A survey of 250 lobster fishermen found that they catch an average of 32.0 pounds of lobster per day with a standard deviation of 4.0 pounds. If a random sample of 36 lobster fishermen is selected, what is the probability that their average catch is less than 31.5 pounds? Assume the distribution of the weights of lobster is normal.

In return for their with optimizing his painting project, the castle servant informed poly and digit that he saw someone dressed as the king leaving behind a trail of crumbs as he walked into the jester's room late last night. poly and digit have finally found the crisp-collecting culprit — it turns out the jester's shoe size and hair color match the clues that were found! in gratitude, poly and digit agree to the servant with his current task of replacing all of the tables and chairs in the castle. his goal is to determine which furniture company should produce the new furniture. he receives information from a company that customizes elegant furniture, and he wants to analyze the company's production process in order to calculate some problems about cost and availability. read the following scenario, and assist poly and digit as they the servant with his calculations. the fit for a king furniture company requires 2020 hours of labor to produce a standard table, and a chair requires 1212 hours of labor. the labor available is 565565 hours per week. the company can produce at most 3535 chairs per week.

Randall's, inc. has 20,000 shares of stock outstanding with a par value of $1.00 per share. the market value is $12 per share. the balance sheet shows $42,000 in the capital in excess of par account, $20,000 in the common stock account, and $50,500 in the retained earnings account. the firm just announced a 5 percent (small) stock dividend. what will the balance in the retained earnings account be after the dividend?

The state troopers in one state have a motto, “nine you’re fine; ten you’re mine,” which is the standard that they use for pulling over speeders on the state highways. in other words, if the posted speed limit is 55 mph, drivers can drive at a rate up to 64 mph without fear of getting a ticket. which of the following best describes the ethical culture in the state? a. the troopers are following a standard of positive law. b. the troopers are following a normative standard. c. the troopers are following a headline test. d. the troopers are following the blanchard/peale standard.