# Multiple Choice Questions

01 / 10 / 2021 Assignment

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2. The feasible region shown below is bounded by lines x + y = 2, 5x – y = 3, and y = 0. Find the coordinates of corner point A. Show work. 23. A network security specialist records the number of incoming e-mails containing links that six randomly-selected network users receive in a day. Numbers are 27, 23, 19, 38, 27, and 22. (a) State the mode (if one exists). (b) Find the median. Show work/explanation. (c) Determine the sample mean. Show work (d) Using the sample mean found in part (c), and given that the sample standard deviation of the data set above is 6.6, what percentage of the data set falls within one standard deviation of the mean? Show work/explanation. (d) _______ A. 34.2% C. 66.7% B. 83.3% D. 68.3% MATH 106 Finite Mathematics 2152-US1-4010-V1 Page 9 of 9 24. You have \$5000 to invest in a single payment. Which is the better investment: 8.7% compounded annually or 8.4% compounded monthly? Show work 25. A dietitian surveyed her group of 100 patients and found that most of them ate fast food yesterday. 45 patients said they ate at “Greasies” yesterday. 55 patients said they ate at “Pluckies” yesterday. 15 patients said they ate at both “Greasies” and “Pluckies” yesterday. (a) What is the probability that a single randomly-selected patient either ate at “Greasies” or at “Pluckies” (but not both) yesterday? Show work. (b) Let G = {patients who ate at “Greasies”} and P = {patients who ate at “Pluckies”}. Determine the number of attendees belonging to each of the regions I, II, III, IV. Region I: ________ Region II: __________ Region III: _________ Region

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