A strength training program was administered to a population of marine recruits. The change in number of push-ups completed between the beginning and end of the program was approximately normally distributed with a mean improvement of 7.2 with a standard deviation of 2.5. What is the probability that a sample of 25 recruits will have a mean improvement of less than 8 push-ups? Round your answer to 3 decimal places.

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)