Cheng has a garden pond, which he tops up at the beginning of every week from a 200-liter rain barrel, which is in turn filled by rainwater from a section of his roof. At the beginning of summer both the pond and rain barrel are full. The average weekly summer rainfall where he lives is 5 mm. The section of his roof which collects rain for his barrel has an area of 6 square meters. He uses 60 liters of water per week to top up the pond.

For how many weeks will Cheng have enough water in the rain barrel to top up the pond fully?

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?