Match the statements with their values mabc + mbac + macb when abc is an isosceles triangle with ab=ac mabc when mbac = 70° and abc is an isosceles triangle with ab=ac mqpr when mqrp = 30 and pqr is an isosceles triangle with po = qr mbde when mbac = 45° and points d and e are the midpoints of ab and bc, respectively, in abc

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

f(x)=4

step-by-step explanation: