Which of the following number sentences models the associative property of multiplication?
a. 80 x 5 = (40 x 5) + (40 x 5)
b. (11 x 6) x 7 = 11 x (6 x 7)
c. 3 x 4 x 2 = 2 x 4 x 3
d. 44 x 1 = 44

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

correct answer is b. 27/8

step-by-step explanation:

but there’s no any figure there!