Suppose you are building a rectangular pen for your goats. you use 400 feet of fencing for the pen. let represent the pen’s length (in feet).
part a: which of the following expressions could represent the width of the pen?
a 2+400 b 200− c 2−400 d 400(2)
part b: find the width of the pen if you make the pen 80 feet long.
part c: find the width and the area of the pen if the length is 90 feet.

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

Find the values of y: 3y^3(y^2+ 2/3y)=0

Lines a and b are perpendicular. if the slope of line a is 3, what is the slope of line b?