In a group of 68 students, each student is registered for at least one of three classes – history, math and english. twenty-five students are registered for history, twenty-five students are registered for math, and thirty-four students are registered for english. if only three students are registered for all three classes, how many students are registered for exactly two classes? a. 13b. 10c. 9d. 8e. 7

You hold a diversified $100,000 portfolio consisting of 20 stocks with $5,000 invested in each. the portfolio's beta is 1.12. you plan to sell a stock with b = 0.90 and use the proceeds to buy a new stock with b = 1.50. what will the portfolio's new beta be? do not round your intermediate calculations.

Dr. sperry, a biologist, is using excel to track growth rates of different populations of bacteria. she has a very complex formula in one cell. it begins with “round”. dr. sperry would like to see exactly how excel’s calculation reached the final rounded value that she sees in the cell. what could dr. sperry do to best understand how the calculation was made? try different formulas on her own until she reaches the value shown in excel click on the evaluate formula button in the formulas tab and then click “step in” select the cell and then look at the formula in the formula field of the ribbon remove “round” from the formula in order to see the actual value before rounding

Which of the following is a characteristic that can be used to guide the design of service systems? a. services cannot be inventoried. b. services are all similar. c. quality work means quality service. d. services businesses are inherently entrepreneurial. e. even service businesses have internal services.