A different math class took the same test with these five test scores: 92, 92,92,52,52 Find the standard deviation and the variance for this class.

Answers

Answer 1

The standard deviation for the given test scores is 20, and the variance is 400

We have,

To find the standard deviation and variance for the given test scores, we can follow these steps:

Calculate the mean (average) of the test scores:

Mean (μ) = (92 + 92 + 92 + 52 + 52) / 5 = 80

Calculate the deviation of each test score from the mean:

Deviation = Test score - Mean

For the given test scores:

Deviations = (92 - 80), (92 - 80), (92 - 80), (52 - 80), (52 - 80)

= 12, 12, 12, -28, -28

Square each deviation:

Squared Deviations = Deviation²

Squared Deviations = 12², 12², 12², (-28)², (-28)²

= 144, 144, 144, 784, 784

Calculate the variance:

Variance = (Sum of Squared Deviations) / (Number of Scores)

Variance = (144 + 144 + 144 + 784 + 784) / 5

= 2000 / 5

= 400

Calculate the standard deviation:

Standard Deviation = √Variance

Standard Deviation = √400

= 20

Therefore,

The standard deviation for the given test scores is 20, and the variance is 400.

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Related Questions

One house key weighs 1/2
ounce.
Which model represents the total weight in ounces of 5 house keys?

Answers

Answer: 5/2

Step-by-step explanation:

If 1 house key weighs 1/2 ounce,

Then do 5×1/2 which is 5/2

or [tex]\frac{1key}{5key} \frac{1/2ounce}{?}[/tex]

With this cross multiply and get 1x=5/2

giving a total of 5/2 again when divided by 1.

Please help me with this

Answers

Answer:

join

Step-by-step explanation:

meet./vyc-hwbw-svg

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

(1)

Here m = 2 and (a, b) = (- 1, 3 ) , then

y - 3 = 2(x - (- 1) ), that is

y - 3 = 2(x + 1)

(2)

Here m = - 5 and (a, b) = (4, 0 ) the coordinates of the x- intercept

y - 0 = - 5(x - 4) , that is

y = - 5(x - 4)

PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP​

Answers

E⁣⁣⁣xplanation i⁣⁣⁣s i⁣⁣⁣n a f⁣⁣⁣ile

bit.[tex]^{}[/tex]ly/3a8Nt8n

Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458

Answers

Answer:

tn = -1350 + 468n  

Step-by-step explanation:

First, we need to find the difference.

1458 - 54 / 6 - 3

= 468

Now we need to find the first term.

t3 = t1 + (n - 1) (d)

54 = t1 + (3 - 1)(468)

54 = t1 + (2)(468)

54 = t1 + 936

-882 = t1

The rule is:

tn = -882 + (n-1) (468)

tn = -882 + 468n - 468

tn = -1350 + 468n  

Find the standard form of:

x^2+3y^2+4x=5

-9x^2+25y^2-54x-50y-281=0

Answers

Answer:

2 + 3 2+ 4 = 5 − 9 2 +2 5 2 − 5 4 − 5 0 − 2 8 1 = 0

Step-by-step explanation:

There really isn't an easier way to put that, sorry :/

Hope this helped, and please mark as brainliest <3

Lets be a given function. A graphical interpretation of the 3-point central difference formula for approximating f'(x) is the slope of the line joining the points of absuissas Xoth h with h > 0.
T/F

Answers

True. The graphical interpretation involves calculating the slope of the line connecting two points on the graph of the function, with the distance between the points denoted as h, where h is greater than zero.

The 3-point central difference formula is a numerical approximation technique used to estimate the derivative of a function at a specific point. In this formula, the slope of the line joining two points on the graph of the function is used to approximate the derivative.

To apply the 3-point central difference formula, three points on the graph are considered: (x-h, f(x-h)), (x, f(x)), and (x+h, f(x+h)), where h is a positive value. These three points create two lines: one connecting (x-h, f(x-h)) and (x, f(x)), and the other connecting (x, f(x)) and (x+h, f(x+h)).

The slope of the line joining the points (x-h, f(x-h)) and (x+h, f(x+h)) is then calculated, which represents the approximation of the derivative at x using the 3-point central difference formula. The distance between the two x-coordinates, h, is taken to be greater than zero to ensure that the points are not too close together, allowing for a more accurate estimation of the derivative.

Therefore, the statement is true, as the graphical interpretation of the 3-point central difference formula involves calculating the slope of the line joining the points with a positive value of h.

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John had 8 marbles and 4 red marbles in the bag. He took 1 marble from the bag and then replaced it and then took a second marble. What is the probability that john gets a red marble and then a red marble again?

A: 1/9

B: 3/4

C: 1/3

D: 1/11

Answers

Answer:

1/4

Step-by-step explanation:

P(red,red) = 4/8 x 4/8 = 1/2 x 1/2 = 1/4

Write the equation of a line in slope intercept form that passes through (3,-2) and (0,-5)

Answers

Answer:

y=x-5

Step-by-step explanation:

First, you find the slope by -2-(-5)/3-0. This would be 3/3 which is equal to 1. Then you plug in the x with any point you want. I'm going to use (3,-2). The equation should look like -2=3+y. Now we find what is y. Therefore for this equation to be true. Y is equal to -5. Now put it all together. Y=x-5. You can use the other point to check my answer!  Hope that helps!!

Pls help me I don't get it.
Pls indicate steps

Answers

I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.

Answer:

x = -3, y = 3

Step-by-step explanation:

multiply the equation 3y - x = 12 by 3:

=> 9y - 3x = 36

now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:

=>    9y - 3x = 36

 +)   4y + 3x = 3

______________

       13y        = 39

=>       y         = 3

substitute y = 3 into the original equation 3y - x = 12 to solve for x:

3(3) - x = 12

=> -x = 12 - 9

=> -x = 3

=> x = -3

You will get 40 points if you help me and Brainliest!

Answers

Answer:

The answer is c It is hard to explain so sorry

Answer:

C

Step-by-step explanation:

The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.

given the equation y = 2x - 8, what is the slope and the y-intercept?

Answers

After considering the given data  and performing a series of serious calculations we conclude that the evaluated slope of the given line is 2, under the condition that the given line equation [tex]y = 2x - 8.[/tex]

Here we have to apply the principles of coordinate geometry, to evaluate the dedicated slope engaged to a line.
The  given equation [tex]y = 2x - 8[/tex]is present in the slope-intercept form,
[tex]y = mx + b,[/tex]
Here as we can see that
the slope is m  and b is the y-intercept.
Hence, the slope of the given line is 2 and the y-intercept is -8, this can be seen in the diagram given below.
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The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?

Answers

Answer:

Step-by-step explanation:

9x - 1 / 2 + 9/2 x = 0.128886 (43)

2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)

= x1 + 24 - 3/4 + 8

9/3 - 1 x = /3

If a pack of highlighter costs 2.40 what is the cost Per highlighter, in dollars and cent

Answers

From the information you gave me, I am going to guess it is a 4 pack of highlighters.

Answer: $0.60 per highlighter

Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).

A builder has an 6-acre plot divided into 1 4 -acre home sites. How many 1 4 -acre home sites are there?

Answers

Complete question :

A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?

Answer:

24 home sites

Step-by-step explanation:

Given :

Total size of land = 6 - acre

Size of each home site = 1/4 acre

Number of home sites obtainable from the 6-acre land :

Total size of land ÷ size of each home site ;

6 ÷ 1/4

6 * 4/1

= 24

Hence, 24 home sites are on the plot of land.

Find the area of the figure.

Answers

Answer:

192.2

Step-by-step explanation:

The formula for area of a rectangle is A= base times height’

15.5 x 12.4= 192.2

Hello, can someone please assist me with this problem.

Answers

So for this problem you need to find the length of a side of the square. To do this you can use Pythagorean theorem to find the length of the right triangle with the side of the square as it’s hypotenuse.
The Pythagorean theorem is:
a^2 + b^2 = c^2
a = 1 and b = 3
1^2 + 3^2 = c^2
10 = c^2
square root of 10 = c

Now that we know the length of the side, we can find the area of the square. Area of a square = side^2, so:
Area = (square root of 10)^2 = 10

The area of the square is 10!

Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?

Answers

Kiran can explain factoring to lin by finding what multiples together to get an expression. It is in a way, like splitting an expression into multiplication easier expressions.

Answer:

doing this so other guy gets brainliest

Step-by-step explanation:

Write a linear (y= mx + b), quadratic ( y= ax^2), or exponential (y=a(b)^x) function that models the data.

Answers

The type of function that models the data in the table is linear and the equation is y = 4x - 1

Identifying the type of function that models the data in the table?

From the question, we have the following table of values that can be used in our computation:

The table of values

The above definitions imply that

As x increases by 1

y increases by 4

This means that the function is a linear function

Also, we have

Slope = 4/1

So, we have

Slope = 4

The equation is then calculated as

y = Slope * x + y-intercept

From the table, we have

y-intercept = -1

So, we have

y = 4x - 1

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Hey I know this is kind of a lot but can someone pls help.

Answers

Answer:

J) x = 6; slope is undefined

Step-by-step explanation:

Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.

Jlvesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is

the height of the rocket in centimeters, and the rocket was fired from the ground at timet = 0, where t is

measured in seconds.

Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h=-90t4 + 300t.

When is the height of the Model B rocket 250 centimeters? Round your answers to the nearest

hundredth.

After t =

seconds, the rocket will have reached a height of 250 centimeters.

Answers

Answer:

After t =  1.67 seconds, the rocket will have reached a height of 250 centimeters.

Step-by-step explanation:

Given

[tex]h = -90t^2 + 300t[/tex] --- correct expression

Required: When does height = 250 cm

To do this, we have:

[tex]h = 250[/tex]

This gives:

[tex]250 = -90t^2 + 300t[/tex]

Rewrite as:

[tex]90t^2 - 300t + 250 = 0[/tex]

Divide through by 10

[tex]9t^2 - 30t + 25 = 0[/tex]

Expand

[tex]9t^2 - 15t - 15t + 25 = 0[/tex]

Factorize:

[tex]3t(3t - 5) -5(3t - 5) = 0[/tex]

[tex](3t - 5)(3t - 5) = 0[/tex]

This gives:

[tex]3t - 5 = 0[/tex]

Solve for 3t

[tex]3t = 5[/tex]

Solve for t

[tex]t = \frac{5}{3}[/tex]

[tex]t = 1.67s[/tex]

A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by
H(x)= -3(x-3)^2+108
What is the height of the hovercraft at the time of takeoff?
PLS I NEED THIS ASAP

Answers

9514 1404 393

Answer:

  81 m

Step-by-step explanation:

Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).

  H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81

The height of the hovercraft at the time of takeoff is 81 meters.

Find the area of the circle or semicircle. use 3.14 for pi

Answers

where's the circle? :v

In one year, a principal of $1000 led to an accumulation of $1100 .

The annual percentage yield ( APY ) for this investment is 9 % .

True

False

Answers

In one year, a principal of $1000 led to an accumulation of $1100. The annual percentage yield ( APY ) for this investment is 9 %. False.

The annual percentage yield (APY) is not 9% in this case. The APY takes into account the compounding of interest over the course of a year and provides a more accurate representation of the actual return on the investment. In this scenario, the investment of $1000 growing to $1100 in one year represents a simple interest rate of 10%. The APY would be higher than 10% if the interest was compounded.

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Some chocolate bars are scored (split apart) into equal parts to make them easy to break apart and share. Simon wants to share five chocolate bars equally among four people. The chocolate bars are scored in four equal parts. How should Simon share all the chocolate bars so four people each have an equal share? Show all your mathematical thinking.

Answers

Answer:

If every bar is scored into 4 parts, then Simon has 5*4 parts in total = 20 parts.

To split them between 4 people, each person gets 20/4 parts - 5 parts in total. The way to realize this the easiest would be to give each person a single bar, and then split the last bar into 4 parts and give each person one of them.

In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If 10000 students participated in the poll, how many chose Orange?

Answers

Answer:

2100

Step-by-step explanation:

10,000 x 21%

10000 x 0.21 = 2100

CAN SOMEONE PLEASE HELP ME

Answers

TSR because if u look at the lines of where their similar on the second one you match it up

Can someone please tell me the answers

Answers

Answer:

3. [tex]190yd^{2}[/tex] 4. [tex]45cm^{2}[/tex]

Step-by-step explanation:

Area of trapezoid = half the sum of the parallel sides/ bases x the perpendicular height

3. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]  

                                 = [tex]\frac{(17+21)10}{2}[/tex]

                                 =  [tex]\frac{380}{2}[/tex]

                                 = [tex]190yd^{2}[/tex]

4. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]

                                  = [tex]\frac{(4.5+5.5 )9}{2}[/tex]

                                  = [tex]\frac{90}{2}[/tex]

                                  = [tex]45cm^{2}[/tex]

hope this helps :)

ANSWER ASAP PLEASE!
Diana & Henry are choosing candy toppings for their ice cream. Diana
will randomly choose a candy topping and Henry will also randomly
choose a candy topping. The candy topping choices are Butterfinger,
Snickers, MilkyWays, Crunch Bar, Starburst, and Skittles. What is the
probability that Diana and Henry will both choose Butterfinger?
a. 1/30
b. 1/36
c. 1/12
d. 1/6

Answers

Answer:d

Step-by-step explanation: there are 6 candys and only one is butterfinger therefore it would be 1/6

Answer:

answer should be 1/36

option (b)

good day mate

explanation : the sample space is 36 and butterfinger comes only once to both of them.



If the means of 4,6,9,Y, 16 and 19 is 13, what is the value of y​

Answers

Answer:

-246

Step-by-step explanation:

Add all the numbers together and divide by the amount of numbers added to find the mean. -246 is the only right answer.

Answer:

14

Step-by-step explanation:

To get the mean, you have to add all the numbers together, and then divide them by how many numbers there are. Here, i'll show you.

There are 6 numbers, including [tex]Y[/tex], which we need to find out.

The Equation:  [tex]\frac{4+6+9+Y+16+19}{6} = 13[/tex]

We can simplify this equation into, [tex]\frac{54 + Y}{6} = 13[/tex]

To find [tex]Y\\[/tex], we can do the inverse, and multiply [tex]13[/tex] by [tex]6[/tex].

(The 6 on the left side of the equation is then cancelled out)

[tex]\frac{54+Y}{6} = 13[/tex]  becomes  [tex]54 +Y =13[/tex] × [tex]6\\[/tex][tex]13[/tex] × [tex]6 = 78[/tex] so then [tex]54 + Y = 78[/tex]

For this final equation to be true, [tex]Y[/tex] would have to equal [tex]14[/tex].

Hope the rest of your math goes well :)

What is the difference between the greatest and least amounts of rain?

Answers

Answer:

1 inch

Step-by-step explanation:

hshuehevdjdbevejdj

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