Larry wants to buy some carpeting for his living room. the length of the room is 3 times the width and the total area of the room is 27 square meters.

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 is the solution to the inequality? 2 3/52 1/15 b< 3 2/15 b> 3 2/15

If tan2a=cot(a+60), find the value of a, where 2a is an acute angle