57 n athlete whose event is the shot put releases a shot. When the shot whose path is shown by the graph to the right is released at an angle of 50“, its height, f(x).
odeled by f(x) = -0.02x2 +1.2x + 5.7, where x is the shot's horizontal distance, in feet, from its point of release. Use this model to solve parts (a) through (c) and
nswers using the graph.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

The data set represents the ages of players in a chess club. 27, 34, 38, 16, 22, 45, 54, 60. what is the mean absolute deviation of the data set?

V=x^4-y^4 pick three expressions that can represent the three dimensions of the prism (each in meters)