50+t }[/tex]

The differential of the equation is:

[tex]\dfrac{dA}{dt}+ \dfrac{2}{50+t}A=3 ---(1)[/tex]

For the linear differential equation, the integrating factor is determined as:

[tex]\int_e \dfrac{2}{50 +t}dt = e^{2 In|50+t|[/tex]

[tex]= (50+t)^2[/tex]

Multiplying [tex](50+t)^2[/tex] with the above integration factor;

[tex](50+t)^2 \dfrac{dA}{dt} + 2 (50+t) A = 3(50 +t)^2[/tex]

[tex]\dfrac{d}{dt}[ (50 +t)^2 A] = 3(50+t)^2[/tex]

[tex](50+t)^2 A = (50 +t)^3 + c[/tex]

[tex]A = (50 +t) + c (50 +t )^{-2}[/tex]

By using the given condition:

A(0) = 40

40 = 50 + c (50)⁻²

10 = c(50)⁻²

OR

c = -10 × 2500

c = -25000

A = (50 + t) - 25000(50 + t)⁻²

The number of pounds of salt in the tank after 30 min is:

A(30) = (50+30) - 25000(50 + 30)⁻²

[tex]A(30) = 80 - \dfrac{25000}{6400}[/tex]

[tex]A(30) = 76.09 \ pounds[/tex]

Thus, the number of pounds of salt in the tank after 30 min is 76.09 pounds.

please help I am stuck... Liner equations & graphs!!!

Answers

Answer:

T is correct (the fourth answer)

Step-by-step explanation:

Step-by-step explanation:

I believe it's graph T..

what are the factors of 66??

Answers

Answer:

1 2 3 6 7 11 22 26 33 66

Step-by-step explanation:

I did the math

I am a College Major at UOF in Florida

Mark me Brainliest!!!!

Hey there!

“What are the factors of 66?”

1 * 66 = 66

2 * 33 = 66

3 * 22 = 66

6 * 11 = 66

Answer

66 factors are…. 1, 2, 3, 6, 11, 22, 33, and 66.

• 1, 2, 3, 6, 11, 22, 33, & 66

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours? (1 point)

A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1,10 and 2,20 and 3,30.
A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1, 50 and 2,50 and 3,50.
A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1, 5 and 2,10 and 3,15.
A graph is shown. The title of the graph is Cycle Renting. The horizontal axis label is Number of Hours. The horizontal axis values are 0, 1, 2, 3, 4, 5, 6. The vertical axis label is Cost in dollars. The vertical axis values are 0, 10, 20, 30, 40, 50, 60. Points are plotted on the ordered pairs 1,20 and 2,40 and 3,60.

Answers

Answer:

Graph A <==

Step-by-step explanation:

$ 50 for 5 hours......50/5 = 10...thats $ 10 per hr

so the equation would be : y = 10x...with x being the number of hrs and y being the total cost.

So ur x axis will be the hours and your y axis will be the total cost.

so ur answer is :the title of the graph is cycle renting. the x axis (the horizontal axis)...since it is the hours, will be labeled 0,1,2,3,4,5,6

the y axis (the vertical axis)...since it is the total cost, will be labeled  

0,10,20,30,40,50,60. points are plotted on (1,10),(2,20), and (3,30)

A manager of a clothing store always orders 2 small T-shirts and 3 large T-shirts for
every 4 medium T-shirts. The manager plans to order 24 medium T-shirts. How
many small T-shirts and large T-shirts should the manager order? Show your work.

Answers

Answer:

12 small, 18 large

Step-by-step explanation:

x - small

y - large

z- medium

4z=2x=3y then she orders 24

24/4=6 times more than usually, so we should *6 for every x and z

24z=6*2x=6*3y

12 - x - small tshirt

18 - y - large

........................​

Answers

Answer:

Step-by-step explanation:

Figure (1)

x° = 107° [Vertically opposite angles]

Since, vertical angles are equal in measure.

Figure (2)

x + 71° = 90° [Given, complementary angles]

x = 90° - 71°

x = 19°

Figure (3)

x + 21° = 180° [Given as supplementary angles]

x = 180° - 21°

x = 159°

Figure (4)

x = 129° [Vertical angles]

Figure (5)

x° = 90° [Given]

z° + 34° = 90°

z° = 90° - 34°

z° = 56°

Since, x° + y° + z° = 180° [Linear angles]

90° + y° + 56° = 180°

y° + 146° = 180°

y° = 180° - 146°

y° = 34°

Help me please thanks

Answers

Answer:

y=x+4

Step-by-step explanation:

Slope intercept is y= mx+b

The slope is rise/run or change in y/change in x. Here the slope is 1 since when y goes up1, x goes to the right 1 (1/1=1).

The y intercept is 4 since it hits the y axis at 4.

so it would be y= 1x+4 which is y=x+4

Tina contributes 9.5% of her monthly salary towards her 401(k) and her employer matches her contribution up to 5.4% of her annual salary. If the interest rate of her 401(k) is 8.1% compounded monthly and her monthly salary is $2,461, determine the amount in her account after 25 years. Round to the nearest cent.
a.
$339,804.33
b.
$354,452.86
c.
$344,941.24
d.
$347,269.59



Please select the best answer from the choices provided


A
B
C
D

Answers

Answer:

In 25 years, Tina will have $354,452.86

Step-by-step explanation:

Monthly Contribution - $366.69 (Tina & Employer)

Length of Time in Years - 25

Estimated Interest Rate - 8.1%

Compound Frequency - Monthly

Select all of the equations where x = 3 is a solution.

A.7x - 2 = 19
B.5x = 15
C.5x + 6 = 21
D.2x=5
E.3x = 33
F.3x = 1

Answers

Answer:

x=3 in equation ;5x=15 and in equation C.

Given the coordinates, determine whether PQR & XYZ are congruent


P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)


PQ=

XY=

QR=

YZ=

PR=

XZ=


Are the triangles congruent? If yes, explain your reasoning and write a congruence statement.

Answers

Answer:

The triangles are congruent

Step-by-step explanation:

Given

[tex]P(5,-4), Q(-3, 7), R(0, 2), X(-2,-1), Y(9, 7), Z(3, 2)[/tex]

Required

Determine if PQR = XYZ

To do this, we make use of distance formula.

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

For PQ:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (-3,7)[/tex]

So:

[tex]PQ = \sqrt{(-3-5)^2+(7-(-4))^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(7+4)^2}[/tex]

[tex]PQ = \sqrt{(-8)^2+(11)^2}[/tex]

[tex]PQ = \sqrt{64+121}[/tex]

[tex]PQ = \sqrt{185}[/tex]

For XY:

[tex](x_1,y_1) = (-2,-1)[/tex]

[tex](x_2,y_2) = (9,7)[/tex]

So:

[tex]XY = \sqrt{(9-(-2))^2+(7-(-1))^2}[/tex]

[tex]XY = \sqrt{(9+2)^2+(7+1)^2}[/tex]

[tex]XY = \sqrt{(11)^2+(8)^2}[/tex]

[tex]XY = \sqrt{121+64}[/tex]

[tex]XY = \sqrt{185}[/tex]

For QR:

[tex](x_1,y_1) = (-3,7)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]QR = \sqrt{(0-(-3))^2 + (2-7)^2}[/tex]

[tex]QR = \sqrt{(0+3)^2 + (-5)^2}[/tex]

[tex]QR = \sqrt{(3)^2 + 25}[/tex]

[tex]QR = \sqrt{9 + 25}[/tex]

[tex]QR = \sqrt{34}[/tex]

For YZ:

[tex](x_1,y_1) = (9,7)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]YZ = \sqrt{(3-9)^2+(2-7)^2}[/tex]

[tex]YZ = \sqrt{(-6)^2+(-5)^2}[/tex]

[tex]YZ = \sqrt{36+25}[/tex]

[tex]YZ = \sqrt{61}[/tex]

For PR:

[tex](x_1,y_1) = (5,-4)[/tex] and [tex](x_2,y_2) = (0,2)[/tex]

So:

[tex]PR = \sqrt{(0-5)^2+(2-(-4))^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(2+4)^2}[/tex]

[tex]PR = \sqrt{(-5)^2+(6)^2}[/tex]

[tex]PR = \sqrt{25+36}[/tex]

[tex]PR = \sqrt{61}[/tex]

For XZ:

[tex](x_1,y_1) = (-2,-1)[/tex] and [tex](x_2,y_2) = (3,2)[/tex]

So:

[tex]XZ = \sqrt{(3-(-2))^2+(2-(-1))^2}[/tex]

[tex]XZ = \sqrt{(3+2)^2+(2+1)^2}[/tex]

[tex]XZ = \sqrt{5^2+3^2}[/tex]

[tex]XZ = \sqrt{34}[/tex]

From the calculations above:

[tex]PQ = XY = \sqrt{185[/tex]

[tex]QR = XZ = \sqrt{34[/tex]

[tex]PR = YZ = \sqrt{61[/tex]

Hence, the triangles are congruent base on SSS (Sides- Sides-Sides)

2y-x=8 and y-2x=-5. Solve the system of equations

Answers

Answer:

y = 7   x = 9

Step-by-step explanation:

2y-x=8

2(2y-x=8)

4y-2x=16

-(y-2x= -5)

3y +0x= 21

3y=21

y=7

2(7)-x=8

14-x=8

9=x

6. You want to go to the movies. A ticket for a movie
cost $10.90. There is a student discount for 20% off
with a student ID. The tax rate charged is 5.75%.
What is the sale price of your ticket? Explain how you
arrived at your answer.

Answers

Answer: I do not know

Step-by-step explanation:

Answer: 9.22 (This is rounded)

Step-by-step explanation:

20% off of 10.90 is 2.18. So, you subtract that from 10.90 and you get 8.72. Then, you find the tax rate which is 0.5014. When you round it, you should get 0.50. After that, you add it to 8.72 since it’s the tax. That then gets you 9.22.

50 POINTS PLEASE HELP!!!!!!!!!!!!!
On average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes. Which absolute value equation can be used to calculate Carter's maximum and minimum time to get ready? Let x represent the maximum and minimum time.


|x−15|=25

|x+15|=25

|x+25|=15

|x−25|=15

Answers

Answer:

i thinking a or d

Step-by-step explanation:

The absolute value equation is |x+15|=25. Therefore, option B is the correct answer.

What is a absolute value equation?

To solve an equation containing absolute value, isolate the absolute value on one side of the equation. Then set its contents equal to both the positive and negative value of the number on the other side of the equation and solve both equations.

Given that, on average, Carter can get ready in 25 minutes but, depending on the day, his time can vary from the average by 15 minutes.

Let x represent the maximum and minimum time.

So, the absolute value equation is |x+15|=25

Therefore, option B is the correct answer.

To learn more about a absolute value equation visit:

https://brainly.com/question/2166748.

#SPJ2

PLEASE HELP ME IN SUPER CONFUSED!
Represent the following sentence as an algebraic expression, where "a
number" is the letter x. You do not need to simplify.
Twice the difference of a number and 3.

Answers

Answer:

x-3*2

Step-by-step explanation:

4. Connie makes handmade quilts for her grandchildren. Each quilt is 4 ft. by 6 ft. What is the approximate length of the diagonal of the quilt?​

Answers

Answer: 7.2ft not sure if ur rounding answers. If nearest whole number than 7ft.

Step-by-step explanation:

Use Pythagorean theorem.

4^2 + 6^2 = c^2

16 + 36 = 52 = c^2

C = 7.2ft

help asap no trolls pls!!

Answers

Answer:

U

Step-by-step explanation:

Answer:

V

Step-by-step explanation:

Sum of angles in a triangle = 180°

66c + 40c +74c = 180°

106c + 74c =180

180c = 180

c=1

Side v is the largest

please help if u can! :)))

Answers

Should be 11.53256.

What is the value of each variable 45 h and 9

Answers

Answer:

How many variables?

Step-by-step explanation:

lines DE and AB intersect at point C.
What is the value of X?

12
25
38
52

ignore the answer i marked, i was guessing around. ​

Answers

Answer:

B

Step-by-step explanation:

∠ACE and ∠ECB form a straight angle whose sum = 180°, hence

2x + 2 + 5x + 3 = 180

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25 → C

How can you rewrite -8 -− 10 as an addition problem?

A:-8- -10
B -8+10
C-8+18
D-8+ -18

Answers

Answer:

B. -8+10

Step-by-step explanation: keep the -8 change - sign to +sign then change -10 to 10 .

Hope it helps :)

ons: Practice
Question 5 of 5
Type the correct answer in the box. Use numerals instead
What value of x makes this equation true?
X/6 - 7 = -4

Answers

Answer:

[tex]x = 18[/tex]

Step-by-step explanation:

Given

[tex]\frac{x}{6} - 7 = -4[/tex]

Required

Solve for x

[tex]\frac{x}{6} - 7 = -4[/tex]

Add 7 to both sides

[tex]\frac{x}{6} - 7+7 = -4+7[/tex]

[tex]\frac{x}{6} = -4+7[/tex]

[tex]\frac{x}{6} = 3[/tex]

Multiply through by 6

[tex]6 * \frac{x}{6} = 3 * 6[/tex]

[tex]x = 3 * 6[/tex]

[tex]x = 18[/tex]

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