A scalper is considering buying tickets for a particular game. The price of the tickets is $75, and the scalper will sell them at $150. However, if she can't sell them at $150, she won't sell them at all. Given that the demand for tickets is a binomial random variable with parameters n = 10 and p = 1/2, how many tickets should she buy in order to maximize her expected profit?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)