Let f(x) = 2x2 + x − 3 and g(x) = x − 1. find f(x) • g(x).
a. x2 − 4x + 3
b. 2x3 − 4x2 + 3
c. 2x3 − x2 + 4x − 3
d. 2x3 − x2 − 4x + 3

point a is the center of the circle that passes through points e, f, and g and the center of the circle that passes through points x, y, and z.

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