1a school has 147 147 third graders. the third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. there are three flavors: mint chip, chocolate, and strawberry. suppose that 60 60 students like (at least) mint chip, 103 103 like chocolate, 50 50 like strawberry, 30 30 like mint chip and strawberry, 40 40 like mint chip and chocolate, 25 25 like chocolate and strawberry, and 18 18 like all three flavors. how many students don't like any of the flavors available?

The hawthorne works was a large western electric factory with 45,000 employees. during the 1920s and 1930s, hawthorne works was the site of some well-known industrial studies. in one of the studies, researchers investigated the impact of different working conditions on worker productivity. prior to the start of the study, researchers secretly measured workers' productivity for several weeks. then researchers chose two workers, who then chose their own teams. the teams were separated from the general workforce and completed their work in different experiment rooms where the researchers could observe them more easily. over a 5-year period researchers manipulated the structure of the workday for each team (number and duration of breaks and number of hours per shift). for each of these changes in working conditions, the researchers measured the effect on productivity. for some conditions, such as frequent short breaks, workers rebelled by intentionally decreasing productivity. why did the researchers secretly measure the workers' productivity before creating the two treatment groups? a, to create similar treatment groups so that a cause-and-effect relationship could be establishedb, to draw conclusions about the productivity of all workers in the plant based on the test groupsc, to directly control for confounding variablesd, to provide a baseline for measuring worker productivity

Management discovers that a supervisor at one of its restaurant locations removes excess cash and resets sales totals throughout the day on the point-of-sale (pos) system. at closing, the supervisor deposits cash equal to the recorded sales on the pos system and keeps the rest. the supervisor forwards the close-of-day pos reports from the pos system along with a copy of the bank deposit slip to the company’s revenue accounting department. the revenue accounting department records the sales and the cash for the location in the general ledger and verifies the deposit slip to the bank statement. any differences between sales and deposits are recorded in an over/short account and, if necessary, followed up with the location supervisor. the customer food order checks are serially numbered, and it is the supervisor’s responsibility to see that they are accounted for at the end of each day. customerchecks and the transaction journal tapes from the pos system are kept by the supervisor for 1 week at the location and then destroyed. what control allowed the fraud to occur?

You invest all the money you earned during your summer sales job (a total of $45,000) into the stock of a company that produces fat and carb-free cheetos. the company stock is expected to earn a 14% annual return; however, 5 years later it is only worth $20,000. turns out there wasn't as much demand for fat and carb-free cheetos as you had hoped. what is the annual rate of return on your investment?