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2 years ago

Please help

Mathematics

1 answer:

gtnhenbr [62]2 years ago

7 0

A line perpendicular to y = -2x + 5 will have an equation in the form of:

y = (1/2)x + b

Since the graph must intersect (-2,9), we plug in this point to solve for b.

9 = (1/2)*(-2) + b

9 = -1 + b

10 = b

So the equation is:

y = (1/2)x + 10

The answer is A.

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$\bar X = 100.4$

And we can calculate the deviations from each value like this:

$|101.5-100.4 |=1.1$

$|98.7-100.4 |=1.7$

$|95.4-100.4 |=5.0$

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And the mean absolute deviation would be:

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Step-by-step explanation:

For this case we have the following dataset given:

101.5 98.7 95.4 92.3 109.8 104.7

We can calculate the mean with the following formula:

$\bar X =\frac{\sum_{i=1}^n X_i}{n}$

And replacing we got:

$\bar X = 100.4$

And we can calculate the deviations from each value like this:

$|101.5-100.4 |=1.1$

$|98.7-100.4 |=1.7$

$|95.4-100.4 |=5.0$

$|92.3-100.4 |=8.1$

$|109.8-100.4 |=9.4$

$|104.7-100.4|=4.3$

And the mean absolute deviation would be:

$MAD =\frac{1.1+1.7+5.0+8.1+9.4+4.3}{6}= 4.93$

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Step-by-step explanation:

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