Kings Dominion is offering a coupon for $5 off each regular ticket price. Let x represent the regular ticket price. Let y represent the discounted ticket price. Write an equation in the form y=x+b that represents the relationship between the regular ticket price, x, and the discounted ticket price, y.

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In an improper fraction, is the numerator equal to, less than, or greater than the denominator

An automobile assembly line operation has a scheduled mean completion time, μ, of 12 minutes. the standard deviation of completion times is 1.6 minutes. it is claimed that, under new management, the mean completion time has decreased. to test this claim, a random sample of 33 completion times under new management was taken. the sample had a mean of 11.2 minutes. assume that the population is normally distributed. can we support, at the 0.05 level of significance, the claim that the mean completion time has decreased under new management? assume that the standard deviation of completion times has not changed.