A ship travels due South from port A for 1.2 hours to reach Port B and then travels due East for another 1.7 hours to reach Jetty C. It then travels due south to Buoy D which is 18 km away from Jetty C. From Bouy D, it then travels 38 km due West to reach Island E. If the average speed of the ship is 10 km/h, find the shortest distance between i. Port A and Jetty C
ii. Port A and Island E

Which term best describes the association between variables a and b? no association a negative linear association a positive linear association a nonlinear association a scatterplot with an x axis labeled, variable a from zero to ten in increments of two and the y axis labeled, variable b from zero to one hundred forty in increments of twenty with fifteen points in a positive trend.

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 value of cos 30° is the same as which of the following?