Given a set of data with mean of 12 and variance of 84. When each of the data is added with p and multiply with q, the new mean is 51 and the new variance is 756. Find the value of p and of q.​

Answers

Answer 1

Applying statistical concepts, it is found that the values are:

p = -11.37q = 81

When a constant is added to each data in a variable:

The mean is incremented by this constant.The variance remains constant.

When a constant is multiplied to each data in a variable:

The mean is multiplied by this constant.The variance is multiplied by the square of this constant

Hence, mean of 12, added with p and multiplied with q, for a mean of 51:

[tex](12 + p)q = 51[/tex]

Variance of 84, after the operations, 756:

[tex]84\sqrt{q} =756[/tex]

[tex]\sqrt{q} = \frac{756}{84}[/tex]

[tex]\sqrt{q} = 9[/tex]

[tex](\sqrt{q})^2 = 9^2[/tex]

[tex]q = 81[/tex]

For p:

[tex](12 + p)q = 51[/tex]

[tex](12 + p)81 = 51[/tex]

[tex]12 + p = \frac{51}{81}[/tex]

[tex]12 + p = 0.63[/tex]

[tex]p = -11.37[/tex]

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Related Questions

Sophia puts $450 in an account earning 7% simple interest annually. How many dollars will she
wave in her account after 4 years?

Answers

Answer:

Sophia will have $576 in her account after 4 years.

Step-by-step explanation:

450 × 0.07 = 31.50

31.50 × 4 = 126

450 + 126 = 576

Due to pandemic, many children dropped out from a school. Number of students in that school before the pandemic was 2450. After the pandemic it is reduced to 15 %. How many students are there in the school now?

HELP PLSSS

Answers

Well 15% of 2450 is 367.5 so 2450-367.5= 2082.5
Since you can’t have half a student we round it up
There are 2083 students now.

Find the m∠NMO. Show your work in the scratchpad.

Answers

An isosceles triangle is one which has two equal sides and angles. Therefore, the measure of <NMO required in the given question is [tex]20^{o}[/tex].

An isosceles triangle is a type of triangle which has two equal sides, thus angles.

So that comparing the triangles in the given question, we have:

i. ΔNMQ, ΔMPQ, ΔOPM, and ΔNMO are all isosceles triangles.

Thus;

<MQN = <MNQ = [tex]60^{o}[/tex] (isosceles triangle base angle property)

So that;

<QMN = [tex]180^{o}[/tex] - (<MQN + <MNQ)

           = [tex]180^{o}[/tex] - [tex]120^{o}[/tex]

<QMN = [tex]60^{o}[/tex]

ii. In triangle MOP, we have;

<MPO = <MOP = [tex]80^{o}[/tex] (base angle property of isosceles triangle)

Then,

<PMO = [tex]180^{o}[/tex] - ([tex]80^{o}[/tex] +

        = [tex]180^{o}[/tex] - [tex]160^{o}[/tex])

<PMO = [tex]20^{o}[/tex]

But,

<QMP + <NMO = ([tex]60^{o}[/tex] - [tex]20^{o}[/tex])

                         = [tex]40^{o}[/tex]

Since <QMP = <NMO, then;

m<NMO = [tex]\frac{40^{o} }{2}[/tex]

              = [tex]20^{o}[/tex]

Thus, the measure of <NMO is [tex]20^{o}[/tex].

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NO FILES OR LINKS MUST KNOW ANSWER ASAP

Answers

Answer:

The answer is 106.90in

Step-by-step explanation:

plz tell me if it right

z=5x-y solve for x plz help

Answers

Answer:

z+y/5=x or z/5 + y/5 = x

Step-by-step explanation:

z=5x-y

add y to both sides

z+y=5x

divide both sides by 5

z+y/5=x or z/5 + y/5 = x

What is 7-18+20+0-322+1000=

Answers

Answer:

687

Step-by-step explanation:

I know this is a joke but I'll help you out anyway.

7 - 18 = (-11)

(-11) + 20 = 9

9 + 0 = 9

9 - 322 = -313

-313 + 1000 = 687

Therefore, your answer is 687.

Hope I helped, and a Brainliest is always appreciated! ☺

job a, $15/hour, job b, $12/hour, how many hours at each job to earn $360

Answers

Answer:

Job A, will take 24 hours and Job B, will take 30 hours

Step-by-step explanation:

12 X 30 = 360 and 15 X 24 = 360

Answer:

15x24=360

12x30=360

If you have a 15/hour job and want 360$ in one day or week you will have to work 24 hours.

If you have a 12/hour job and want 360$ in one day or week you will have to work 30 hours.

Step-by-step explanation:

Hope this helps

Which list shows all the factors of 36?
1, 2, 3, 4, 6, 9, 12, 18, 36
1, 2, 3, 4, 8, 9, 12, 18, 36
2,3,4,6, 9, 12, 18
2, 4, 6, 8, 9, 12, 18

Answers

Answer:

1,2,3,4,6,9,12,18,36

Step-by-step explanation:

The factors of 36 are 1,2,3,4,6,9,12,18,36

4 Zahara rides with her dad to her grandmother's house. They travel 159 miles

in 3 hours. Her uncle, Jorge, drives there separately from his home.

a. At what speed does Zahara's dad drive, in miles per hour?

Answers

Based on the distance they covered in the time they did, we can infer that Zahara's dad was driving at 53 miles per hour.

To find the speed, the following formula is used:

= Distance / Time

They travelled 159 miles in 3 hours.

Distance = 159 miles

Time = 3 hours

The speed must be:

= 159/3

= 53 miles per hour

In conclusion, he was going at 53 miles per hour.

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What is the value of x in the equation:

−416x=−115

Answers

Everything is explained in the image

What is the equation of the line that has a slope of -4 and passes through (2, -3)

Answers

Answer:

y+3 = -4(x-2)

Step-by-step explanation:

We can use point slope form since we are given a point on the line and a slope,

Point slope form is

(y-y1) = m(x-x1) where m is the slope and (x1,y1) is a point on the line

(y- -3) = -4(x-2)

y+3 = -4(x-2)

A recipe calls for 3 tsp. vanilla to 5 tsp. of sugar. Bob
increases the recipe to 12 tsp. of vanilla and 20 tsp. of sugar.

Answers

Answer:

im pretty sure its equivalent

Step-by-step explanation:

for 3/5 you would do 3*6 which equals 12

and for 5 you would do 5*4 which equals 20

and 3/5 is equivalent to 12/20

I might be wrong tho

your welcome :)

There’s nothing here to show what question we need to answer but the new recipe is 4 times larger than the original recipe.

4(3)=12
4(5)=20

Which number lines have points that represent additive inverses? Check all that apply
pls hurry

Answers

Answer:

B andD

Step-by-step explanation:

hope thisgives you the right answer

ben is a server at an all you can eat sushi restaurant. At one table, the customers ordered 2 child buffets and 2 adult buffets, which cost a total of $64. At another table, the customers ordered 2 child buffets and 1 adult buffet, paying a total of $44. How much does the buffet costfor each child and adult.

write and solve a system of equations to solve. Be sure to define your variables ​

Answers

Answer:

Step-by-step explanation:

fill in the blank to make the two fractions equivalent. 7/9 = ?/27​

Answers

Answer: 21

Step-by-step explanation:

To find the missing number you set the two equations as a proportion:

[tex]\frac{7}{9} = \frac{x}{27}[/tex]

To solve for x we cross multiply:

27 × 7 = 189

9 × x = 9x

Set up an equation:

9x = 189

Divide both sides by 9:

x = 21

Original price: $12.99
New price: $9.17

What is the percentage decrease?

Answers

Step-by-step explanation:

decrease=(12.99-9.17)/12.99 ×100 =29.41%

Question is in the picture

Answers

Answer:

i think its b try it for sure?

HELP I NEED HELPP! Evaluate the expression for the given values.

8x+2yz, where x=12, y = 4, and z = 2

Enter your answer in the box.

Answers

Answer:

When x = 12, y = 4, and z = 2, 8x + 2yz = 112.

Step-by-step explanation:

8x + 2yz

Substitute variables given:

x = 12

y = 4

z = 2

8(12) + 2(4)(2)

Multiply 8 and 12.

96 + 2(4)(2)

Multiply 2 and 4.

96 + 8(2)

Multiply 8 and 2.

96 + 16

Add 96 and 16.

112.

Answer:

[tex] = > 8(12) + 2(4)(2)[/tex]

[tex] = > 96 + 8(2)[/tex]

[tex] = > 96 + 16[/tex]

[tex] = > 112[/tex]

what is 2+2, 1+1, and 4+4?

Answers

Answer:

4, 2, 8

Step-by-step explanation:

write one-half the difference of a number and six is greater than or equal to fifteen less than twice the number as an algebraic expression

Answers

Answer:

(n-6)/2 ≥ 2n-15

Step-by-step explanation:

(n-6)/2 ≥ 2n-15

PLS HELP WILL MARK BRAINLIEST

Answers

The image will explain everything

[tex]\sf \longmapsto7x^2+6xy−y^2[/tex]

Put the values

[tex]\sf \longmapsto7( {2}^{2} )+(6)(2)(−1)−(−1) {}^{2} [/tex]

Solving Further

[tex]\sf \longmapsto(7)(4)+(6)(2)(−1)−(−1) {}^{2} [/tex]

[tex]\sf \longmapsto28+(6)(2)(−1)−(−1) {}^{2} [/tex]

[tex]\sf \longmapsto28+(12)(−1)−(−1) {}^{2} [/tex]

[tex]\sf \longmapsto28+−12−(−1) {}^{2} [/tex]

[tex]\sf \longmapsto16−(−1)²[/tex]

[tex]\sf \longmapsto16−1[/tex]

[tex]\sf \longmapsto15[/tex]

2 1/3 - 1 3/11 how to subtract fraction

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The answer is: -7/3

Tell me if you want me to show process steps!!

Lisa Purchased almonds for $3.50 per pound. She spent a total of $24.50. how many pounds of almond did she purchase?

Show and Explain Your Work

Answers

Answer:

7 pounds of almond

Step-by-step explanation:

It is $3.50 per pound.

If she spent a total of $24.50, just divide 24.50 by 3.50

[tex]\frac{24.50}{3.50}[/tex] = 7

We can verify this by multiplying 3.50 by 7 which gives us 24.50

You upload photos and videos to a social media website. The ratio of photos to videos is 20:1. You upload 3 videos. How many photos do you upload?

Answers

Answer:

60

Step-by-step explanation:

You upload 20 photos per video.

If you upload 3 videos, you also upload 60 photos.

Miranda lives 8 blocks south of her school. She decides to visit a friend who lives even farther south. She walks south 1 block per minute. Write an equation that shows the relationship between the number of minutes Miranda has been walking, x, and the number of blocks south of school she is, y. y =​

Answers

We want to write an function that relates the number of blocks south of school that she is to the number of minutes that she has been walking.

The function is: y = (1 block/minute)*x + 8 blocks

A general linear function is:

y = a*x + b

where a is the slope and b is the y-intercept.

First, we do know that she lives 8 blocks south of her school, so the y-intercept of the linear function will be 8 blocks (the point where she starts).

Now we know that her friend lives farther south, so she moves south, at a velocity of 1 block per minute.

Then the linear function is:

y = (1 block/minute)*x + 8 blocks

If you want to learn more, you can read:

https://brainly.com/question/20286983

Slope escape room I need help finding the answer

Answers

Answer:

ECHA

Step-by-step explanation:

1. slope = 1/2

2. slope = 4/2 = 2

3. slope = -1/2

4. slope = -2

Plsssss help plsssss

Answers

Answer:

Each get 1 and a half of a cupcake

Step-by-step explanation:

aneke and her parents has dinner after favorite restaurant. Dinner bill was $50 and her parents tip their server 20% of the bill how much did her parents leave as a tip?

Answers

Answer:

Step-by-step explanation:50/20= $2.05

Answer:

they tiped $10

Step-by-step explanation:

10% = $5

20% = $10

The expression 0.65p is an expression that represents 35% off a cell phone (p).

Answers

I just don’t know how much it would cost me so confused about what you said to

Sophie measured a line to be 16.6 inches long. If the actual length of the line is 15.5 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Answers

Answer:

the difference between the exact value and the approximate value of a quantity, divided by the exact value and then multiplied by 100

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