An 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 35 degrees, its height, f(x), in feet, can be modeled by f(x) = -0.01x^2+0.7x+5.1, where x is the shot's horizontal distance, in feet, from its point of release.

a. what is the maximum height of the shot and how far from its point of release does it occur?

b. what is the shot's maximum horizontal distance, to the nearest tenth of a foot, or the distance of the throw?

c. from what height was the shot released?

The vice president of programming at nbc is finalizing the prime-time schedule for the fall. she has decided to include a hospital drama but is unsure which of two possibilities to select. she has a pilot called the surgeon and another called critical care. to her make a final decision, a sample of 20 viewers from throughout the united states was asked to watch the two pilots and indicate which show they prefer. the results were that 12 liked the surgeon, 7 liked critical care, and one had no preference. state the decision rule, using the 0.10 significance level. h0: π = 0.50 h1: π ≠ 0.50 1. reject h0 if number of + signs is either < = or > = 2. what is your decision regarding h0? is there a preference for one of the two shows?