If the standard deviation for a data set is equal to 9, then the variance for that data set is equal to___

Answers

Answer 1

Answer: 81 because standard deviation is equal to the square root of the variance.

Answer 2

Answer:

Final answer:

In a data set, if the standard deviation is given as 9, the variance would be the square of that which equals to 81.

Explanation:

The standard deviation and variance are closely related in statistics. Standard deviation is the square root of the variance. Therefore, if the standard deviation for a data set is given as 9, then the variance would be the square of that value.

To calculate this, you would do the following:

Take the standard deviation which is 9.
Square the standard deviation: 9*9 = 81.

So, if the standard deviation for a data set is 9, then the variance for that data set is equal to 81.

Learn more about Standard Deviation and Variance here:

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Please solve this 3 variable system of equations2g + 3h - 8j= 10g - 4h =1-2g - 3h+ 8j= 5

Can anyone help please

Answers

Answer:

a) (x + 2)(x + 8) ; b) (x + 4)(x + 3) ; c) (x + 12) (x + 1)

Step-by-step explanation:

Think about what would add to make the 'b' and multiply to make the 'c' using this equation: ax² + bx + c

a) (x + 2)(x + 8)

b) (x + 4)(x + 3)

c) (x + 12) (x + 1)

What are the intercepts of y=4x-2?

Answers

First, solve for the x - intercept. To do so, equate y to 0 and solve for x.

0 = 4x - 2, x = 1/2

Second, solve for the y - intercept. Equate x to 0 which will give us,

y = (4)(0) -2, y = -2

Therefore, the x-intercept is 1/2 and y-intercept is -2.

Use the distributive property to multiply

-7 (2x - 4)

I think it's -14x + 28

Answers

-14x+28 is correct. Good job!

It is-14x + 28 way to go!

The measure of an angle is seventeen times the measure of a supplementary angle. What is the measure of each angle?

Answers

The measure of each angle will be 10° and 170°.

A supplementary angle refers to an angle that has the sum to be equal to 180°.

Let the small angle be represented by x

Therefore, the big angle will be: = 17 × x = 17x

Therefore, the value of both angles will be:

x + 17x = 180

18x = 180

Divide both side by 18

18x/18 = 180/18

x = 10

Therefore, the bigger angle will be:

17x = 17 × 10 = 170

Therefore, the angles are 10° and 170°

Read related link on:

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supplementary angles are two angles that when add equal 180 degrees.
The supplement of an angle is 180 - n.

n = 17(180 - n)
n = 3060 - 17n
n + 17n = 3060
18n = 3060
n = 3060/18
n = 170

so the unknown angle (n) = 170 degrees and its supplement = (180 - 170 = 10)......= 10 degrees.

Factor the polynomial t2+8t

Answers

Answer: The required factored form of the given polynomial is $t(t+8).$

Step-by-step explanation: We are given to factorize the following quadratic polynomial :

$P=t^2+8t~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We will be using the following property :

$ab+ac=a(b+c).$

From expression (i), we get

$P\n\n=t^2+8t\n\n=t(t+8).$

Thus, the required factored form of the given polynomial is $t(t+8).$

Two solutions were found : t = 8 t = 0

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "t2" was replaced by "t^2".

Step by step solution :Skip Ad
Step 1 :Step 2 :Pulling out like terms :

2.1 Pull out like factors :

t2 - 8t = t • (t - 8)

Equation at the end of step 2 : t • (t - 8) = 0Step 3 :Theory - Roots of a product :

3.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

3.2 Solve : t = 0

Solution is t = 0

Solving a Single Variable Equation :

3.3      Solve  :    t-8 = 0

Add  8 to both sides of the equation :
                      t = 8

Two solutions were found : t = 8 t = 0

i am a solid figure with two congruent polygons that are bases, connected with lateral faces that are rectangles. who am I ?

Answers

Hello,

You are a right prism with polygonal bases..

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