Adog owner is told by the veterinarian that his dog, max, is overweight and needs to lose 4 to 5 pounds in order to live a healthy life. the dog weighs 126 pounds when he is put on a special diet to aid in the weight loss. the vet predicts that the diet will allow max to lose 4 ounces per week. max is brought to the vet every 2 weeks for a weight check. write an equation to represent the doctor's prediction, and the relationship between max's weight in pounds, y, and the number of times max's weight is checked, x, in periods of two weeks. reduce all answers to the nearest tenth of a number.
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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.)