Suppose q and r are independent events. find p(q and r) if p(q) =4/5 and p(r) =4/11

The function a represents the cost of manufacturing product a, in hundreds of dollars, and the function b represents the cost of manufacturing product b, in hundreds of dollars. a(t) = 5t + 2 b(t) = 7t - 2t +4 find the expression that describes the total cost of manufacturing both products, a(t) + b(t). a. 7t^2 - 7t + 2 b. 7t^2 + 3 +6 c. 7t^2 + 7t - 6 d. 7t^2 - 3t + 6

In triangles abc and wxy, a=w and b=x which of the following must be true to prove abc=wxy by the aas theorem? a. ab=bc b. bc=xy c. ab=wx d.

Which of the following correctly justifies statement four of the two column proof? a. corresponding angles theorem b. transitive property of equality c. vertical angle theorem d. substitution property of equality