you went out to eat with 3 friends and your meal cost 72.50 how much was the bill if 6.75 sale taxes was included

$29.67 each

Step-by-step explanation:

6.75% of $72.50 = $4.90

72.50 + 4.90 = $77.40

15% of 77.40 = 11.61

77.40 + 11.61 = 89.01

89.01 divided by 3 = $29.67 each

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