Ahotel survey showed that nearly 30% of the guests staying at the hotel were there for personal reasons. the remainder of the guests were at the hotel on business. use the table of randomly generated letters to answer the questions about this scenario. the letter p represents personal reasons, and b represents business reasons.
bbb pbb bpb ppb bbp
bbp pbb ppb pbb bbp
bbp bpb bbb bbb bbb
ppb bpb pbp bpb bbp
bpb pbp ppb pbb bbb
based on this data, the estimated probability that exactly two of the three guests randomly picked were not there for personal reasons is .
the estimated probability that it takes at least four guests to find one who is staying for personal reasons is .

Runners run around the school's football field. the cross country coach determines that the width of the field is seventy yards shorter than the length. part a write an expression that represents the perimeter of the football field. let x represent the length of the football field. include parentheses in your expression. next, write an equivalent expression that does not include parentheses. what property or properties did you use to simplify? explain. part b the cross country coach later determines that the length of the football field is 120 yards. all students must run five laps. using your answer from part a, determine the actual number of yards that each athlete must run in the tryouts. in order to make the team, students must complete the laps in 6 minutes. how quickly must they run each lap?