1. Sand is pouring into a conical pile at the rate of 15 cubic feet per minute. The verticle cross-section is an isosceles right triangle. How fast is the height of the pile increasing when the height is 5 feet? 2. At a certain moment the radius of the base of a right circular cone is 8 inches and is increasing at the rate of 5 inches per second, while the height of the cone is 7 inches and is decreasing at the rate of 4 inches per second. Is the volume of the cone increasing or decreasing at that moment and at what rate?

The accompanying table shows the numbers of male and female students in a particular country who received bachelor's degrees in business in a recent year. complete parts (a) and (b) below. business degrees nonbusiness degrees total male 189131 634650 823781 female 169539 885329 1054868 total 358670 1519979 1878649 (a) find the probability that a randomly selected student is male, given that the student received a business degree. the probability that a randomly selected student is male, given that the student received a business degree, is nothing. (round to three decimal places as needed.) (b) find the probability that a randomly selected student received a business degree, given that the student is female. the probability that a randomly selected student received a business degree, given that the student is female, is nothing. (round to three decimal places as needed.)

The given dot plot represents the average daily temperatures, in degrees fahrenheit, recorded in a town during the first 15 days of september. if the dot plot is converted to a box plot, the first quartile would be drawn at __ , and the third quartile would be drawn at link to the chart is here

Let event a = you roll an even number on the first cube.let event b = you roll a 6 on the second cube.are the events independent or dependent? why?