Suppose g(x) is a positive continuous function defined for x ≥ 2. determine if each of the statements below can be used to support the conclusion that ∞ g(x) dx 2 converges. (each statement is independent of the others.) (a) b g(x) dx 2 = 1 4 − 1 b2 yes no (b) 0 < g(x) < 1 x3 yes no (c) lim x→∞ g(x) = 0 yes no (d) 0 < g(x) < 1 yes no

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. which of these statements are true? check all that apply. there are 20c3 possible ways to choose three books to read. there are 5c3 possible ways to choose three mysteries to read. there are 15c3 possible ways to choose three books that are not all mysteries. the probability that mariah will choose 3 mysteries can be expressed as . the probability that mariah will not choose all mysteries can be expressed as 1 −