2 years ago

If the variance of the data values in a population is 324, what is the standard deviation of the data values?

1 answer:

8 0

Simply the standard deviation of the data values is the square root of the variance: $S= \sqrt{V}= \sqrt{324}$ =18
Answer: D)18

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The rectangle below has a area x^2-x-72 square meters and a length of x+8 meters what expression represents the width of the rec

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ANSWER

$w = (x - 8)$

EXPLANATION

The given rectangle has area,

$A = {x}^{2} - x - 72 \: {m}^{2}$

It was given to us that, the length of the rectangle is l=(x+8)

To find the width, we need to factor, the expression for the area.

We split the middle term to get,

$A = {x}^{2} - 9x + 8x- 72$

We now factor by grouping;

$A = x(x - 9) + 8(x- 9)$

$A = (x + 8)(x - 9)$

We know that area of a rectangle is

$A = l \times w$

Hence the width of the rectangle is,

$w = (x - 8)$

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