Joel is laying pipe for a sprinkler system before he plants his lawn. the lawn is a rectangle, 15 feet long and 8 feet wide. he needs to lay a piece of pipe that will be run along the diagonal of the lawn. it will divide the area of the lawn into two right triangles. what will be the length of that diagonal piece of pipe?

Abag contains 4 red, 7 blue and 5 yellow marbles. event a is defined as drawing a yellow marble on the first draw and event b is defined as drawing a blue marble on the second draw. if two marbles are drawn from the bag, one after the other and not replaced, what is p(b|a) expressed in simplest form? a. 7/16 b. 7/15 c. 14/16 d. 14/15