1. The values, x in a sample of 15 are summarized as follows
Σ(x-c) = 72,Σ(x-c)2 = 499.6
where c is a constant. Given that the sample mean is 104.8.
(a) Find the value of constant c.
(b) Find the variance of x.​

Answers

Answer 1

Answer:

(a) 100

(b) 10.27

Step-by-step explanation:

We are given  

No of elements = 15  

Σ(x-c) = 72,Σ(x-c)^2 = 499.6

,where c is a constant

and the sample mean is 104.8.

(a)  lets take into account Σ(x-c) = 72

this means that we have the sum of the 15 elements of x and each element of x is subtracted by the constant c

so the equation becomes Σxi -15c = 72, ............(1)

where xi means the sum of the elements of x from 1 to 15.

we are given the mean as 104.8

this means that Σxi/15 = 104.8

Σxi = 15*104.8 = 1572 .............(2)

substituting (2) in (1)

we get  

1572 - 15c = 72  

15c = 1500  

c = 100

(b) We will use the property that variance does not change when a constant value is added or subtracted to the elements. This we can observe in the given equation that c is a constant that has the value of 100.

so the variance is  

σ^2 = Σ(x-c)^2/15  - (Σ(x-c)/15 )^2

      = 499.6/15  - (72/15)^2

      = 33.31 - 23.04

   σ^2   = 10.27

Therefore the variance of the given problem is 10.27.


Related Questions

There are about 23 Hershey kisses in an 11-ounce bag of candy. Write and solve a proportion
that you can use to find the number of Hershey kisses in a 5-ounce bag.

Answers

Answer:

about 10 hershy kisses

Step-by-step explanation:

Sorry If wrong :(

Solve the inequality.
2x-5<9
The solution is:

Answers

Answer:

x < 7

Step-by-step explanation:

Given

2x - 5 < 9 ( add 5 to both sides )

2x < 14 ( divide both sides by 2 )

x < 7

Please answer this for me ASAP

Which number is nearest in value to 7508.
A. 5,706
B. 6,993
C. 8,108
D. 8,522
E. 1,050

Answers

Step-by-step explanation:

Let's find the difference between 7508 and the other numbers.

A. 5706 - 7508 = -1802

B. 6993 - 7508 = -515

C. 8108 - 7508 = 600

D. 8522 - 7508 = 1014

E. 1050 - 7508 = -6458

If we do not take +ve / -ve into account,

the closest number to 7508 = the smallest difference

which in this case, is B, 6993.

Answer:

B. 6993

Step-by-step explanation:

hope this helps :)

What are the angles in degreees

Answers

Answer: A is 70 B is 45 and C is 50

Step-by-step explanation:

Which of these is an example of a continuous random variable?
O A. Number of breaths in a minute
O B. Number of employees at a company
O C. Scores in a bowling tournament
D. Length of a fish

Answers

Answer:

D Length of  F I S H

Step-by-step explanation:

I chose the bowling one and got it wrong, but you can have the right answer

Answer: length of a fish

Step-by-step explanation: quizzzz

PLEASE HELP I HAVE TO TURN THIS IN IN 1 HOUR!

A round clock on a classroom wall has a diameter of 12 inches. What is the approximate area of the clock?
A. 38 square inches
B. 113 square inches
C. 226 square inches
D. 452 square inches

NO SPAMMING OR LINKS THEY WILL BE REPORTED!

Answers

A. 38
A=pi x d
Hope it helps

What is the area of this

Answers

Answer:

area of trapezoid = 1/2×(a+b)×height

area of trapezoid =1/2×(15m+7m)×7m

area of trapezoid =1/2×22m×7

area of trapezoid =77m²

area of trapezoid =1/2×(a+b)×height

area of trapezoid =1/2×(9ft+12ft)×4ft

area of trapezoid =1/2×21ft×4ft

area of trapezoid =42ft²

Thomas has finished 50% of an art project that has taken him a total of 9 hours so far. If he continues to work at the same rate, how many hours will it take for him to complete the entire project?

Answers

Answer:

18 hours

Step-by-step explanation:

9/0.50 = 18 hours

Thomas 24 hours I think it’s that

The sum of two numbers is 37 . The smaller number is 15 less than the larger number. What are the numbers?

Answers

Answer:

11 and 26

Step-by-step explanation:

x+x-15=37

x+x-15+15=37+15

x+x=52

2x=52

2x÷2=52÷2

x=26

26+26-15=37

37=37

Which of the following answers matches “The quotient of 9 and the sum of the quantities 5 and product of 8 and x.”

Answers

Answer:

I believe this is the answer  9/(5 + 8x)

Pls answer all of them or none of them! Tysm! ​

Answers

Answer:

18. $11

19. $1.40

20. 31

21. 4.05

22. 8.2

23. 31

24. 5.05

25. $14.99 per month

26. 3.7 oz

27. 16 miles ???

28. $6 each

Step-by-step explanation:

Hope that helps. That took a long time sorry. Also I am not a hundred percent sure on 27. If someone else has a different answer just check both

Which table represents a linear function?

Answers

Table one represents a linear function for the given data.

What is a linear function?

A linear function is a mathematical function that can be written in the form:

y = mx + b

where "m" and "b" are constants, and "x" and "y" are variables.

In this form, "m" represents the slope of the line, and "b" represents the y-intercept, the point where the line crosses the y-axis. The slope of the line is the rate of change of the function, representing how much the value of "y" changes for every unit change in "x".

The given table is,

x         y

1         5

2       10

3       15

4       20

5       25

The slope of the given data is,

m = ( 10 - 5 ) / ( 2 - 1 ) = 5

m = ( 15 - 10 ) / ( 3 - 2 ) = 5

m = ( 20 - 15 ) / ( 4 - 3 ) = 5

Here the slope is constant, so the function is linear.

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Un terreno cuadrado tiene una superficie de 900 metros cuadrados. ¿Cuántos metros lineales de alambre se necesitan para cercarlo?

Answers

Respuesta:

120 metros

Explicación paso a paso:

Dado que:

Área del lote cuadrado = 900 m²

Área, A de cuadrado = s²

Donde, s = longitud del lado

s² = 900

Toma el cuadrado de ambos lados

s = raíz cuadrada (900)

s = 30

Se requiere metro lineal de alambre para cercar, el lote será el perímetro del lote cuadrado;

El perímetro del lote cuadrado = 4s

Por eso,

Perímetro del lote cuadrado = 4 * 30

Perímetro del lote cuadrado = 120 m

Question 3 of 10
Which of the following are exterior angles? Check all that apply.
6
DA. 26
B. 24
C. 23
OD. 22
OE. Z1
O F. 25

Answers

Answer:

I believe the answer to be 5 and 4

The exterior angles of the given triangle are angles 4 and 5

What is triangle?

A triangle is a polygon with three sides, angles and vertices.

Given that, a triangle, with angles, 1, 2, 3, 4, 5 we need to find the exterior angles,

An exterior angle of a polygon is the angle that lies outsides of the polygon,

Here, we can see, that only two angles 4 and 5 lies outsides of the triangles

Therefore, the exterior angles are 4 and 5

Hence, the exterior angles of the given triangle are angles 4 and 5

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3.1. Two friends. Ben and Mike, take part in a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39
min 4 sec. How long did Ben wait at the finish line for
Mike?​

Answers

Answer: 15.867 min

Step-by-step explanation:

Given

Ben took [tex]1\ h\ \text{and}\ 23\ min\ 12\ s[/tex] to complete 15 km

While Mike take [tex]1\ hr\ 39\ min\ 4\ s[/tex] to complete the same

converting time into miniutes

Ben time

[tex]\Rightarrow 60+23+\frac{12}{60}=83.2\ min[/tex]

Mike time

[tex]\Rightarrow 60+39+\frac{4}{60}=99.0667\ min[/tex]

So, mike waited for

[tex]\Rightarrow 99.067-83.2=15.867\ min[/tex]

Which ordered pair will be solution for the function y = 12 - x?

(4, 9)
(6, 6)
(2, 14)
(7, 4)


( if u steal my points ill steal yours)

(no links or ill report u and get u band , I am not bluffing)

(also ill give 100 brianlist after if its right)

Answers

Answer:

(6, 6)

Step-by-step explanation:

ordered pair (6, 6) will be solution for the function y = 12 - x.

When x = 6

y = 12 - 6

y = 6

(x, y) = (6, 6)

Answer:

6,6

Step-by-step explanation:

(PLEASE PLEASE HELP)
Find the area of the triangle.

Answers

Answer:

40.2 in²

Step-by-step explanation:

h*b/2

h= 6.7

b= 12

Please help:///. Due today

Answers

Answer:

C: 108 cans

Step-by-step explanation:

just trust me bro

96 cans.

12*3= 36

12*4= 48

6*2= 12

36+48+12= 96

Which is greater? 40 mm or 3 m
and how do I show my work for that?

correct=brainliest

Answers

Answer:

The answer is 1 meter

Step-by-step explanation:

One meter is equal to 1000 mm

Joel says to Kevin, "Give me $100, and I shall become twice as rich as you."

Kevin replies, "Give me $10, and I shall become six times as rich as you."

How many dollars do Joel and Kevin have together?

Answers

DON'T OPEN IT, IT IS EVERYWHERE, IT IS AGAINST BRAINLYS TOS, AND IT IS A VIRUS also
The answer is $310

Lynn is trying to determine how far away Student B is from the balloon. He decides to use the

equation shown below. Is his equation correct? Why or why not?

5

cos 60º =

BIV x

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as the image that illustrates the scenario is not given.

However, I can deduce that the question is about a right-angled triangle.

So, I will give a general explanation on how to find each of the side of the triangle, given a side and an angle.

For triangle A (solve for b)

Using cosine formula.

[tex]\cos \theta = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos 60= \frac{5}{b}[/tex]

Make b the subject

[tex]b= \frac{5}{\cos 60}[/tex]

For triangle B (solve for b)

Using cosine formula.

[tex]\sin \theta = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin 60= \frac{b}{5}[/tex]

Make b the subject

[tex]b = 5\sin 60[/tex]

For triangle C (solve for b)

Using cosine formula.

[tex]\tan \theta = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan 60= \frac{b}{5}[/tex]

Make b the subject

[tex]b = 5\tan 60[/tex]

Answer:

Did you get the answer If so please give it to me.

Step-by-step explanation:

Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing spell restores HHH health points.

Answers

Answer:

Step-by-step explanation:

Answer:

130/100 H  and (3/10 + 1) H

Step-by-step explanation:

Hope this helps!

Guys! Anyone! I need help with this please I'm so confused. The directions say:
Upload a written answer and response to the activity including an explanation of how you arrived at your answer/response (what steps did you take, etc.). This should include a few sentences of narration to explain the math behind your work. Please be sure you address all parts of the question.
But i don;t know where to start. Please someone answer this for me. 100 points i'm giving

Answers

Step-by-step explanation:

Hi,

"To begin, I need to figure out how triangle ABC eventually got to triangle DEF. The first thing I noticed was orientation, the point was not facing the same direction, and right away I knew that there had to be some sort of flip. The triangle ABC was flipped across the y-axis. After that, I also noticed that the triangle was not in the same quadrant. Triangle ABC was in quadrant 2 while triangle DEF was in quadrant 1. So I knew that triangle ABC was translated 2 units down. Even though it looked like the triangle was somehow moved to the right, IT WAS NOT. Since it was flipped, all we had to do was move it 2 units down. That is how I knew that in order for triangle ABC to get to triangle DEF it was flipped and translated 2 units down."

I hope this helps :)

please help find measure of h.Will mark brainlyist to right answer.No link!

Answers

Answer:

∠ H = 59°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

121° is an exterior angle of the triangle, then

6x - 1 + 5x + 12 = 121 , that is

11x + 11 = 121 ( subtract 11 from both sides )

11x = 110 ( divide both sides by 11 )

x = 10

Then

∠ H = 6x - 1 = 6(10) - 1 = 60 - 1 = 59°

Need this answer ASAP the last missing square says “take the square root of both sides”

Answers

Answer:

add 5 to both sides, divide by 2, take square root, subtract 3/4

Step-by-step explanation:

I think you maybe do the reverse order of operations, which is SADMEP (subtract/add, then divide/multiply, then take care of exponents and square roots, then do that same order for whatever's in parenthesis.)

Help me please thanks

Answers

Answer:

64 square cm

Step-by-step explanation:

(I pulled this out of the comments in case someone else needs this answer. Easier to see as an answer than as comments in the app)

Area 2 is easier, so we’ll start with that one. Area of a rectangle is length x width.

8 x 6 = 48 square cm

Area 1 is a triangle, so the formula is 1/2(base)(height). The height of the triangle is 8, because it’s the same as the base of the rectangle. The base of the triangle is 4, because we can subtract the 6 from the rectangle from the total side length of 10. Does that make sense?

So 1/2 (4)(8)= 1/2(32) = 16 square cm

Then we add 16 + 48 = 64 square cm

Maya bought a board game that cost $24. She had to pay a 7 1/2% sales tax. How much change did she get from thirty dollars?

Answers

Answer: $4.20

Step-by-step explanation:

24(.075)=1.80

24+1.80=25.80

30-25.80=4.20

8. Somebody said the answer is letter A. I Don't Know the answer

Which properties of equality justify steps c and f?


A. Addition Property of Equality; Division Property of Equality

B. Multiplication Property of Equality; Division Property of Equality

C. Subtraction Property of Equality; Multiplication Property of Equality

D. Addition Property of Equality; Subtraction Property of Equality

Answers

Answer:

D. Addition Property of Equality; Subtraction Property of Equality

Step-by-step explanation:

Answer:

Option C and B

Step-by-step explanation:

In the question step C is 23 + 11 = -11 +(-4x) + 11

which is in the form of a + b = c + a

In step C we have added 11 on both the sides to eliminate 11 from right side of the equation.

property which signifies this step is

Addition property of equality :

In step 'f' expression is

\frac{34}{-4}=\frac{-4x}{-4}

In this step equation has been divided by -4 on both the sides to eliminate 4 from the numerator.

In this step division property of equality has been applied.

Therefore Option C and B are the correct options.

A sequence can be generated by using an=an−1+4, where a1=5 and n is a whole number greater than 1.

What are the first 5 terms in the sequence?


5, 20, 80, 320, 1280

4, 9, 14, 19, 24

4, 20, 100, 500, 2500

5, 9, 13, 17, 21

Answers

The first 5 terms of the arithmetic sequence are: 5, 9, 13, 17, 21.

How to find the first 5 terms?

Here we have an arithmetic sequence, such that the recursive formula is:

[tex]a_n = a_{n- 1} + 4[/tex]

Such that:

a₁ = 5.

Using that formula we can get the next 4 terms. For the second term we use n = 2, so we get:

[tex]a_2 = a_1 + 4 = 5 + 4 = 9[/tex]

For the third term we have:

[tex]a_3 = a_2 + 4 = 9 + 4 = 13[/tex]

For the fourth term we have:

[tex]a_4 = a_3 + 4 = 13 + 4 = 17[/tex]

For the fifth term we have:

[tex]a_5 = a_4 + 4 = 17 + 4 = 21[/tex]

Then the first 5 terms of the sequence are:

5, 9, 13, 17, 21.

If you want to learn more about sequences, you can read:

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HELP MEEEEEE i dont get it my teaher didnt teach me dis??

Answers

Answer:

6

Step-by-step explanation:

because  i had the same question and the departments where 6

Answer:

Hey! I can teach you this.

The range is the distance between the highest and lowest numbers.

In this case, the lowest number is 3, and the highest is 54, making the range 54 - 3, which is 51.

Because 3 is 51 away from 54. I hope this helps you!

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