The average age of teaching staff in a certain institution is 51.0 years old. Assume that the distribution of ages is normal and has a standard deviation of 8.0 years. If 9 teaching staff are chosen at random for a committee, find the probability that the average age of those teaching staff is less than 52.9 years.

University hero is considering expanding operations beyond its healthy sandwiches. jim axelrod, vice president of marketing, would like to add a line of smoothies with a similar health emphasis. each smoothie would include two free health supplements such as vitamins, antioxidants, and protein. jim believes smoothie sales should fill the slow mid-afternoon period. adding the line of smoothies would require purchasing additional freezer space, machinery, and equipment. jim provides the following projections of net sales, net income, and average total assets in support of his proposal. sandwichesonly sandwiches and smoothies net sales $ 750,000 $ 1,350,000 net income 120,000 210,000 average total assets 350,000 750,000 return on assetschoose numerator ÷ choose denominator = return on assets÷ = return on assets÷ = profit margin÷ = profit margin÷ = asset turnover÷ = asset turnover÷ = times

Lucy is catering an important luncheon and wants to make sure her bisque has the perfect consistency. for her bisque to turn out right, it should have the consistency of a. cold heavy cream. b. warm milk. c. foie gras. d. thick oatmeal.

White truffles are a very prized and rare edible fungus that grow naturally in the countryside near alba, italy. suppose that it costs $200 per day to search for white truffles. on an average day, the total number of white truffles (t) found in alba is t = 20x − x 2 , where x is the number of people searching for white truffles on that day. white truffles can be sold for $100 each. if there is no regulation, how many more people will be searching for white truffles than the socially optimal number?