HELP ME OUT PLEASE! What happens when there are lots more rabbits than there are wolves? Do the rabbits take over and their population live forever? What happens when there are lots more wolves than there are rabbits? Do the wolves take over and their population live forever?

Find the area of the triangle shown 3 by 6

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

The length of a rectangle plus its width is 24 cm. the area is 143 square cm. what are the length and width of the rectangle?