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.

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Related Questions

Isabel wants to start saving more money so that she can purchase new clothes for college. She has $200 and will add $5 to her savings every day.

Which equation models Isabel's savings, where n represents each day?

Answers

Answer:

y = 5n + 200

Step-by-step explanation:

y = mx + b

$5 will be added every day, so 5 is the m and n is the x.

$200 is an extra cost that doesn't repeat, so it's the b.


12. A company advertises on a website. A worker tracked the number of visits to the
website and the number of clicks on the advertisement. The table shows the data
for several days. A linear function can be used to model the data.
Website Advertisement
Number of Visits
to Website, X
Number of Clicks
on Advertisement, y
14
153
629
38
471
30
914
53
307
21
1,045
60
510
32
1,106
63
Based on the table, what is the best prediction of the number of clicks on the
advertisement if 1,500 people visit the website?

Answers

Answer:

The answer is 83

Step-by-step explanation:

It's a build up of a continental slope

Im in 8th grade and hope this helped

(sec(π/3) + tan(-7π/4))/(1-cos(2 π/3))

Answers

Answer:

3

Step-by-step explanation:

3+3_3=3

after that 3+2+6+7+7+8+8+9+9+9+9+9+0+0+8+6+5+4+ 5=?

u will do the answer and it will be done

answer: 2

explanation: Use the trigonometric values table or unit circle to calculate the expression, then Calculate the trigonometric value and then Calculate the product

7 (x+y) - 7 x with all the steps plz

Answers

Answer:

7y

Step-by-step explanation:

7x+7y-7x=0+7y=7y

Answer:

7y

Step-by-step explanation:

7(x+y)-7x  - Distribute 7 through the peretheses

7x+7y-7x  - since two opposites add up to 0, remove them from the             expression

= 7y

Please answer this correctly without making mistakes

Answers

Answer:

$25-$9.9

Step-by-step explanation:

45/100

0.45*$25

$9.9

$25-$9.9

it cost 14.1

If you guess what my name is you get brainliest
A. John
B. Cam
C. Daniel
D. Dickface
E. Seth
F. Taylor
G. Anna.
H. Beth
I. Nerd face.

Answers

Answer:

Taylor???????????........

Answer:

I. Nerd Face

Step-by-step explanation:

7 c = ___qt??????????????

Answers

Answer:

1.75qt

Step-by-step explanation:

Answer:

The basketball travels in a parabolic route in order to engage in the passage through the net.

Step-by-step explanation:

Solve for M in the formula S= C+M.
A. M= S+ C
B. M= S - C
C. M= SC
D. M= s/c

Answers

Answer:

im pretty sure its a

Step-by-step explanation:

Can someone please help me with this I think I got it wrong ill give brainliest

Answers

Answer:

Yes, you are correct because the curve rests on 3 on the x-axis

you’re correct. there is only one solution for x because the parable only touches the x-axis once at (3,0)

-4= d+3/5

Please help this makes no sense to me

Answers

d= -23/5 mixed number d= -4 3/5

help meeeeeeeeeeeeee​

Answers

Answer:

16

Step-by-step explanation:

Answer: 16

Step-by-step explanation: If we are relating the flour to the cookies it would simply be 48/3. It takes 3 cups of flour to make 48 cookies, so we know that each cup provides 16 cookies.

What additional information can be included in the figure showing kite ABCD with
diagonals AC and D?
A) _B= 20
B) is a perpendicular bisector of
C) 21+ m_C = 180°
OD C = 30

Answers

Given:

In ABCD, AB=BC, AD=CD.

To find:

The additional information that can be included in the figure showing kite ABCD with  diagonals AC and BD.

Solution:

We know that, a quadrilateral is a kite if,

1. Two pairs of congruent sides which are adjacent to each other.

2. One diagonal is perpendicular bisector of other.

From the given information, we have two pairs of consecutive congruent sides AB=BC and AD=CD.

ABCD is a kite if it holds the second property, i.e., one diagonal is perpendicular bisector of other.

So, the required additional information is "segment BD is perpendicular bisector of segment AC".

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

BD is a perpendicular bisector of AC

(7+ 1 4) + 6 = 7 ( ■ + 1 6)

Answers

The answer for this is 4.

6) Determine if the two figures are similar. Present an informal argument to present
as to why they are or are not similar.
Step 1
Step 2
Step 3

Answers

Answer:

yes they are similar

step 1: flip it across the y-axis

step 2: translate it 4 units to the right and 5 units down

step 3: dilate it by a factor of 1/2

Step-by-step explanation:

Which of the following numerical expressions results in a negative number?
A.
(−18)÷(−3)
B.
(−57)+(−60)
C.
(−18)−(−20)
D.
(−4)×(−5)

Answers

B because the other ones are just wrong because when you solve them, you get positive numbers

"Only one remains." Ryan signals to his brother from his hiding place.
Matt nods in acknowledgement, spotting the last evil robot.

"34 degrees." Matt signals back, informing Ryan of the angle he observed between Ryan and the robot.

Ryan records this value on his diagram (shown below) and performs a calculation. Calibrating his laser cannon to the correct distance, he stands, aims, and fires.

To what distance did Ryan calibrate his laser cannon?
Do not round during your calculations. Round your final answer to the nearest meter.

Answers

Answer:

168 m

Step-by-step explanation:

Joe mowed 1 1/2 lanws

Answers

Answer:

3 3/5 lawns

Step-by-step explanation:

First you have to figure out how much of a lawn he mows in 1 hour. He mows 0.6 of a lawn in one hour.

Next, you multiply 0.6 by 6 to get your answer.

Your answer is 3 3/5 lawns.

Answer:

4

Step-by-step explanation:

9 = 40 + 13
Helpppppp I need it due today

Answers

Its is equal to 9x6=53 Goodluck

What is MR? Explain.

Answers

Answer:

MR is 20 because if the side lengths that are shown are congruent, then the bottoms are too. so each part of the bottom that has a number, that number repeats on the part that's part of that triangle. so the bottom lengths go           " 4 6 6 4" and you add those together and get 20

24) 30 people are running a 5k. How many different ways can the runners finish in 1st, 2nd, and
3rd place?

Answers

Answer:

90 different ways

Step-by-step explanation:

30 people can finish first, 30 people can finish 2nd, 30 people can finish 3rd. Ends up being 90 different outcomes.

Question in picture below will give brainly

Answers

Answer:

right ^_^

Step-by-step explanation:


Helppp asappp I need help with 4

Answers

Answer:

Step-by-step explanation:

1. Write the equation in point slope form. Remember, point slope form looks like this: y-y1=m(x-x1), with m representing slope. With this equation, you plug in the y coordinate for y1 and the x coordinate for x1. So, it will look like this

y+6=2/3(x+5)

2. Then, convert that into slope intercept form, which is y=mx+b.

y+6=2/3x+10/3 (2/3 * 5)

y= 2/3x - 8/3 (10/3 - 6)

Therefore, your slope-intercept form of the equation is: y=2/3x - 8/3

3. From there, you can graph the line. See the graph in the image attached.

abc has two side lengths of 8ft and 19 ft. if angle c is 142 degrees what is the measurement of angle B

Answers

it’s is 242 i think

Consider two bases B = {b1, b2, b3} and C = {c1, c2, c3} for a vector space V such that
b1 = c1 + 3c3, b2 = c1 + 4c2 - c3, and b3 = 5c1 - c2. Suppose vector x = b1 + 6b2 + b3. That is,
suppose space left square bracket bold italic x right square bracket subscript B space equals open square brackets table row 1 row 6 row 1 end table close square brackets . Find space left square bracket bold italic x right square bracket subscript B space, the coordinates of the vector x in basis C.

Answers

I’m a failure if you can just say “yes you are” in the comments

What is 3/8 equal to in decimals..?

Answers

Answer:

.375

Step-by-step explanation:

Answer: 0.375

Step-by-step explanation:

Hey there! If you have any questions feel free to leave them in the comments below.

To find the answer you would divide the numerator by the denominator. [tex]\frac{3}{8}[/tex] would be equal to 0.375

~I hope I helped you :)~

If point C lies between two points A and B such that AC=BC, then

Answers

Answer:

If point C lies between two points A and B such that AC=BC, then point C is the bisector of A and B, that means it is at right the centre.

The circle graph represents the number of teenagers at a high school who play video
games. If 1,938 students go to the school, about how many students play video games?

Please helppppppppp!!!!! :(

Answers

Answer:

the answer is 544

Step-by-step explanation:

i had to figure out how much percent was taking then I added and some subtraction and i got 544

If 1,938 students go to the school, about 1394 students play video games.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given that 1938 students go to school.

And the circle graph represents the number of teenagers at a high school who play video games.

And 259° students out of total angle of circle play video games.

That means 259 percentage of 360,

259 = 360 × percentage of students those play video games of the circle/100

percentage of students those play video games of the circle = 259 x 100 / 360 = 71.94%

And the number of students those play video games is

= 71.94% of 1938

= 1938 x 71.94 / 100

= 1394 students

Therefore, if 1,938 students go to the school, about 1394 students play video games.

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HELP
i need a graph of 10x+6y=150

Answers

Rearrange the equation to get it into slope intercept form:

10x+6y=150

6y=-10x+150

y=-5/3x+25

The slope is -5/3, the y-intercept is 25. Graph below:

Answer:

See below

Step-by-step explanation:

Given

10x + 6y = 150

To graph the line easily, find x-intercept and y-intercept and connect those points with a line, that will be a graph you need.

x-intercept is the coordinate of x when y = 0

10x + 6*0 = 15010x = 150x = 15

y-intercept is the coordinate of y when x = 0

10*0 + 6y = 1506y = 150y = 25

We have now required points:

(0, 25) and (15, 0)

The graph is attached

Right Triangle Trigonometry

Answers

Answer:

B. 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] cos∅ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle = 37°

Adjacent Leg = x

Hypotenuse = 10

Step 2: Solve for x

Substitute [Cosine]:                    cos37° = x/10Isolate x:                                      10cos37° = xRewrite:                                       x = 10cos37°Evaluate:                                     x = 7.98636Round:                                         x ≈ 8

Step-by-step explanation:

please it my steps to work on paper whorksheet

i need the answer asap and if u can give me answer to more questions pls text me

Answers

g = 1

Get variable onto one side of equation and simplify:

3g - 8 = g - 6

2g = 2

g = 1

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