A ship leaves port at 1:00 p. m. and sails in the direction N34°W at a rate of 24 mi/hr. Another ship leaves port at
1:30 p. m. and sails in the direction N56°E at a rate of 18
mi/hr. Approximately how far apart are the ships at 3:00
p. m.? Round answer to the nearest whole mile.
A. 48 miles
B. 130 miles
C. 55 miles
D. 33 miles

y=mx+

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