The probability that Tom makes a free throw is 0.91. Suppose he gets 12 free throws during a game. Find the probability that he makes: a. exactly 3 free throws b. at least one free throw c. between 8 and 11 free throws d. either 8 or 9 free throws e. at most 3 free throws f. an even number of free throws g. What is the expected value and standard deviation of the number of free throws he will make?

4.0 ft

step-by-step explanation:

4.0 ft

hello from mrbilldoesmath!

answer:

a(n) - a(n-1) -3

discussion:

this ones a bit interesting. given a(n) = 5 - 3n consider this:

a(n-1) = 5 - 3(n-1)

          = (5 - 3n) + 3             => but a(n) = 5 - 3n, the first term

          = a(n)   + 3                 => subtract 3 from both sides

a(n-1) -3 = a(n)  

or

a(n) - a(n-1) -3

you,

mrb

trapezoid

step-by-step explanation:

first i plotted all my points on a grid graph

i made sure all of them were in the correct quadrant

then i saw it was a trapezoid or a quadrilateral