Austin is baking apple pies and apple cakes. each pie takes three times the number of apples as each cake. he plans to make 2 pies and 4 cakes. he wrote down the expression 2(3x) + 4(x) to model his baking plans. what does the 3x represent? a. 3x represents the number of apples used in each pie. b. 3x represents the number of apples used in each cake. c. 3x represents the number of cakes and pies being made. d. 3x represents the total number of apples being used.

A. 3x represents the total number of apples used in each pie.

This is because you don't know how many apples are being used for either recipe except that 3 times the number of apples in the cakes are used in the pies.

3 pies multiplied by x the unknown number of apples used in the cakes.

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