A map of a highway has a scale of 2 inches = 39 miles. the length of the highway on the map is 6 inches. there are 11 rest stops equally spaced on the highway, including one at each end. you are making a new map with a scale of 1 inch = 30 miles. how far apart are the rest spots on the new map?

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?