Awooden shipping crate that weighs 816 1 b is placed on a loading ramp that makes an angle of 25
with the horizontal. to keep the crate from sliding, a chain is hooked to the crate and to a pole at the
top of the ramp. find the magnitude of the components of the crate's weight (disregarding friction)
perpendicular and parallel to the incline.
a) perpendicular: 816 lb parallel: 25 lb
b) perpendicular: 740 lb parallel: 345 lb
c) perpendicular: 25 lb
parallel: 816 lb
d) perpendicular: 345 lb
parallel: 740 lb

An oil exploration company currently has two active projects, one in asia and the other in europe. let a be the event that the asian project is successful and b be the event that the european project is successful. suppose that a and b are independent events with p(a) = 0.2 and p(b) = 0.8. (a) if the asian project is not successful, what is the probability that the european project is also not successful? (b) what is the probability that at least one of the two projects will be successful? (c) given that at least one of the two projects is successful, what is the probability that only the asian project is successful? (round your answer to three decimal places.)