Atire company finds that the lifespan for one brand of its tires is normally distributed with a mean of 47,500 miles and a standard deviation of 3,000 miles. if the manufacturer does not want to replace more than 5% of the tires, what should be the approximate number of miles for the warranty? use a ti-83, ti-83 plus, or ti-84 calculator, and round your answer to the nearest integer.