Assume a mature sequoia tree requires at least 0.6 m^2 of exterior canopy area per cubic meter of trunk volume. Also assume that the canopy can be modeled by a cone whose slant height is 4 times its radius, and that the trunk of the tree can be modeled by a cone whose height is 12 times its diameter. What is the minimum base radius of canopy required for a sequoia with trunk diameter 5 m? Round your answer to the nearest tenth.

Abby is preparing fruit punch for her party. she starts with a bowl filled with liquid that has 1/2 fruit juice and 1/2 sprite, but she decides it's too fruity. so she pours out 1/4 of the liquid, and then fills the bowl up again with sprite. what fraction of the punch is now sprite?

An optical inspection system is used to distinguish among different part types. the probability of a correct classification of any part is 0.92. suppose that three parts are inspected and that the classifications are independent. let the random variable x denote the number of parts that are correctly classified. determine the probability mass function of x. round your answers to four decimal places (e. g. 98.7654). x f(x) 0 1 2 3

Which statement accurately describes how to perform a 90° clockwise rotation of point a (1,4) around the origin?