Danny is taking a road trip. after 36 miles, he reaches a stretch of highway with a speed limit of 60 miles/hour. danny is trying to figure out the minimum number of hours he’ll need to drive to reach over 300 total miles for the trip, assuming he stays under or at the speed limit. he creates the inequality 60t + 36 ≥ 300, where t is the time elapsed, in hours. what statement is the most accurate? a. danny needs at least 7 hours to drive 300 miles. b. danny may drive 300 miles in 5 hours. c. at 4 hours, danny will have just driven 300 miles. d. it isn’t possible to drive 300 miles before the day is over.

answer: the correct answer is -32

step-by-step explanation:

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

246

step-by-step explanation: