In january mary starts off with $50 in her checking account. during the month she deposits $235.50 and writes a check totaling $45.50. at the end of the month she decides to take half of the money left in the account and deposit it into her savings account. how much did she deposit in her savings account?

The following frequency table relates the weekly sales of bicycles at a given store over a 42-week period. value01234567frequency367108521(a) in how many weeks were at least 2 bikes sold? (b) in how many weeks were at least 5 bikes sold? (c) in how many weeks were an even number of bikes sold?

Explain how you divide powers with like bases. discuss why the bases have to be the same. how are these rules similar to the rules for multiplying powers with like bases.

(b) suppose that consolidated power decides to use a level of significance of α = .05, and suppose a random sample of 100 temperature readings is obtained. if the sample mean of the 100 temperature readings is x⎯⎯ = 60.990, test h0 versus ha and determine whether the power plant should be shut down and the cooling system repaired. perform the hypothesis test by using a critical value and a p-value. assume σ = 5. (round your z to 2 decimal places and p-value to 4 decimal places.)