A certain manufacturer guarantees that his machines produce only 5% of defective parts. In order to verify the veracity of this statement, 1000 pieces produced by a machine were analyzed, of which 40 pieces had some type of defect. Build a 95% confidence interval for the proportion of defective parts and discuss the manufacturer's claim.

Three students, javier, sam, and corrine, participated in a fundraiser where people donated a certain amount of money per lap that the student ran. each student also had some initial donations that were collected before the run. the equations that represent each student's total donation, y, based on the number of laps ran, x, is shown below. match each equation with the correct rate of change for that student.