One focus of a hyperbola is located at (-7, 1). One vertex of the hyperbola is located at
(-6, 1). The center is (-2, 1). What is the equation of the hyperbola?

Using the information in the customer order, determine the length and width of the garden. enter the dimensions. length: feet width: feet

If p(a) = 0.70 and p(b) = 0.20, then a and b are independent events if

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?