Given that cosθ = -11/61 and θ is in Quadrant III, match the following items. 1. sinθ 11/60 2. tanθ -61/11 3. cscθ 60/11 4. secθ -60/61 5. cotθ -61/60

Is the point (0, 8) on the x-axis or y-axis? how do you know?

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?

Keith runs 5 miles in 38 minutes. at the same rate, how many miles would he run in 57 minutes