19. tom has a collection of 30 cds and nita has a collection of 18 cds. tom is adding 1 cd a month to his collection while nita is adding 5 cds a month to her collection. find the number of months after which they will have the same number of cds. show your work.

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Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

(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.)