It is estimated that 8.2% of americans are diagnosed with diabetes. Suppose a certain diagnostic evaluation will correctly diagnose 96% of adults over 40 with diabetes and incorrectly diagnose 3.5% of all adults over 40 without diabetes. Find the probability that randomly selected adult over 40 that does not have diabetes, and is diagnosed with having diabetes

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)