Challenge Problem A bike path starts on one side of the parking lot, goes around a small pond, and comes out on the other end of the parking lot. Following the path, a biker rides 100.0 meters directly east, then turns south and rides 200.0 meters. From there, she turns and rides 150.0 meters at an angle of 30.0° south of west. Turning one last time, she rides 250.0 meters at an angle of 60.0° north of west. What is her final displacement (distance and direction) from her starting point? C 9 of 9

High school seniors with strong academic records apply to the nation’s most selective colleges in greater numbers each year. because the number of slots remains relatively stable, some colleges reject more early applicants. suppose that for a recent admissions class, an ivy league college received 2851 applications for early admission. of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. in the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. let e, r, and d represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. suppose a student applies for early admission. what is the probability that the student will be admitted for early admission or be deferred and later admitted during the regular admission process?