If a cheetah sprinted at maximum speed, how far would the cheetah have traveled? Maximum speed is 70 mph. Minimum speed is 40 mph. Set up an equation to represent the distance the cheetah covered in terms of t minutes running at maximum speed.

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.