Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-choice test consisting of 23 questions, with each question having four possible answers (a, b, c, or d).

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

Donald has x twenty-dollar bills and 11 ten-dollar bill. how much money does donald have? write your answer as an expression.

If f(x) = 6x – 4, what is f(x) when x = 8? a2 b16 c44 d52