Which expression is equivalent to 1/4 x + 3 - 1/3 x + (-2)? A x + 5
B 1/12 x - 1
C x + 1
D 1 - 1/12 x

D) 1-1/12x

Step-by-step explanation:

1/4x+3-1/3x+(-2)

1/4x-1/3x+3-2

3/12x-4/12x+1

-1/12x+1

1-1/12x

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