What are the resulting coordinates of triangle A′B′C′ after reflecting triangle ABC across the origin if the vertices of triangle ABC are A(2, 6), B(–4,–7), and C(5, –4)? Question 11 options: A) A′(6, 2), B′(–7,–4), C′(–4, –5) B) A′(2, –6), B′(–4,7), C′(5, 4) C) A′(–2, 6), B′(4,–7), C′(–5, –4) D) A′(–2, –6), B′(4,7), C′(–5, 4)

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

answer: b.36 feet

step-by-step explanation: