Two triangles can be formed with the given information. use the law of sines to solve the triangles. c = 67°, a = 21, c = 20

Aboat costs 19200 and decreases in value by 12% per year. how much will it cost in 5 years

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?

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?