Assume that two ordered triplets are going to be formed INDEPENDENTLY one after another, using the available set of 7 items. Compute the probability that the first triplet contains a or b (or both) and the second triplet includes at most one of the a or d (neither or one of the given two). Explain your steps briefly, without any unnecessary details.

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Suppose sat writing scores are normally distributed with a mean of 497 and a standard deviation of 109. a university plans to award scholarships to students whose scores are in the top 2%. what is the minimum score required for the scholarship? round your answer to the nearest whole number, if necessary.

Tom is the deli manager at a grocery store. he needs to schedule employee to staff the deli department for no more that 260 person-hours per week. tom has one part-time employee who works 20 person-hours per week. each full-time employee works 40 person-hours per week. write and inequality to determine n, the number of full-time employees tom may schedule, so that his employees work on more than 260 person-hours per week. graph the solution set to this inequality.