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g100num [7]
3 years ago
15

The following data values represent a population. What is the variance of the values? 7, 15, 11, 1, 11 A. 32 B. 18 C. 8 D. 22

Mathematics
1 answer:
Dominik [7]3 years ago
6 0
First, we find the mean....
(7 + 15 + 11 + 1 + 11) / 5 = 45 / 5 = 9

now we subtract the mean from every data point, and square it...
7 - 9 = -2.....-2^2 = 4
15 - 9 = 6....6^2 = 36
11 - 9 = 2....2^2 = 4
1 - 9 = -8...-8^2 = 64
11 - 9 = 2...2^2 = 4

now we find the mean of those numbers...that is ur varience...
(4 + 36 + 4 + 64 + 4) / 5 = 112/5 = 22.4....rounds to 22 <==
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1. Write the following rational numbers as quotients of two integers.
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Answer:

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2 years ago
1. The equation of a circle is x^2 + y^2 + 6x - 4y + 4 = 0. What are the center and the radius of the circle? Show ALLLLLL your
Novosadov [1.4K]

Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

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I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

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now the second bolded part is allso a perfect square. Factor:

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Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

:)

8 0
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The second step in the process for factoring the trinomial is to:
emmainna [20.7K]
Example:  <span>the second step in the process for factoring the trinomial x^2-3x-40 is to:</span> <span>Well you really should find the sum of the factors of −40 (not 40) </span>
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<span>−1 * 40 </span>
<span>−2 * 20 </span>
<span>−4 * 10 </span>
<span>−5 * 8 </span>
<span>−8 * 5 </span>
<span>−10 * 4 </span>
<span>−20 * 2 </span>
<span>−40 * 1 </span>

<span>NOW we find the sum of the factors of −40 </span>
<span>−1 + 40 = 39 </span>
<span>−2 + 20 = 18 </span>
<span>−4 + 10 = 6 </span>
<span>−5 + 8 = 3 </span>
<span>−8 + 5 = −3 </span>
<span>−10 + 4 = −6 </span>
<span>−20 + 2 = −18 </span>
<span>−40 + 1 = −39 </span>

<span>Then we choose the factors of −40 whose sum is −3 ---> −8 and 5 </span>
<span>x^2 − 3x − 40 = (x − 8) (x + 5) </span>

<span>So FIRST step is B, SECOND step is C, and final step is factoring. </span>
What Rita did was combine these 2 steps together, which you will learn to do as you get better at factoring.
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Answer:“ C ”

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