(06.04 MC) A point M on a segment with endpoints X(1, −2) and Y(10, 3) partitions the segment in a 4:1 ratio. Find M. You must show all work to receive credit. (10 points)

Concerned about campus safety, college officials want to estimate the percentage of students who carry a gun, knife, or other such weapon. how many randomly selected students must be surveyed in order to be 95 % confident that the sample percentage has a margin of error of two percentage points?