Calculate the variance of the following set of data.

3, 33, 303, 233, 3, 73, 83, 63

Answers

Answer 1

Answer:

its 12084

Step-by-step explanation:

on my test

Answer 2

Variance is the measurement of the spread between numbers in a given set of data.

The variance for the set is 12083.929

What is a variance?

It is the measurement of the spread between numbers in a given set of data.

We have,

3, 33, 303, 233, 3, 73, 83, 63

The formula to find variance:

Find the means of the set of data.

Find the deviation of the set of data from the mean.

Find the sum of the squares of the mean deviations.

Divide the sum of the squares of the mean deviations by (n-1)

where n is the number of data in the set.

The mean:

= (3 + 33 + 303 + 233 + 3 + 73 + 83 + 63) / 8

= 794/8

= 99.25

Deviation from the mean:

3 - 99.25 = -96.25

33 - 99.25 = -66.25

303 - 99.25 = 203.75

3 - 99.24 = -96.25

73 - 99.25 = -26.25

83 - 99.25 = -16.25

63 - 99.25 = -36.25

The sum of the squares of Mean deviation:

= 9264 + 4389 + 41514 + 9264 + 689 + 264 + 1314

= 84587.5

The variance:

= 84587.5 ÷ (8 - 1)

= 84587.5 / 7
= 12083.929

Thus,

The variance for the set is 12083.929

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Related Questions

write an explicit rule for the sequence

Answers

For the top row it increases by 2. For the bottom row it decreases by 5. And the top row times 2 equals the bottom row

PLEASE HELP!! BRAINLIEST AND 10 POINTS !!

Answers

Answer:

Give brainliest first then I’ll give the answer

Step-by-step explanation:

using the same application you used in part f, reflect the line segment across the x-axis. then, rotate it 90° clockwise. Finally. translate it down 2 units. what is the relationship between the original line segment and the transformed segment ? if you transform a line segment with a seweurnce of reflections, to stations, or translations, is it still a line segment ?

Answers

Answer:

non

Step-by-step explanation:

due 7:59 am est. Faith is saving up to buy a new bicycle. She already has $40 and can save an additional $6 per week using money from her after school job. How much total money would Faith have after 8 weeks of saving? Also, write an expression that represents the amount of money Faith would have saved in w weeks.

Answers

Answer:

After 8 weeks, Faith would have $88. money saved = 40+6w

Answer:

$88 saved in 8 weeks

Step-by-step explanation:

Part 1:

You would first set up the equation 40 + (6 x 8) = t. T would be the total money saved. You would then do 6 times 8 first, as they're in parenthesis. You would get 48. You now have 40 + 48 = t. You would now add like terms, and you would get 88 = t. You would save $88 in 8 weeks.

Part 2:

40 + 6w = t

w would represent the number of weeks, t would represent the total number of money saved.

Henry took a total of 9 quizzes over the course of 3 weeks. How many weeks of school will Henry have to attend this quarter before he will have taken a total of 15 quizzes? Assume the
relationship is directly proportional

Answers

Answer:

5 weeks if it stays the rate of 3 quizzes a week

brainliest if correct please

Step-by-step explanation:

4x-2y = 2
3x-2y=-19
Help

Answers

Answer:

{x,y}={21,41}

Step-by-step explanation:

Step by Step Solution:

More Icon

System of Linear Equations entered :

  [1]    4x - 2y = 2

  [2]    3x - 2y = -19

Graphic Representation of the Equations :

   -2y + 4x = 2        -2y + 3x = -19  

 

Solve by Substitution :

// Solve equation [2] for the variable  x

 [2]    3x = 2y - 19

 [2]    x = 2y/3 - 19/3

// Plug this in for variable  x  in equation [1]

  [1]    4•(2y/3-19/3) - 2y = 2

  [1]    2y/3 = 82/3

  [1]    2y = 82

// Solve equation [1] for the variable  y

  [1]    2y = 82

  [1]    y = 41

// By now we know this much :

   x = 2y/3-19/3

   y = 41

// Use the  y  value to solve for  x

   x = (2/3)(41)-19/3 = 21

Solution :

{x,y} = {21,41}

Answer: {x,y}={21,41}

What is the solution set of the following equation?



-8x + x + 15 = -7x + 12

Answers

Answer:

-3 is the solution set of the following equation

A pet store has 40 animals for sale and 15 of them are puppies what is the ratio of animals that are not puppies to the total number of animals for sale at the pet stor

Answers

Answer: 5:8

Step-by-step explanation:

Given: Total animals in the pet store = 40

Number of animals that are puppies= 15

Number of animals that are not puppies= 40-  15 = 25

Now , the ratio of A to B = [tex]\dfrac{A}{B}[/tex] or A : B.

So, the ratio of animals that are not puppies to the total number of animals for sale at the pet store = [tex]\dfrac{25}{40}[/tex]

Divide numerator and denominator by 5 , we get [tex]\ \ \ \dfrac{5}{8}[/tex].

Hence, the required ratio = 5:8

1 There are 4 trucks for every 5 cars in a parking lot. How many trucks and
cars could be in the parking lot?
A 64 trucks and 80 cars
B
72 trucks and 73 cars
C.
84 trucks and 100 cars
D.
96 trucks and 110 cars

Answers

Answer:

A. 64 trucks and 80 cars

Step-by-step explanation:

The ratio is 4:5 or 4/5, which equals 0.8. Divide the number of trucks by the number of cars to see which other answer equals 0.8. The only one that does is A.

que es un experimento determinista

Answers

Answer:

Un experimento determinista es aquel cuyo resultado se puede predecir con certeza de antemano, como combinar hidrógeno y oxígeno o sumar dos números como 2 3. Un experimento aleatorio es aquel cuyo resultado se determina por azar.

Step-by-step explanation:

what is a deterministic experiment

A deterministic experiment is one whose outcome may be predicted with certainty beforehand, such as combining Hydrogen and Oxygen, or adding two numbers such as 2 3. A random experiment is one whose outcome is determined by chance.

The link between the bases on a basketball field is 93 a scale drawing shows the distance between the Bases as 1 1/2 to 1 inch on the drawing equals how many feet

Answers

Answer:

Distance on drawing is 11.7 feet.

Step-by-step explanation:

A scale is a factor that can be used to either increase or decrease the size of an object.

Scale = [tex]\frac{distance on drawing}{original distance}[/tex]

Given that:

scale = [tex]\frac{3}{2}[/tex] to 1 inch, and the original distance = 93 inches

So,

[tex]\frac{3}{2}[/tex] : 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] ÷ 1 = [tex]\frac{distance on drawing}{93}[/tex]

[tex]\frac{3}{2}[/tex] x [tex]\frac{1}{1}[/tex] = [tex]\frac{distance on drawing}{93}[/tex]

distance on drawing = [tex]\frac{3*93}{2}[/tex]

                               = [tex]\frac{279}{2}[/tex]

                               = 139.5

distance on drawing = 139.5 inches

Since 12 inches = 1 foot, then;

Distance on drawing in feet = [tex]\frac{139.5}{12}[/tex]

                                              = 11.625 feet

Distance on drawing is 11.7 feet.

Please help! what is an equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32)?​

Answers

Answer:

           f(x) = - 4x² - 20x + 56  

Step-by-step explanation:

f(x) = a(x - x₁)(x - x₂)     - factored form of the equation of the parabola with zeros x₁ and x₂

x-intercepts at (2,0) and (-7,0) means zeros: x₁=2 and x₂=-7

So:

f(x) = a(x - 2)(x + 7)     - factored form of the equation of the parabola with x-intercepts at (2,0) and (-7,0)

The parabola passing through point (1, 32) means if x=1 then f(x)=32

Then:

        32 = a(1 - 2)(1 + 7)  

        32 = a(-1)(8)  

        32 = - 8a

         a = - 4

Therefore the equation of a parabola with x-intercepts at (2,0) and (-7,0) and which passes through the point (1,32):

                           f(x) = -4(x - 2)(x + 7)  

Expanding to standard form:

     f(x) = -4(x - 2)(x + 7)

     f(x) = -4(x² + 7x - 2x - 14)  

     f(x) = -4x² - 20x + 56  

The equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is

f(x) = -4 ( x - 2 ) ( x + 7 )

Its standard form is

f(x) = -4x² - 20x + 56.

What is a parabola?

It is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line

We have,

To find the equation of a parabola we use the factored form of a quadratic equation.

f(x) = a ( x - m ) ( x - n)

Where a is the leading coefficient and m and n are the zeros of the quadratic.

The equation has x-intercepts at (2, 0) and (-7, 0) so we can say that,

m = 2

n = -7

Now the equation passes through (1, 32) = (1, 32) so we have,

32 = a ( 1 - 2 ) ( 1 - (-7) )

32 = a ( -1 ) ( 1 + 7 )

32 = a ( -1 )8

32 = -8a

a = -32 / 8

a = -4

We have,

m = 2

n = -7

a = -4

The equation of the parabola is:

f(x) = a ( x - m ) ( x - n)

f(x) = -4 ( x - 2 ) ( x + 7 )

We can expand to its standard form as:

f(x) = ( -4x + 8 ) ( x + 7 )

f(x) = -4x² - 28x + 8x + 56

f(x) = -4x² - 20x + 56

Thus the equation of the parabola with x-intercepts at (2,0) and (-7,0) and passes through the point (1,32) is f(x) = -4 ( x - 2 ) ( x + 7 ) and its standard form is f(x) = -4x² - 20x + 56.

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Rita goes for a bike ride on a trail by her house. After 15 minutes of riding she sees a mile marker. When she sees the third mile marker ,she realizes that she has been biking for 30 minutes. What is the rate at which she is riding?

Answers

Answer:

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Step-by-step explanation:

The computation of the rate at which she is riding is shown below:

Given that

Rita covered 1 mile in 15 minutes.

And, her covered 3 miles in 30 minutes.

Now

Let us assume the number of miles covered would be in x minutes

So for one miles the point would be (15,1)

And for three miles, the point is (30,3)

Now the slope of the line is

m equal to

[tex]\frac{y_2 - y_1}{x_2 - x_1} \\\\\frac{3 - 1}{30 - 15} \\\\\frac{2}{15}[/tex]

hence, she is riding [tex]\frac{2}{15}[/tex] miles per minute

Find the rate of change of y with respect to the x of the line that passes through points (-28,8) and (-42,15)​

Answers

Answer:

-1/2

Step-by-step explanation:

8-15 = -7

-28 - -42 = 14

-7/14 = -1/2

what is 9-3 divided by 1/3 +1? pls help me and i will give you a brainlist

Answers

Answer:

19

Step-by-step explanation:

1. Subtract and divide. 9 - 3 is 6, and 6 divided by 1/3 is 18, because whenever you divide by a fraction, you multiply by the reciprocal.

2. Add. 18 + 1 is 19.

Jasmine found a wooden jewellery box shaped like a right rectangular prism. What is the volume of the jewellery box? MY TEACHER DIDNT TEACH US VOLUME. Ugh. ‍♀️

Answers

Answer:

Volume = Length × Width × Height

Step-by-step explanation:

A right rectangular prism is a three-dimensional object like the one shown in the attachment. It has dimensions: Length, Width and Height. All the angles between the sides are 90°. In order to calculate the volume of an object shaped like a  right rectangular prism, we use the following expression.

Volume = Length × Width × Height

All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours. How many hours would it take to fill the order if the number of working machines increased by factor of 4?

Answers

5.5 I think hope this helps

Answer:

5.5

hope this helped!!!!!

Student Council is sponsoring the next school dance. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many total pizzas will they order if they plan to order 36 pepperoni pizzas for the dance?

Answers

Answer: 60 pizzas

Step-by-step explanation:

From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.

Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:

= 36 × 2/3

= 24 cheese pizzas

The total pizza ordered will now be:

= Cheese pizzas + Pepperoni pizzas

= 24 + 36

= 60 pizzas

Answer:

60

Step-by-step explanation:

60 trust me

Anthony has 115 books in his room. he is storing them in boxes. Each box holds 17 books How many boxes does Anthony need?

Answers

Answer:

7 boxes

Step-by-step explanation:

Given g(x) = x4 + 2x3 - 7x2 - 8x + 12. When g(x) is divided by x - 1, which conclusion about g(x) is true?

1.9(1) = 0
2.9(-1) = 0
3.x + 1 is a factor of g(x).
4. No conclusion can be made regarding g(x).

Answers

Answer:

g(1) = 0

There is a remainder of 10 so you can automatically cross out 3 and 4.

When [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

The given equation is:

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

x- 1 is a factor of [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] only if g(1) = 0

Let us find g(1) by substituting x = 1 into [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex]

[tex]g(1) = 1^4+2(1^3)-7(1^2)-8(1)+12\\\\g(1) = 1 + 2 - 7 - 8 + 12\\\\g(1) = -12 + 12\\\\g(1) = 0[/tex]

Therefore, when [tex]g(x) = x^4 + 2x^3-7x^2-8x+12[/tex] is divided by x - 1, the only true conclusion is g(1) = 0

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What is k? (look at the attached photo for the problem, thank you!!)

Answers

the solution for k would be 12

I need the answer ASAP please

Answers

Answer:

Remainder → (76)

Step-by-step explanation:

Given function;

f(x) = x² - 5

f(x) = x² + 0.x - 5

We have to divide this function by expression (x + 9).

x + 9) x² + 0.x - 5 (x - 9

        x² + 9x

             - 9x - 5  

             - 9x - 81

                      76

Therefore, by dividing the function 'f' by (x + 9) remainder is (76).

Which of the lines below has an undefined slope? A B 6 с LO D 5 O A. Line A O B. Line B O C. Line C O D. Line D​

Answers

Answer:

B. Line B

General Formulas and Concepts:

Algebra I

Undefined slopes are when x equals a certain number.

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

Step-by-step explanation:

From the given choices, B is the correct answer.

A has a slope of 0, so m = 0 and would become a horizontal line.

C has a negative slope, so it is not undefined.

D has a positive slope, so it is not undefined.

B shows a vertical line, and so it has an undefined slope.

A trapezoid. Sides R U and S T are parallel.

Examine the trapezoid. Which sides are parallel?

sides RU and ST

sides RS and ST

sides ST and UT

sides RS and UT

Answers

Answer:

Sides RU and ST

Step-by-step explanation:

Just did the quiz

Stan borrows $5,500 at a rate of 12% interest per year. What is the amount due at the end of 5 years if the interest is compounded continuously? In your final answer, include your calculations.

Answers

Answer:

1.) Without compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year term.

2.) Using the compounded interest formula, you will earn $22883.01 after the 7 year term.

3.) Because of the negative interest, the compounded amount is only $695,929.30.

4.) Putting money in a saving account is saving money with a lower earning compared to investments. Investments have the higher potential of earning more than just having a basic savings account.

Step-by-step explanation:

If you don't have compound interest, you would earn only $8800.00. This means that thanks to the power of compound interest you will earn an additional $1191.83 in interest at the end of the 5 year plan.

22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).

help is appreciated !!!

Answers

Answer:(

(-4,-3)

Step-by-step explanation:

You get the negative and subtract from y1 and y2 and then ad x1 with the result of the subtraciton. : ) hope this helps!

Find the GCF using any method:
36, 84, and 90

Answers

Answer:

6

Step-by-step explanation:

Big brain

Find BA
CB + BA = CA
7x-2 + 5x+1 = 23

Answers

Answer:

BA = 11

Step-by-step explanation:

CB + BA = CA , substitute values

7x - 2 + 5x + 1 = 23, that is

12x - 1 = 23 ( add 1 to both sides )

12x = 24 ( divide both sides by 12 )

x = 2

Thus

BA = 5x + 1 = 5(2) + 1 = 10 + 1 = 11

since CB + BA = CA,
sub. in all the values :
7x - 2 + 5x + 1 = 23

find the value of x :
7x + 5x = 23 + 2 - 1
12x = 24
x = 2

sub. in the value of x into (5x + 1),
BA = 5(2) + 1
BA = 10 + 1
BA = 11

Find the measure of the indicated angle to the nearest degree

Answers

I would use length time width

He Martins have a solar energy system. The system produces 9.1 Kilowatts of energy each hour. The system produces electricity for 5 hours each day. How much energey, in KWh, will the system produce in 100 day?

Answers

Answer:

4550 kilowatt

Step-by-step explanation:

Given that :

Amount of energy produced per hour by solar energy system = 9.1 kw per hour

Number of hours for which electricity is produced per day = 5 hours

How much energy will be produced in 100 days

Number of kilowatt of energy produced per day:

Energy produced per hour * number of hours

9.1 kw per hour * 5 hours = 45.5 Kilowatt per day

In 100 days :

Daily energy produced * number of days

45.5 kilowatt * 100 days

4550 kilowatt

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