The distribution of random variable r has mean 10 and standard deviation 4. The distribution of random variable s has mean 7 and standard deviation 3. If r and s are independent, what are the mean and standard deviation of the distribution of r−s ?.

Answers

Answer 1

The random variable r has a mean μ = 10 and σ = 4. For the variable s, the μ = 7 and σ = 3. The mean of r-s will be obtained by arithmetic subtraction of the μ for r and a. The standard deviation isn't independent since it's obtained by square root of the variance of a distribution. The standard deviation will be obtained by obtained through the square root of the squared sum of σ.

μ (r-s) = μ(r) -μ(s)

μ (r-s) = 10 -7 = 3

σ (r) -σ(s) = √(σ (r))²+ (σ (s))²

σ (r) -σ(s) = √(4²+ 3²)

σ (r) -σ(s) = √(16+ 9)

σ (r) -σ(s) = √25 = 5

thus, the mean is 3 and the standard deviation is 5.

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Related Questions

Find the missing angle measurements.
79°
75°
56°
80°
85°
55°

Answers

Answer:

Step-by-step explanation:

Answer:

This is the correct answer

Step-by-step explanation:

The cylindrical part of an architectural column has a height of 320 cm and a
diameter of 30 cm. Find the volume of the cylindrical part of the column. Use
3.14 for rand round your answer to the nearest cubic centimeter if needed.
30 cm
320 cm
A. 904,320 cm3
B. 226,080 cm3
C. 75,360 cm3
D. 72,000 cm3

Answers

Answer:

226,080 cm3

Step-by-step explanation:

Answer:

226, 080- (B)

Step-by-step explanation:

Ap3x

Help please your guys are smart

Answers

the equation would be y=mx+b. m is your slope and b is your y intercept. the y intercept (where the line hits on the y axis) is 1 in this graph. the slope is how many times it goes up or down/how many times it goes right or left. the slope is -1/2. so, your final answer would be (y=-1/2+1) when u plug those in.

GOT THESE FREAKING WORD PROBLEMS MAN I SUCK AT THESE THINGS PLS HELPPPPPPPP!!!! THERES MORE AFTER THIS TOOO!!!!!!!

Answers

Answer:

11. 1st option

12. 2nd option

Step-by-step explanation:

Can you help me pls with this one :/

Answers

Answer: Angle BEC is also 45 degrees.

Step-by-step explanation: This is because the opposite and congruent angle of BEC is 45 degrees. Congruent means the same. Therefore, Angle BEC is 45 degrees.

add or subtract the following fractions. write in simplest form.

3/4 - 3/10​

Answers

Answer:

I got 9/20

Hope that helps!

Find the value of x in this picture.

Answers

Answer:

i dont see a pic

Step-by-step explanation:

There is no available picture

I will mark brainlist!

Answers

Answer: D

Step-by-step explanation:

because if you flip it to the right shape you can see what side is similar

to which

Calvin purchased a new office desk on July 23, 2018, at a cost of $2,373. He did not claim the bonus depreciation deduction. Using the half-year convention, Calvin may claim 2018 depreciation in the amount of Calvin purchased a new office desk on July 23, 2018, at a cost of $2,373. He did not claim the bonus depreciation deduction. Using the half-year convention, Calvin may claim 2018 depreciation in the amount of ?

Answers

Answer:

$339

Step-by-step explanation:

Calculation for the amount of Depreciation that Calvin may claim 2018 Using the half-year convention

Based on the information given we were told that he purchased a new office desk at the amount of $2,373 which means that the new office desk using the half-year convention will be a 7 year property.

Hence,

The Standard Depreciation percentage of the new office desk which is a 7 year property is 14.29% based on this the amount of Depreciation that Calvin may claim 2018 Using the half-year convention will be calculated as:

Using this formula

Depreciation=Cost of new office desk* New office Desk Depreciation percentage

Let plug in the formula

Depreciation=$2,373*14.29%

Depreciation=$339

Therefore Using the half-year convention Calvin may claim 2018 depreciation in the amount of $339

Tan's electricity bill for the month of August was $267.00. His September bill decreased 8% from the amount he was billed in August. How
much was Tan's September bill?

Answers

Answer:

245.64

Step-by-step explanation:

His Sept. bill is 92% of August.

$267.00 x .92 = $245.64

Help me with this problem please

Answers

Answer:

the answer is B

Step-by-step explanation:

Need help for this one!

Answers

I THINK IT'S ASA OR SSS ..

A car park space needs 8 square metres for 1 car. just considering the spaces for parking, what dimensions for a car park would be needed for 60 cars

Answers

The dimensions of a car park for 60 cars is: 480 m^2

To solve this exercise we have to do a mathematical operations of multiplication with the given information.

Information about the problem:

car park space = 8 m^2/cardimensions for a car park (60 cars) = ?

To know the dimensions for the car park  of 60 cars we have to do the following multiplication:

dimensions for a car park (60 cars) = car park space * 60 cars

dimensions for a car park (60 cars) = 8 m^2/car * 60 cars

dimensions for a car park (60 cars) = 480 m^2

What is multiplication?

It is a mathematical operation that consists of adding the same number, called the multiplicand, as many times as indicated by another number, called the multiplier. The result is called the product.

Example: 2+2+2= 6 is equal to say 2*3= 6

Multiplied * multiplier = product

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PLEASE HELP ME I NEED THIS ALOT!
1 . Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.
2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.
Please help i'm really stuck on these questions!! :(

Answers

1. Write the equation that represents the data set for Crew A using the variables E for earnings and h for hours.

120e/1h

2. Write the equation that represents the data set for Crew B using the variables E for earnings and h for hours.

105e/1h

Is this relation a function? Justify your answer.
11
10
9
8
7
6
5
4
3
2
1
1 2
4 5
6 7 8 9 10 11
A. Yes, because every x- and y-value is positive.
B. No, because two points with the same y-value have different x-
lues
C. Yes, because every x-value corresponds with a single y-value.
D. Yes, because the number of x-values is the same as the number of
y-values

Answers

Yes, because every x- and y- value is positive, hope it helps!
The answer is C, not A.

HELP HELP HELP HELP HELP HELP PLEASE!!

Answers

Answer:

A

Step-by-step explanation:

I took the test


20 POINTS NEED HELP ASAP WILL MARK BRAINLIST




Find f(3) for f(x) = -5x – 2


Answers

Answer:

-17

Step-by-step explanation:

F(3) find f(x) = -5x - 2

As u can see instead of x inside the parentheses it's a 3, meaning we have to replace x with 3 in the equation

f(3) = -5x - 2

f(3) = -5(3) - 2

f(3) = -15 - 2

f(3) = -17

Q4. One card is drawn at random from a pack of 52 playing cards. Find the probability of choosing a black card between the numbers 5 and 10 (inclusive). A. 3/13 B. 1/13 C. 1/2 D. 4/13​

Answers

Answer: b 1/13

Step-by-step explanation: SolutionTotal cards: 52Number of face card: 12

Probability of getting a face card:

P(F)=12/52 = 3/13

​Probability of not getting a face card:

P(F ′ )=1−P(F)=1− 1/13 = 10/13

When paying for a restaurant order, a customer's total for food was $28.50. What is a 16% tip for that total?

Answers

Answer:

33.06

Step-by-step explanation:

you would do 28.5*0.16 and you would get 4.56 ss you would add that to the cost and you would get 33.06

Write an expression that represents the total owed for 6 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $50? 6(c) + 50 6(c + 50) 2(50) + c 50c + 6

Answers

The expression which represents the total owed for 6 months of a cable according to the description as in the task content is; 6(c) +50.

What is the expression that represents the total owed for 6 months?

According to the task content; the expression that represents the total owed for 6 months of cable at a price of c dollars for each month, plus a one-time equipment fee of $50 is to be determined.

Hence, since the one-time equipment fee is; 50$ and it costs c dollars per month, the total cost for all six months is;

= (6×c) + 50

= 6(c) +50.

Read more on expressions;

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Answer both and ill give brainiest please my parents hurt me for bad grades

Answers

Answer:

1. 8xc=360t . 2. The cost of burritos is 50 and tacos is 150.

Step-by-step explanation:

Use the distance formula to find the distance between
(-5, 6) and (8,4). Round to the nearest tenth if
necessary.

Answers

Answer:

             13.2

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\(-5,6)\quad\implies\quad x_1=-5\,,\ y_1=6\\\\(8,4)\quad\implies\quad x_2=8\,,\ y_2=4\\\\\\d=\sqrt{(8+5)^2+(4-6)^2}= \sqrt{13^2+(-2)^2}=\sqrt{169+4}=\sqrt{173}\approx13.2[/tex]

PLEASE I NEED HELP FOR THIS TEST

Simplify the difference. Write your answer in standard form.
2) (8r - 4r + 8) - (5r - 8 + 7r")
A) -24r + 3r + 16
B) 3r + 13r + 16
C) -11p+ 3r + 16
D) -317 + 3r + 16

Answers

Answer:

- 11r³ + 3r + 16

Step-by-step explanation:

( 8r - 4r³ + 8 ) - ( 5r - 8 + 7r³ ) =

= 8r - 4r³ + 8 - 5r + 8 - 7r³ =

= - 11r³ + 3r + 16

there are 20% more goblins than wizards in magic club there are 120 goblins in magic club

Answers

Answer:

Final Answer: There are 100 wizards in the magic club

Step-by-step explanation:

Since this question is asking for how many wizards are in magic club, we can represent wizards with the variable "w"

w = wizards

Next, we know that there are 120 goblins and that there are 20% more goblins than wizards in magic club.

120 = w + 20%w

120 = w + 0.2w

(percentages are just the percent/100)

120 = 1.2w

1200 = 12w

100 = w

FILL IN THE BLANKS: The solution to a system of equations is where two
lines
A system can be solved by graphing, substitution, or
If two lines are
there will be no solution. If the
two lines are the same, they will have solutions. *
.
O intersect...solving....intersecting...two
O intersect... elimination...parallel...infinite
O intersect...slope...parallel..infinite
O intersect...elimination...perpendicular...one

Answers

the answer should be the second option (intersect, elimination, parallel, infinite) hope this helps you

Can someone answer my English question, please :/ I will mark you brainliest

Answers

Yeh what is it do you have any questions I can help you with

Answer:

Step-by-step explanation:

Find the value of “X”

Answers

Answer:

x = 55

Step-by-step explanation:

A triangle equals 180 degrees, b will be used to find the missing angle.

21 + 34 + b = 180

55 + b = 180

subtract 55 from both sides

b = 125

A straight line is 180 degrees and the b, the missing angle, and x are supplementary angles so

125 + x = 180

x = 55

Will mark brainliest for whoever answers

Answers

Answer:

D

Step-by-step explanation:

Correlation coefficient is the leading coefficient of the line of best fit. We can estimate the slope by looking at the plots. The plots are moving in a positive slope so we can remove B and C and E.

We're left with slope of 1 and 0.5

We can faintly imagine the line of slope 1. It doesn't really fit. SO it is 0.5

Find the redies and diameter of a circle with a circumference of 24 min

Answers

Step-by-step explanation:

I assume you mean radius.

Circumference of a circle=2πr

24=2πr(transpose for r)

r=24/2π=3.8197≈4

Diameter=2r

=2×4=8

Last year Lucy made $87.32 house-sitting for a neighbor and $82.29 mowing lawns. How much money did she earn in all?

Answers

Answer:

$169.61

Step-by-step explanation:

X = 87.32 + 82.29

X = 169.61

Answer:

$169.61

Step-by-step explanation:

87.32+82.29=169.61

need brainlyest plz

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