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2 years ago

Y= -3x-9 and y=1/3 x -39

1 answer:

8 0

(9,-36)
X=9 Y= -36
-3x-9=1/3x-39
Solve it
The answer is x=9
Y=-3x-9
Y= -3(add the 9 because 9 is equal x) -9
Y=-3(9)-9
Solve it
The answer is y=-36

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Answer:

Variance of the given data = 31.143

Explanation:

Variance, $\sigma^2=\frac{1}{n} \sum_{i=1}^{n}(x_i-\mu)^2$ , where n is the number of observations, μ is the mean and $x_i$ is the observations made.

Number of observations, n = 7

Mean, μ = $\frac{10+19+21+28+12+20+16}{7} = 18$

$\sum_{i=1}^{n}(x_i-\mu)^2=(10-18)^2+(19-18)^2+(21-18)^2+(28-18)^2+(12-18)^2+(20-18)^2+(16-18)^2\\ \\ \sum_{i=1}^{n}(x_i-\mu)^2=64+1+9+100+36+4+4=218$

$\sigma^2=\frac{1}{n} \sum_{i=1}^{n}(x_i-\mu)^2=\frac{218}{7} =31.143$

So variance of the given data = 31.143

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3 years ago

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Step-by-step explanation:

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