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 the length of a rectangle is 6 inches, and the width is 5 inches. when each dimension is increased by x inches, the area triples. which equation models this situation?

a)(6x)(5x) = 60b)(6x)(5x) = 90c)(x + 6)(x + 5) = 60d)(x + 6)(x + 5) = 90

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.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = 4x^2 - 19x- 5

Suppose you are choosing a 6-digit personal access code. this code is made up of 4 digits chosen from 1 to 9, followed by 2 letters chosen from a to z. any of these digits or letters can be repeated. find the total number of personal access codes that can be formed. 492,804 341,172 39,917,124 4,435,236