Bags of whole coffee beans are filled automatically on a production line. a machine fills each bag so that the weight of coffee beans inside is normally distributed with a mean of 290 grams. the label on the bag, however, states that the weight of coffee beans inside is 283 grams. what is the standard deviation of bags of coffee beans, if 13% of the bags have a weight below what is stated on the label?

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)