Mario challenged luigi to a 60 second coin rally. luigi had 60 seconds to collect as many coins as possible. after 30 seconds, luigi had collected 14 coins. after 60 seconds, luigi had collected 55 coins. find the slope of the line using luigi's numbers. write your answer as a fraction in simplest form. use the slope formula or explain your answer using rise and run.

Out of five men and five women, we form a committee consisting of four different people. assuming that each committee of size four is equally likely, find the probabilities of the following events: 1. the committee consists of two men and two women 2. the committee has more women than men. 3. the committee has at least one man. for the remainder of the problem assume that alice and bob are among the ten people being considered. 4. both alice and bob are members of the committee.