In answering a question on a multiple choice test, a student either knows the answer or the student just guesses. Suppose that the probability that the student knows the answer is 0.75, and the probability the student doesn’t know the answer and guesses is 0.25. Assuming that there are 5 choices for each multiple-choice question, then we take the probability that the student who guesses will be correct is 1/5 = 0.20. What is the conditional probability that the student knew the answer to a question given that the student answered it correctly?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 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)