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:

https://brainly.com/question/23907081

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Related Questions

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Answer:

After using the coupon the price of the shirt would be $14.80

Step-by-step explanation:

To take the 20% off you subtract 20 from 100 because its 20% off. which is 80 then multiply the price by 0.80

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Answer:

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Step-by-step explanation:

12*3       36

____ =____

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Answer:

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Step-by-step explanation:

I dont have graph paper, but the B part is Y intercept. That Means that the 2nd number is where the line intercepts with Y axis. The Y axis for  1 is Y=-1, with no slope meaning its a straight line with no slope. It just goes through -1 on Y axis horizontally. On number one for the second equation, 2 is the Y intercept for the other line, and the line has a rise and run of 3/1, meaning it goes up 3 on the positive side of the x axis, and it goes to the side one. Hope this made a little sense. I learned this a few weeks ago in my algebra class.

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Answer:

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Step-by-step explanation:

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I think it might be c correct me if I am right.

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Answers

Answer:

The zero is x = 3/2 = 1.5

Step-by-step explanation:

We recognize that the trinomial  4 x^2 - 12 x + 9 is a perfect square trinomial, which comes from the following squared binomial:

(2 x - 3)^2

Therefore, the zeros are the x-values that verify the following:

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Answer:

X∈[tex]\frac{5}{63}, -\frac{23}{63}[/tex]

Step-by-step explanation:

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Answer:

1.55 = Toni(2)

1.56 = Morgan(1)

1.53 = Pat (3)

Step-by-step explanation:

Is it most to least because that is what i did?

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Answers

Answer:

thanks im not smart

Step-by-step explanation:

sn i knew that...

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Answers

Answer:

C (Lake Depth Answer)

Step-by-step explanation:

Here we want to find the math that ends up with 0.

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That's -4$ total, not 0.

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For parts (b) and (c), type each answer in the box below.
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C. Explain why zero is its own opposite number.

Answers

C because yes yessssss

4x + y = 0
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Answers

The y intercept is 4.14

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X/2-3=9

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Answer:

pretty sure it's

2

3

=

9

\frac{X}{2}-3=9

2X−3=9

2

3

+

3

=

9

+

3

Which expression is equivalent to (-7-4i)(6+7i)?

Answers

Answer:

Step-by-step explanation:

-14 - 73 i

Answer:

-28i^2-73i-42

Step-by-step explanation:

(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)

= −42−49i−24i−28i^2

= -28i^2-73i-42

you have 10 eggs you crack 2 cook 2 and eat 2 how many eggs do you have left?

Answers

Answer:

Wouldn't it be 8?

Step-by-step explanation:

You crack 2 eggs and cook them, then eat them. If we cracked 2 eggs, cooked 2 different eggs, and ate 2 different eggs, that doesn't make sense.

Answer:

8

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the answer will be 2.5 hope that helps you

Answer:

2.5 or in other terms 2 1/2

Step-by-step explanation:

8p+3=5p+9

Please solve with work I’ve gotten it wrong 9 times

Answers

8p+3=5p+9
13p=12
p=.92

p= 2

Step-by-step explanation:

1. subtract 3 from 3 and 9

2. subract 5p from 8p and 5p

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5. 6/3 is 2 so 2 =p

Given the formula A = P(1 + )". compute A (rounded to two decimal places) if P = 10,000,7
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D 129,600.00
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Answers

Answer:

A = 16010.32

Step-by-step explanation:

Given that,

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At a little known Vacation Spot, Taxi fares are a bargain a 48 mile taxi ride takes 54 minutes and costs 43.20 you want to find the cost of a 25 mile taxi ride what unit Price do you need

Answers

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Answers

Answer: D and E

Step-by-step explanation:

The x and y-values in the 3rd quadrant are both negative.

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Answers

Answer:

84

Step-by-step explanation:

You need to figure out 7 times what gets you 42

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then you do the same for 14

14 x 6 = 84

sorry if this wasn't a good explanation

A typical tip in a restaurant is​ 15% of the total bill. If the bill is ​$100​, what would the typical tip​ be

Answers

Answer:

15 dollars

Step-by-step explanation:

Total Bill = Cost of the Meal + tip

Total Bill = 100 + 15/100 * 100

Total Bill = 115

So the tip is 15 dollars.

Let t= the amount Thomas earned. Thomas earned $ 49 or more

Answers

I can’t do signs
The equation would be:
t is less than or equal to 49

HELLLLPPPP MEEE PLEASE AND THANK YOU

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Step-by-step explanation:

180° = m<A + m<B + m<C

180° = 45° +60° + m<C

180° = 105° + m<C

m<C = 180° - 105 °

m<C = 75°

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Answers

9/8 that’s what I got but you can reduce it


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Answers

the answer to your problem is 60=x

What is the value of the expression below 64 5/6

Answers

Answer:

[tex]64\dfrac{5}{6}=\dfrac{389}{6}[/tex]

Step-by-step explanation:

We need to find the value of the expression :

[tex]64\dfrac{5}{6}[/tex]

It is in the form of a mixed fraction. We can simplify it as follows :

[tex]64\dfrac{5}{6}=\dfrac{64\times 6+5}{6}\\\\=\dfrac{389}{6}[/tex]

Hence, the value of the given expression is [tex]\dfrac{389}{6}[/tex].

Answer:

32

Step-by-step explanation:

Apply the distributive property to: 3(u+6)

Answers

Answer:

3u + 18

Step-by-step explanation:

times the 3 to both

Answer:

turn it into 3u+18

Step-by-step explanation:

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola 40 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 39.2 milligrams. Assume the population is normally distributed with a standard deviation of 7.5 milligrams. At α=0.01, can you reject the company’s claim

Answers

Answer:

Claim cannot be rejected

Step-by-step explanation:

We solve this by using hypothesis testing

H0: mean = 40

H1: mean ≠ 40

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T score = 39.2-40/(7.5/√30)

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Degree of freedom = 30-1 = 29

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Answers

Answer:

not sure if this is correct but is it 3??

Step-by-step explanation:

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