The height of a cone-shaped container is 15 centimeters and its radius is 14 centimeters. kate fills the container completely with honey. every day kate uses 40 cubic centimeters of honey from the container to make honey cookies. after how many days will the container be completely empty? round your answer to the nearest whole number. (use π = 3.14.)

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