Im so confused, how do i get the variance with just the standard deviation
Im so confused, how do i get the variance with - 1

Answers

Answer 1
Answer:

Answer:

To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.

hope this helps!


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*****Write a polynomial using the roots -3,5i. PLEASE HELP IM SO LOST!!!

Answers

The polynomial (x-a) has a unique root, a, for any a.

Hence (x+3)(x-5i) is a polynomial with roots -3 and 5i

Andy drove 840 miles in 12 hours how far could he drive in 3.5 hours

Answers

12/12 840/12 = 1 hr 7miles
7 per hr
3.5x7 = 24.5 miles

Need help solving. Prefer you show each step in solving.

Answers

Answer:

AB║CD and AD║BC

Step-by-step explanation:

By the property of a parallelogram,

" Consecutive angles of a parallelogram are supplementary"

In the figure attached,

∠DCB and ∠CDA are the supplementary angles. Therefore ABCD will be a parallelogram.

[Given: m(∠DCB) + m(∠CDA) = 180°]

And the pair of opposite sides of the parallelogram ABCD will be parallel.

AD║BC and AB║CD

The sum of two numbers is 30. Their difference is 6. What are the numbers?6 and 24
12 and 18
10 and 20
8 and 14

Answers

Answer:

Find out the numbers .

To prove

Let us assume that one number be x.

Let us assume that second number be y.

As given

The sum of two numbers is 30.

Than the equation becomes

x + y = 30

Their difference is 6.

x - y = 6

Thus two equation are .

x + y = 30 and x - y = 6

Subtracted  x - y = 6 from x + y = 30

x - x + y - (-y) = 30 - 6

y + y  = 24

2y = 24

y = (24)/(2)

y = 12

Put in the x - y = 6

x - 12 = 6

x = 6 + 12

x = 18

Therefore the two numbers are 12 and 18 .

Okay lets start by getting rid of the ones that don't have a difference of 6. We are now left with '12 and 18' and '6 and 14'. If we take a look we can see that '6 and 14' add up to 20. So it is clear that only '12 and 18' add up to 30 and have a difference of 6.

Simplify
8v+w+7-8v+2w
4c^2 +6c-3c^2-2c-3
Z^3+5z+3z^2+1-4-2z^2

Answers

1) 8v+w+7-8v+2w

=w+7+2w

=3w+7

-----------------------------

2) 4c^2+6c-3c^2-2c-3

=c^2+6c-2c-3

=c^2+4c-3

-------------------------------

3) z^3+5z+3z^2+1-4-2z^2

=z^3+z^2+5z+1-4

=z^3+z^2+5z-3

Four less than the sum of a number and 7 is eight more than twice that number. find the number.

Answers

Answer:

-5

Step-by-step explanation:

To find the number, let's break down the problem step by step.

First, let's assign a variable to represent the unknown number. Let's call it "x."

According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."

Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."

Now, we can set up an equation based on the information given:

(x + 7) - 4 = 2x + 8

Let's solve this equation to find the value of x.

First, let's simplify the left side of the equation:

x + 7 - 4 = 2x + 8

x + 3 = 2x + 8

Next, let's isolate the variable by subtracting x from both sides:

x - x + 3 = 2x - x + 8

3 = x + 8

To isolate x, we need to get rid of the 8 by subtracting it from both sides:

3 - 8 = x + 8 - 8

-5 = x

Therefore, the number is -5.

To check our answer, let's substitute -5 into the original equation and see if it holds true:

( -5 + 7) - 4 = 2(-5) + 8

2 - 4 = -10 + 8

-2 = -2

The equation holds true, which confirms that the number is indeed -5.