Apiggy bank was filled during a calendar year, by a coin placed in it every day except some sundays. if the quantity of coins in the piggy bank is distributed evenly among 6 children, two coins remain. if this quantity is distributed evenly among 7 children, four coins remain. if the quantity of coins in the piggy bank is distributed evenly among 8 children, how many coins will remain?

Find the area of the regular hexagon if a side is 20 cm.

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.

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