A group of friends will host a party and split the cost of food and supplies evenly. The cost that each person will pay is inversely proportional to the number of friends who decide to host. If five friends host the party, each person pays $12 for food and supplies. Write an equation that describes the relationship between cost (c) that each host pays and the number of hosts (h).

Consider symmetrically placed rectangular insulators with uniformly charged distributions of equal magnitude as shown. x y −−−−−− what is the direction of the net field at the origin?

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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.