Triangle XYZ was reflected across m and then dilated to form a similar triangle. Which triangle represents the image? A. Triangle X Y Z is reflected across line m. It is rotated about point X prime and then is dilated to form a smaller triangle. B. Triangle X Y Z is reflected across line m and then is dilated to form smaller triangle X prime Y prime Z prime. C. Triangle X Y Z is reflected across line m to form triangle Z prime Y prime X prime. A B or C

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step-by-step explanation:

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

just sum

10 + 10 = 20