If and (f*g)'(1)=6 and g'(1)=-1, then g(1)=
a. 5
b. -7
c. 7
d. 5
e. 8
(note: (f*g)'(1) means the derivitive of f(x)g(x) at x=1)
wow, the answer is 5, but why?
ples show all work and logic (don't just refernce to an online solver)

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?