Hi,i need assistance with Math assignment. thank you!!

Problems #1-12 Multiple Choice. Problems #13-15 Short Answer. (Work not required to be shown) Problems #16-26 Short Answer with work required to be shown. MULTIPLE CHOICE 1. In Metropolis 700,000 people read the Daily Planet newspaper, 400,000 people read the Daily Bugle newspaper, and 100,000 read both. How many read either the Planet or the Bugle? A. 800,000 B. 1,100,000 C. 500,000 D. 1,000,000 Answer #1. _____ 2. The Jones buy a $310,000 home by putting 20% down and financing the balance with a 30year fixed-rate 3.75% mortgage, compounded monthly. What is the amount of their monthly loan payment to amortize the loan? A. $1435.66 B. $1829.86 C. $1148.53 D. $1463.89 Answer #2. _____ 3. A bag contains 5 red balls, 4 white balls, and 3 black balls. Two balls are drawn without replacement. What is the probability that at least one ball drawn is black? A. 601320.45 B. 61320.27 C. 121320.42 D. 54132 0.41 Answer #3. ______ 4. Assuming a normal distribution, a raw data score whose equivalent z-score is exactly + 1.0 lies how far from the mean of the data set? A. One standard deviation either side of the mean B. One standard deviation to left of the mean C. One standard deviation to right of the mean D. Within one standard deviation either side of the mean Answer # 4. ______ 5. Determine which region corresponds to the feasible region of the system of linear inequalities: 52 4 +3 6 A. Region I B. Region II C. Region III D. Region IV Answer # 5.______________ 6. Find the equation of the line passing through (5, - 2) and (- 9, 6): A. 414=8 B. 4+7=6 C. +=3 D. =7 Answer #6. _______ 7. Identify the single row operation that transforms the matrix as shown: [ 1045 2 | 94.5 ] [ 104 52 | 9 4.5 ] A. 222 B. 0.51+22 C. 2+11 D. 1+22 Answer #7: ___________ 8. Which of the corner points for the system of linear inequalities graphed below minimizes the objective function C = 7x + 3y ? A. (0, 26) B. (2, 6) C. (4, 2) D. (8, 0) Answer #8. _______ For Question 9 and10 A farmer has a plot of land on which she plans to grow wheat and corn. Each acre of wheat requires 4 labor-hours and $20 of capital, and each acre of corn requires 16 labor-hours and $40 of capital. The farmer has at most 800 labor-hours and $2400 of capital available. If the profit from an acre of wheat is $80 and from an acre of corn is $100, how many acres of each crop should she plant to maximize her profit? Let x represent number of acres of wheat planted and y represent number of acres of corn planted. 9. Identify the constraint on labor-hours: A. 16+42400 B. 4+162400 C. 16+4800 D. 4+16800 Answer #9. _______ 10. State the objective function. A. =80+100 B. =100+80 C. =20+40 D. =40+20 Answer # 10. _______ 11. The amount of money you should deposit quarterly in an account paying 8% compounded quarterly in order to have $100,000 after 20 years can be determined using formula for: A. Single-payment, compound interest B. Single-payment, simple annual interest C. Periodic payments: present value of an annuity / installment payment on loan D. Periodic payments: future value of an ordinary annuity Answer #11. _______ 12. Which histogram below accurately reflects 15 survey responses presented in the following frequency table? Answer #12:______________ 13. For the line graphed at left: (This is a short answer, don't need to show the work) 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: ______________________ Answer #13: _________ 14. The March 2016 makeup of the US Senate by party affiliation and gender follows: Democrat (D) Independent (I) Republican (R) Total Male (M) 30 2 48 80 Female (F) 14 0 6 20 Total 44 2 54 100 (Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a single randomly-selected US Senator is: (a) Male and Republican: Answer: ______________ (b) Male or Republican: Answer: ______________ (c) Male given that the selected Senator is Republican: Answer: ___________ 15. Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5}, B = {1,3,4,6}, and C = {2,4,6}. List the members of the following sets: a. () Answer: ______________ b. ( ) Answer: ______________ c. () Answer: ________ SHORT ANSWER (MUST SHOW WORK) 16. You are a restaurant manager. You must pick 12 entrees for your menu. There are 12 meat offerings and 7 poultry offerings to choose from. Order doesn't matter. (a) In how many ways can 12 entrees be randomly selected out of the 19 meat and poultry offerings? Show work. (b) In how many ways can 12 entrees be chosen, if 7 must be meat and 5 must be poultry? Show work. (c) Using your answers to parts (a) and (b), if 12 entrees are randomly selected from the 19 offerings, what is the probability that 7 are meat and 5 are poultry? Round answer to nearest tenthousandth (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. 25= 3 56= 12 18. Find the principal P required to achieve a future amount A = $8000 with an interest rate of 5.6% compounded quarterly for 5 years. Round answer to nearest cent. Show work. 19. A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the customer uses 130 MB, the monthly cost will be $17.80. a. Multiple choice: The linear regression model most closely fitting this data (where c represents monthly plan cost in dollars and d represents MB of data used) is: A. =0.06+10 B. =0.06+10 C. =16.67+10 D. =16.67+10 Answer Letter a: ____________ b. Use the model to predict monthly plan cost if 200 MB are used (round answer to nearest cent if necessary) Show work! c. Fill in the blanks to interpret the slope of the equation: The rate of change of US high school dropout rate with respect to time is ____________________ per ______________. (Include units of measurement.) 20. Bank A pays 3.6% compounded quarterly, while Bank B pays 3.59% compounded monthly. Which bank pays more? Show work 21. According to the Canadian Journal of Information and Library Science (Vol 33, 2009), the probability that workers in Canadian law libraries are satisfied with their job is 0.9. In a random sample of 12 law librarians in Canada, what is the probability that exactly 10 of them are satisfied with their job? Round answer to nearest ten-thousandth (4 places after decimal). Show work 22. The feasible region shown below is bounded by lines - x + 3y = 3, x + y = 4, 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 66, 81, 59, 74, 68, and 66. (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 7.59, what percentage of the data set falls within one standard deviation of the mean? Show work/explanation. A. 34.2% B. 68.4% C. 66.7% D. 83.3% Answer Letter d:___________ 24. In an Asian country, 10% of the families have three children, 25% have two children, 50% have one child, and 15% have no children. On average, how many children are there to a family? 25. Mary McMath surveyed 64 students in a finite math class on what they most recently did for fun. 31 went to the movies, 45 went to the big football game, and 21 went to the movies and the big football game. (a) What is the probability that a randomly selected student went to the movies but not the \"big game\"? Show work. (b) Let M = {students who went to movies} and G = {students who went to the \"big game\"}. Determine the number of attendees belonging to each of the regions I, II, III, IV. Region I: ________ Region II: __________ Region III: _________ Region IV: __________ 26. APPLICATIONS OF SYSTEMS OF LINEAR EQUATIONS A guitar factory has a cost of production C(x) = 75x + 50,000. a. If the company needs to break even after 150 units sold, at what price should they sell each guitar? Round up to the nearest dollar, b. Write the revenue function R(x). Problems #1-12 Multiple Choice. Problems #13-15 Short Answer. (Work not required to be shown) Problems #16-26 Short Answer with work required to be shown. MULTIPLE CHOICE 1. In Metropolis 700,000 people read the Daily Planet newspaper, 400,000 people read the Daily Bugle newspaper, and 100,000 read both. How many read either the Planet or the Bugle? A. 800,000 B. 1,100,000 C. 500,000 D. 1,000,000 Answer #1. _____ 2. The Jones buy a $310,000 home by putting 20% down and financing the balance with a 30year fixed-rate 3.75% mortgage, compounded monthly. What is the amount of their monthly loan payment to amortize the loan? A. $1435.66 B. $1829.86 C. $1148.53 D. $1463.89 Answer #2. _____ 3. A bag contains 5 red balls, 4 white balls, and 3 black balls. Two balls are drawn without replacement. What is the probability that at least one ball drawn is black? A. 60 132 0.45 B. 6 132 0.27 C. 12 132 0.42 D. 54 132 0.41 Answer #3. ______ 4. Assuming a normal distribution, a raw data score whose equivalent z-score is exactly + 1.0 lies how far from the mean of the data set? A. One standard deviation either side of the mean B. One standard deviation to left of the mean C. One standard deviation to right of the mean D. Within one standard deviation either side of the mean Answer # 4. ______ 5. Determine which region corresponds to the feasible region of the system of linear inequalities: 52 4 +3 6 A. Region I B. Region II C. Region III D. Region IV Answer # 5.______________ 6. Find the equation of the line passing through (5, - 2) and (- 9, 6): A. 414=8 B. 4+7=6 C. +=3 D. =7 Answer #6. _______ 7. Identify the single row operation that transforms the matrix as shown: Answer #7: ___________ 8. Which of the corner points for the system of linear inequalities graphed below minimizes the objective function C = 7x + 3y ? A. (0, 26) B. (2, 6) C. (4, 2) D. (8, 0) Answer #8. _______ For Question 9 and10 A farmer has a plot of land on which she plans to grow wheat and corn. Each acre of wheat requires 4 labor-hours and $20 of capital, and each acre of corn requires 16 labor-hours and $40 of capital. The farmer has at most 800 labor-hours and $2400 of capital available. If the profit from an acre of wheat is $80 and from an acre of corn is $100, how many acres of each crop should she plant to maximize her profit? Let x represent number of acres of wheat planted and y represent number of acres of corn planted. 9. Identify the constraint on labor-hours: A. 16+42400 B. 4+162400 C. 16+4800 D. 4+16800 Answer #9. _______ 10. State the objective function. A. =80+100 B. =100+80 C. =20+40 D. =40+20 Answer # 10. _______ 11. The amount of money you should deposit quarterly in an account paying 8% compounded quarterly in order to have $100,000 after 20 years can be determined using formula for: A. Single-payment, compound interest B. Single-payment, simple annual interest C. Periodic payments: present value of an annuity / installment payment on loan D. Periodic payments: future value of an ordinary annuity Answer #11. _______ 12. Which histogram below accurately reflects 15 survey responses presented in the following frequency table? Answer #12:______________ 13. For the line graphed at left: (This is a short answer, don't need to show the work) 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: ______________________ Answer #13: _________ 14. The March 2016 makeup of the US Senate by party affiliation and gender follows: Democrat (D) Independent (I) Republican (R) Total Male (M) 30 2 48 80 Female (F) 14 0 6 20 Total 44 2 54 100 (Report your answers as fractions or as decimal values rounded to the nearest hundredth.) Find the probability that a single randomly-selected US Senator is: (a) Male and Republican: Answer: ______________ (b) Male or Republican: Answer: ______________ (c) Male given that the selected Senator is Republican: Answer: ___________ 15. Let U = {1,2,3,4,5,6,7,8,9,10}, A = {1,2,3,4,5}, B = {1,3,4,6}, and C = {2,4,6}. List the members of the following sets: a. () Answer: ______________ b. ( ) Answer: ______________ c. () Answer: ________ SHORT ANSWER (MUST SHOW WORK) 16. You are a restaurant manager. You must pick 12 entrees for your menu. There are 12 meat offerings and 7 poultry offerings to choose from. Order doesn't matter. (a) In how many ways can 12 entrees be randomly selected out of the 19 meat and poultry offerings? Show work. (b) In how many ways can 12 entrees be chosen, if 7 must be meat and 5 must be poultry? Show work. (c) Using your answers to parts (a) and (b), if 12 entrees are randomly selected from the 19 offerings, what is the probability that 7 are meat and 5 are poultry? Round answer to nearest tenthousandth (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. 25= 3 56= 12 18. Find the principal P required to achieve a future amount A = $8000 with an interest rate of 5.6% compounded quarterly for 5 years. Round answer to nearest cent. Show work. 19. A phone company has a monthly cellular data plan where a customer pays a flat monthly fee of $10 and then a certain amount of money per megabyte (MB) of data used on the phone. If a customer uses 20 MB, the monthly cost will be $11.20. If the customer uses 130 MB, the monthly cost will be $17.80. a. Multiple choice: The linear regression model most closely fitting this data (where c represents monthly plan cost in dollars and d represents MB of data used) is: A. =0.06+10 B. =0.06+10 C. =16.67+10 D. =16.67+10 Answer Letter a: ____________ b. Use the model to predict monthly plan cost if 200 MB are used (round answer to nearest cent if necessary) Show work! c. Fill in the blanks to interpret the slope of the equation: The rate of change of US high school dropout rate with respect to time is ____________________ per ______________. (Include units of measurement.) 20. Bank A pays 3.6% compounded quarterly, while Bank B pays 3.59% compounded monthly. Which bank pays more? Show work 21. According to the Canadian Journal of Information and Library Science (Vol 33, 2009), the probability that workers in Canadian law libraries are satisfied with their job is 0.9. In a random sample of 12 law librarians in Canada, what is the probability that exactly 10 of them are satisfied with their job? Round answer to nearest ten-thousandth (4 places after decimal). Show work 22. The feasible region shown below is bounded by lines - x + 3y = 3, x + y = 4, 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 66, 81, 59, 74, 68, and 66. (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 7.59, what percentage of the data set falls within one standard deviation of the mean? Show work/explanation. A. 34.2% B. 68.4% C. 66.7% D. 83.3% Answer Letter d:___________ 24. In an Asian country, 10% of the families have three children, 25% have two children, 50% have one child, and 15% have no children. On average, how many children are there to a family? 25. Mary McMath surveyed 64 students in a finite math class on what they most recently did for fun. 31 went to the movies, 45 went to the big football game, and 21 went to the movies and the big football game. (a) What is the probability that a randomly selected student went to the movies but not the \"big game\"? Show work. (b) Let M = {students who went to movies} and G = {students who went to the \"big game\"}. Determine the number of attendees belonging to each of the regions I, II, III, IV. Region I: ________ Region II: __________ Region III: _________ Region IV: __________ 26. APPLICATIONS OF SYSTEMS OF LINEAR EQUATIONS A guitar factory has a cost of production C(x) = 75x + 50,000. a. If the company needs to break even after 150 units sold, at what price should they sell each guitar? Round up to the nearest dollar, b. Write the revenue function R(x)