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miskamm [114]
4 years ago
8

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5

Mathematics
1 answer:
rosijanka [135]4 years ago
7 0

Answer:

see below

Step by Step

<em>Parallel lines have the same slope.</em>

<em>Perpendicular lines have opposite reciprocal slopes (flip and change sign)</em>

line m- neither (5/2 is the reciprocal of 2/5 but not the opposite reciprocal)

line n- perpendicular (-5/2 is the opposite reciprocal of 2/5 so it is perpendicular)

line p- parallel (same slope)

line q- neither

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Consider a value to be significantly low if its z score less than or equal to minus−2 or consider a value to be significantly hi
den301095 [7]

Answer:

Test scores of 10.2 or lower are significantly low.

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Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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In this problem, we have that:

\mu = 20.6, \sigma = 5.2

Significantly low:

Z-scores of -2 or lower

So scores of X when Z = -2 or lower

Z = \frac{X - \mu}{\sigma}

-2 = \frac{X - 20.6}{5.2}

X - 20.6 = -2*5.2

X = 10.2

Test scores of 10.2 or lower are significantly low.

Significantly high:

Z-scores of 2 or higher

So scores of X when Z = 2 or higher

Z = \frac{X - \mu}{\sigma}

2 = \frac{X - 20.6}{5.2}

X - 20.6 = 2*5.2

X = 31

Test scores of 31 or higher are significantly high

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