The joint distribution for the length of life of two different types of components operating in a system is given by f(y1, y2) = 1 8 y1e−(y1 + y2)/2, y1 > 0, y2 > 0, 0, elsewhere. The relative efficiency of the two types of components is measured by U = Y2 Y1 . Find the probability density function for U. fU(u) = , u ≥ 0 0 , u < 0

Δabc is reflected across line l to form δ alblcl, and a¯¯¯al¯¯¯¯ intersects line l at point d. which equation is not necessarily true?

Liz is shipping a package to her friend. the maximum weight of a medium flat-rate box is 20 pounds, including the box which weighs 6 ounces. write and solve an inequality to describe the possible weight in pounds, w, of the contents that liz will ship to her friend if she must use a medium flat-rate box. use the drop-down menus to explain your answer.

Percent increase and decrease. original number: 45 new number: 18