Suppose babies born in a large hospital have a mean weight of 3524 grams, and a standard deviation of 282 grams. If 84 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 46 46 grams? Round your answer to four decimal places.

Ardmore farm and seed has an inventory dilemma. they have been selling a brand of very popular insect spray for the past year. they have never really analyzed the costs incurred from ordering and holding the inventory and currently fave a large stock of the insecticide in the warehouse. they estimate that it costs $25 to place an order, and it costs $0.25 per gallon to hold the spray. the annual requirements total 80,000 gallons for a 365 day year. a. assuming that 10,000 gallons are ordered each time an order is placed, estimate the annual inventory costs. b. calculate the eoq. c. given the eoq calculated in part b., how many orders should be placed and what is the average inventory balance? d. if it takes seven days to receive an order from suppliers, at what inventory level should ardmore place another order?

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You are purchasing a bond that currently sold for $985.63. it has the time-to-maturity of 10 years and a coupon rate of 6%, paid semi-annually. the bond can be called for $1,020 in 3 years. what is the yield to maturity of this bond?