Help with 1-25.
There are 25 problems.
Problems #1-12 are Multiple Choice.
Problems #13-15 are Short Answer. (Work not required to be shown) Problems #16-25 are Short Answer with work required to be shown.
Thank you
MATH [06 Finite Mathematics 2182-OL2-6980 MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually. Neither collaboration nor consultation with others is allowed. Use of instructors' solutions manuals or online problem solving services in NOT allowed. Record your answers and work on the separate answer sheet provided, and upload it into the Final Exam folder in \"Assignments\". DO NOT UPLOAD THIS EXAM! There are 25 problems. Problems #112 are Multiple Choice. Problems #131 5 are Short Answer. (Work not required to be shown) Problems #1 E25 are Short Answer with work required to be shown. MULTIPLE CHOICE 1. At Faber College, 30% of students take Finite Mathematics, 40% take Statistics and 20% take both. What percent of students take neither Finite Mathematics nor Statistics? 1. A. 30% B. 60% C. 50% D. 40% 2. The Monroes buy a $315,000 home by putting 20% down and nancing the balance with a 30-year xed-rate 4.35% mortgage, compounded monthly. What is the total amount of interest paid to the lender over the entire 30-year loan? 2. A. $142,581.60 B. $13,702.50 C. $199,614.86 D. $249,518.57 3. During her four years at college. Niki received A's in 25% of her courses, B's in 55% of her courses, and C's in the remaining 20%. If A = 4, B = 3, and C = 2, nd her grade point average. 3. A. 3.35 B. 3.25 C. 3.15 D. 3.05 4. A normal distribution of raw scores has a mean of 35 and a standard deviation of 4. 68% of the distribution can be found between what two raw scores? 4. A. 43 and 27 B. 31 and 39 C. 35 and 43 D. 27 and 35 Page 1 of m MATH [06 Finite Mathematics 2182-OL2-6980 15. Given the following Venn diagram: List the members of the following sets: a. (AnC) b. (A'nB')nC' c. (AUC)nB Page of\") MATH [06 Finite Mathematics 2182-OL2-6980 5. Determine which region corresponds to the feasible region of the system of linear inequalities: 5x 2y 2 4 A. Region] C. Region III B. Region II D. Region IV 6. As chief nancial ofcer at Apocalyptic Fitness Supply, you track costs and revenue for the daily manufacturing process for your company's top-selling product, the SpineCrusherTM unstoppable elliptical trainer. Daily production costs are dened by C (x) = 200x + 24000 where x = number of units made. R(x) = 400x denes daily revenue where x = number of units sold. How many SpineCrusherTM unstoppable elliptical trainers must be sold daily for the manufacturing process to m ? Pagez om MATH 106 Finite Mathematics 2182-OL2-6980 7' Which of the corner points for the system of linear inequalities graphed below minimizes the objective function C = 5x + 4y '2 A. (0,26) c. (2,6) B. (8, 0) D. (4,2) 8' Find equation of a line parallel to 6x 5y = 8 passing through ( 3, 5): A. 12xr10y=14 B. 5x+6y=48 c. 6x+5y=33 D. 10xe12y=3o 9. 10. A home healthcare agency employs registered nurses (RN 5) and certied nurse's assistants (CNAs). An individual RN performs 100 medical care procedures and 40 patient welfare tasks per month, and an individual CNA performs 15 medical care procedures and 280 patient welfare tasks per month. Enough RNs and CNAs are needed per month to perform at least 500 medical procedures and at least 1500 patient welfare tasks. Monthly labor costs are $16000 per RN and $3000 per CNA. The agency wants to minimize labor costs. Let 1 represent number of RNs employed per month and y represent number of CNAs employed per month. 9. Identify constraint on monthly number of medical care procedures performed: 9. A. 100x + 15y 2 500 C. 15x + 100y 2 500 B. 40x + 280y 2 1500 D. 280x + 403/ 2 1500 10. State the objective function. A. C = 300026 + 16000y C. C = 500x + 150031 B C = 15009: + 500y D. C = 16000:: + 3000}! Page} of\") MATH [06 Finite Mathematics 2182-OL2-6980 SHORT ANSWER, with work re uired to be shown, as indicated. 16. You're at the library to do research for your statistics project. You need 5 sources. There are 7 nite mathematics sources and 11 statistics sources to choose from. Order doesn't matter. (a) How many ways can 5 sources be randomly selected out of the 18 sources? Show work. (b) How many ways can 5 sources be chosen, if 2 must be nite math and 3 must be statistics? Show work. (c) Using your answers to parts (a) and (b), if 5 sources are randomly selected from the 18 sources, what is the probability that 2 are nite math and 3 are statistics? Round answer to nearest ten-thousandth (4 places after decimal) Show work. 17. Solve the system of equations using substitution, elimination by addition, or augmented matrix methods (your choice). Show work. 2x3y: 4 3x+2y= 19 18. Mr. and Mrs. Tran are expecting a baby girl in a few days. They want to put away money for her college education now. How much money should they deposit at the end of each quarter in an account paying 60% compounded quarterly so they will have $120,000 in 18 years to pay for their daughter's educational expenses? Round answer to nearest cent. Show work. Page'l of\") MATH [06 Finite Mathematics 2182-OL2-6980 SHORT ANSWER (work NOT required to be shown) 13. For the line graphed at le: a. Determine the slope: b. Determine y intercept if it exists: c. Express equation in slope- intercept form : d. Express equation in general (standard) form: 141 Use the following table showing political party afliation of each of 66 US Senate members in Jan 2017, and when they are up for reelection: (Source: www.senate.gov) _U_p for Reelection Democrat Republican Total Nov 2018 23 8 33 Nov 2020 l 1 22 33 Total 34 30 66 (Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a single randomly selected senator is: (a) Republican or is up for re-election in November 2018: (b) Republican and is up for re-election in November 2018: (c) up for re-election in November 2018 given that the selected Senator is Republican: Pages of\") MATH [06 Finite Mathematics 2182-OL2-6980 11. The amount of money you should deposit quarterly in an account paying 8% compounded quarterly in order to have $100,000 aer 20 years can be determined using formula for: Ur . Periodic payments: present value of an annuity / installment payment on loan . Periodic payments: future value of an ordinary annuity . Single payment: compound interest . Single payment: simple annual interest 12' Which chart below depicts a histogram of 15 survey responses presented in the following frequency table? Value Frequency 1 X XX XXXXXX XXX XX X Page4 of\") MATH [06 Finite Mathematics 2182-OL2-6980 24. A natural gas company is considering drilling a well in a particular site. It estimates the site will net $300 million if successful (probability of success = 002) and will lose $5 million if unsuccessful (probability = 0.98). What is the expected value return for a well at this site? 25. A survey of 400 consumers revealed the following movie rental preferences: 319 rented from Netixm, 236 rented from Redboxm, and 175 reported renting from both. (a) What is the probability that a randomly selected consumer rented from neither NetixTM nor Redboxm? Show work. (b) Let N = {consumers who rent from Netixm} and R = {consumers who rent from Redboxm}. Determine the number of consumers belonging to each of the regions I, II, III, IV. U Region 1: Region 11: Region [11: Region IV: Page in of\") MATH [06 Finite Mathematics 2182-OL2-6980 22. The feasible region shown below is bounded by lines 2): y = 2, x + y = 2, and y = 0. Find the coordinates of comer 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 186, 117, 122, 153, 122, and 134. (a) State the mode (if one exists). (b) Find the median. Show work/explanation. (0) 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 26.43, 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. 50.0% D' 68.3% Page9 of\") MATH [06 Finite Mathematics 2182-OL2-6980 19. Hydraulic fracturing, or \"fracking\
