Bob and his best friend bill have the same birthday, but bob is 3 years older than bill. let the variable x represent bob’s age and y represent bill’s age. which equation models the relationship between bill’s age and bob’s age?
a. y = x/3
b. y = x + 3
c. x = y + 3
d. y = 3x
is the statement true or false? (ab)c = a(cb).
a. true
b. false

addition

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