Orders arrive at a Web site according to a Poisson process with a mean of 12 per hour. Determine the following: a) Probability of no orders in five minutes. Round your answer to three decimal places (e. g. 98.765). b) Probability of 3 or more orders in five minutes. Round your answer to three decimal places (e. g. 98.765). c) Length of a time interval such that the probability of no orders in an interval of this length is 0.001. Round your answer to two decimal places (e. g. 98.76). min.

The mean of a set of data is -3.82 and its standard deviation is 2.31. find the z score for a value of 3.99.

Askyscraper is 396 meters tall. at a certain time of day, it casts a shadow that is 332 meters long. at what angle is the sun above the horizon at that time?

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)