Please answer! Thank you in advanced

D

Step-by-step explanation:

To solve this problem, let's go through each pair to see if they are perpendicular lines.

A. Incorrect

These are parallel lines. We know this because they have the same slope and different y-intercept.

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B. Incorrect

These are not perpendicular lines. The slope is . The slope of the pair doesn't match this property.

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C. Incorrect

These are not perpendicular lines. The slope is . The slope of the pair doesn't match this property.

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D. Correct

These are perpendicular lines. The slope is . The slope of the pair matches this property.

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E. Incorrect

These are not perpendicular lines. You can see that y=5 and x=5. The slope is . The slope of the pair doesn't match this property.

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

first one because it can't have a fraction in it

step-by-step explanation: