Your friend's parents each have a job. Her mother's average weekly salary is $740 with a standard deviation of $43. Her father's average weekly salary is $535, with a standard deviation of $25. Find the average weekly salary of her parents combined, and the standard deviation of their combined salaries. You can assume that the amount of money her mother makes has no effect on her father's salary, and vice versa.

Answers

Answer 1

Answer:

M= 740 [tex] \alpha = 43[/tex]D= 535[tex] \alpha = 25[/tex]You have two samples and two standard deviations We need the average of the take home pay and their combined standard deviation.So combined both regressions to get the total combined.
Answer 2

The average weekly salary of friends' parents is 1275$ and the standard deviation is 49.739.

What is the standard deviation?

The standard deviation measures the degree of dispersion of a collection of data. Each data point is compared to the average of all the data points, and the standard deviation gives a determined number that indicates whether the data points are clustered together or dispersed. The standard deviation of a normal distribution indicates how far values deviate from the mean.

Given that, Both of my friend's parents are employed. Her mother makes $740 on average per week, with a standard variation of $43. Her father makes $535 on average each week, with a standard variation of $25.

Let X denotes the weekly salary of her mother.

X ~ Normal(740,432)

Let Y denotes the weekly salary of her father.

Y ~ Normal(535,252)

and X and Y are independent.

the average weekly salary of your parents combined = E(X+Y)

= E(X) + E(Y) = 740 + 535 =  1275

the variance of weekly salary of your parents combined = Var(X+Y) = Var(X) + Var(Y) = 432 + 252 = 2474

the standard deviation of the combined salaries = [tex]\sqrt{2474}[/tex] = 49.739

Therefore, Parents of friends make 1275 dollars on average per week, with a standard deviation of 49.739.

Learn more about standard deviation here:

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Related Questions

25 points question is below

Answers

Answer:

x - 5y = 30

Step-by-step explanation:

If you subtract x from both equations, you'll get -x. If you divide -5y, you'll end up with 1/5x and 6. The intercept doesn't matter but the slopes are parallel which means they'll never intersect anyway

good answer also makes a lot of sense you are correct

2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3

Answers

Answer:

y = 3

Step-by-step explanation:

2x-3y = -5 --------- (1)

y = 2+x ------- (2)

substitute (2) into (1)

2x-3y = -5

2x-3( 2+x ) = -5

2x-6-x = -5

2x-x = -5+6

x = 1

substitute x = 1 into (2)

y = 2+x

y = 2+1

y = 3

Answer this question correctly and I will give you brainlyist, 5.0 rating, and thanks. The question that you need to answer is in the screenshots below.

Answers

Answer:

so it should be D because after you check them all D is the only one that the watch would actually cost $50- sorry for the confusing ecplanation but im like 99.99999% sure its right

Step-by-step explanation:

Are the following equations parallel, perpendicular, or neither? y= 3x - 1 and y =
-1/3x + 10 *
Parallel
Perpendicular
Neither

Answers

Answer:

Perpendicular

Step-by-step explanation:

Where did the 45% come from. It states 55% in question

Answers

Answer:

is this a question......

PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.

Use this understanding to complete each of the equations below.
CLEAR CHECK

Answers

Answer:

-5 - (-7) = -5 + -7

= 2

-5 - 7 = -5 + -7

= -12

How to I write 1 2/3 as an improper fraction help ASAP

Answers

You would write 5/3 for it to be an improper fraction
you would write it as five over three
[ 5/3 ]

Expand the following expression by using the distributive method. 6(3b-4c)

Answers

18b-24c. U take the six times the 3b and then the 6 times the -4c. U “distribute” the six with both values

What is the greatest common factor of 49, 62 and 80? OA) 1 OE) 2 OC) 3 OD) 5​

Answers

Answer: A (1)

Step-by-step explanation:

The way to find a common factor is by dividing the given numbers by the largest possible multiple that still gives you a whole number

A

49/1=49

62/1=62

80/1=80

This is an option

B

49/2=24.5

62/2=31

80/2=40

This is not an option, 24.5 is not a whole number

C

40/3=16.333(repeating)

This is not an option, you are not given a whole number

D

49/4=12.25

This is also not an option, 12.25 is not a whole number

Answer

Our only possible answer is A-1

ILL GIVE YOU BRAINLIEST IF YOU HELP ME​

Answers

Answer:

y = (1/2) x - 2

Step-by-step explanation:

Let us consider the points (- 2, - 3) & (0, - 2)

Equation of line in two point form is given as:

[y-(-3)]/[-3-(-2)] = [x - (-2)]/[-2 - 0]

(y + 3)/(-3 +2) = (x + 2)/ (-2)

(y + 3)/(-1) = (x + 2)/(-2)

(y + 3)/(1) = (x + 2)/(2)

2(y + 3) = (x + 2)

2y + 6 = x + 2

2y = x + 2 - 6

2y = x - 4

y = (1/2) x - 2

PROCEED IN THE SAME WAY TO FIND OUT THE REMAINING FUNCTIONS.

Help if your smart plzzzzzzz
( will give 35 pts and brainliest)

Answers

Answer:

a) alternate interior angles theorem

b) OXP ≅ XOL

c) XO ≅ OX

d) reflexive property  (i'm not sure about this one)

e) ΔXOP ≅ ΔOXL

f) cpctc

make sure to double check the fourth one

Which equation could generate the curve in a graph below?

Answers

pretty sure its the 3rd one
Uhh maybe 3? I think???

Nick earns 3.5%
commission on every
car he sells. How much
would he earn if he sold
a $14.000 car?

Answers

The amount he would earn is $490.

What does multiplication mean?

Multiplication is the process of determining the product of a number. It is determined by following some mathematical processes. The sign used to represent multiplication is ×.

How much will he earn?

Commission = 3.5% x $14,000

0.035 x $14,000 = $490

To learn more about multiplication, please check: https://brainly.com/question/13814687

16 is what percent of 20?

Answers

Answer:

3.2

Step-by-step explanation:

16/20 = 0.8
0.8 * 100 = 80
Solution: 80%

11. The table below shows the cost of comic books. Number of Comic Books Total Cost (dollars) 3 3.75 5 7 8.75 10 12.50 Based on the information in the table, which is the best prediction of the cost of 12 comic books?​

Answers

Answer:

$15

Step-by-step explanation:

The unit rate or how much a comic book costs = total cost ÷ number of comic books

Using any given pair, let's use the first row (3, 3.75):

Unit rate = [tex] \frac{3.75}{3} = 1.25 [/tex]

This means a comic book cost $1.25.

Therefore, 12 comic books would cost:

12 × 1.25 = $15

4t + 2u
w;t= 2 and u= 1

Answers

15

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

In a class of 12 boys and 8 girls, two students need to be chosen for classroom jobs.
What is the probability that Mary gets selected?

Answers

Answer:

55 percent chance or 11/20 or  0.55

Step-by-step explanation

Please help i’m giving out brainliest || Q1

Answers

the answer would be a I'm my mind

it would be 8.5 ;
there is 8 box shaded and half of one box shaded
[ 0.5 = 1/2 ]

Find the value of x. Everything is in the photo.

Answers

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

27 = x

We are done! I hope this helps! :)

5/12<__<3/4 what answer goes in the blank

Answers

Answer:

We have:

5/12<__<3/4

To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.

This is ratter easy, the first step would be to write both limits with the same denominator.

we can rewrite the upper one as:

3/4 = (3/3)*(3/4) = 9/12

Where we multiplied the numerator and denominator by the same number, 3.

Now we have:

5/12 <  < 9/12

Then in the blank, we could input any number like:

5/12 + 1/12 = 6/12

6/12 is larger than 5/12, but smaller than 9/12

We also could use 7/12, or 8/12.

And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.

Then to complete the answer we will write:

5/12 > 6/12 > 9/12

2. The sum of two numbers is 67 and their difference is 3. Find the two numbers.

Answers

Answer:

35 and 32

Step-by-step explanation:

35 and 32

because when we add 35 and 32 then their sum is 67

when we subtract 35 and 32 then their difference is 3

I hope u understand it

A line includes the points (-8,8) and (6,4). Select the correct point slope form equations of this line. (Remember there can be more than one)



Group of answer choices

y-8=(-2/7)(x+8)

y+8=(-2/7)(x-8)

y-4=(-2/7)(x-6)

Answers

Answer:

y-8=(-2/7)(x+8) and y-4=(-2/7)(x-6)

Step-by-step explanation:

Point slope form equation: y - y₁ = m(x - x₁)

m is the same for all your answer choices, so you can disregard that part.

First point: (-8,8)

x₁ = -8; y₁ = 8

Plug those values into the point slope form equation and you get:

y-8=(-2/7)(x+8)

Do the same for the second point, and you get:

y-4=(-2/7)(x-6)

Answer:

first and third options

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope- formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 8, 8) and (x₂, y₂ ) = (6, 4)

m = [tex]\frac{4-8}{6+8}[/tex] = [tex]\frac{-4}{14}[/tex] = - [tex]\frac{2}{7}[/tex]

using (a, b ) = (- 8, 8 ), then

y - 8 = - [tex]\frac{2}{7}[/tex] (x - (- 8) ) , that is

y - 8 = - [tex]\frac{2}{7}[/tex](x + 8) ← first option

using (a, b ) = (6, 4 ), then

y - 4 = - [tex]\frac{2}{7}[/tex] (x - 6) ← third option

You have $125 in a savings account and you deposit an equal amount into your account each week. After 5 weeks the account holds $170. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.

Answers

Answer: 10x=y

Step-by-step explanation:

So if you subtract 170-125 you get 50. If you divide 50 by the 5 weeks you geat 10. So there is ten dollars a week going into the bank account.

••••••••••••••••••••••••••••••

Answers

Answer:

D. 7

Step-by-step explanation:

substitute -1 everywhere there is an x

5-2(-1)  multiply

5-(-2) add

7

WILL GIVE BRAINLIEST PLS HELP!!!!! - Which expression represents a cube root of –8?

Answers

Answer:

A

Step-by-step explanation:

Answer:

C or 2(cos(pi/3)+i sin (pi/3))

Aaron spent $35 to buy some new baseball
cards. Each pack of cards cost the same whole
dollar amount. How many packs of cards
could he have bought?

Answers

Answer:

He can buy 7 packs or 5 packs it depends on how each costs seperately.

Step-by-step explanation:

If each pack costs 5 dollars then he can buy 7.

If each pack costs 7 dollars then he can buy 5.

Factor using grouping: x³+ 3x² + 5x = 15

Answers

X= 1.288 or just 1.29 is the correct answer. When you factor, set each factor equal to zero.
1. Move all terms to one side of the equation, usually the left, using addition or subtraction.
2. Factor the equation completely.
3. Set each factor equal to zero, and solve.
4. List each solution from Step 3 as a solution to the original equation.

the questions on a multiple-choice test each have 4 answer choices. Describe a model that you could use to simulate the outcome of guessing the correct answer to a 100 questioned test

Answers

Answer:

2

Step-by-step explanation: because u have to divide the 4 100 than the ratio 25% it would give u 2

Give the domain and range.

a. domain: {-2, 0, 2), range: {4, 6, 8}
b. domain: {0, 2), range: {6, 8}
c. domain: {4, 6, 8), range: (-2, 0, 2}
d. domain: {6, 8), range: {0, 2}​

Answers

Answer:

a no is correct answer of the question

I need help with this practice sheet
I'm confused with this​

Answers

End behavior is when the graph goes left or right, does it go up or down.

In this graph, when it goes left it goes up, and when the graph goes right it goes down

as x => - infinity, f(x) => Infinity

as x => Infinity, f(x) => - infinity

The leading coefficient is negative.

The degree is even.

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