1. FINAL REVIEW GAME

2. How to Play Split class into teams Split class into teams Every time a problem appears on the screen, each group will work together to find an answer. Every time a problem appears on the screen, each group will work together to find an answer. The first group to raise their hand and have the right answer will receive a point. The first group to raise their hand and have the right answer will receive a point. At the end of the game, whichever group has the most amount of points will be crowned as the winner. At the end of the game, whichever group has the most amount of points will be crowned as the winner.

3. A school yearbook costs $15 per book to produce with an overhead (storage, etc.) of $5500. The yearbook sells for $40. What is the break-even point? A school yearbook costs $15 per book to produce with an overhead (storage, etc.) of $5500. The yearbook sells for $40. What is the break-even point? A)220 B) 2002 A)220 B) 2002 C)310D)120 C)310D)120

4. For a certain commodity the supply equation is given by. At a price of $1, 19 units of the commodity are demanded. If the demand equation is linear and the market price is $4, find the demand equation. For a certain commodity the supply equation is given by. At a price of $1, 19 units of the commodity are demanded. If the demand equation is linear and the market price is $4, find the demand equation. A) D=2p+21B)D=85p+55 A) D=2p+21B)D=85p+55 C) D=3p+87D)D=62p+84 C) D=3p+87D)D=62p+84

5. Solve the system A)x1=-17B)x1=16 A)x1=-17B)x1=16 X2=24 x2=55 X2=24 x2=55 X3=33 x3=85 X4=14 x4=96 C) Infinite SolutionsD) No Solution

6. Solve the System A) Infinite SolutionsC)x=14 A) Infinite SolutionsC)x=14 B) No Solution y=63 B) No Solution y=63 z=26 z=26 D) Not enough sufficient data to answer this question D) Not enough sufficient data to answer this question

7. Advertising vs. Sales: A business would like to determine the relationship between the amount of money spent on advertising and its total weekly sales. Over a period of 5 weeks it gathers the following data. Find the best line to represent the data. Advertising vs. Sales: A business would like to determine the relationship between the amount of money spent on advertising and its total weekly sales. Over a period of 5 weeks it gathers the following data. Find the best line to represent the data. A) Y=2.5X+20.1 A) Y=2.5X+20.1 B) Y=5.6X+88 B) Y=5.6X+88 C)Y=76X+9 C)Y=76X+9 D)Y=35X+43 D)Y=35X+43

8. A factory manufactures 2 products each requiring the use of 3 machines. The first machine can be used at most 70 hours; the second machine at most 40 hours; and the third machine at most 90 hours. The first product requires 2 hours on machine 1, 1 hour on machine 2 and 1 hour on machine 3. The second product requires 1 hour each on machines 1 and 2, and 3 hours on machine 3. If the profit is $40 per unit for the first product and $60 per unit for the second product, find the maximum profit. A factory manufactures 2 products each requiring the use of 3 machines. The first machine can be used at most 70 hours; the second machine at most 40 hours; and the third machine at most 90 hours. The first product requires 2 hours on machine 1, 1 hour on machine 2 and 1 hour on machine 3. The second product requires 1 hour each on machines 1 and 2, and 3 hours on machine 3. If the profit is $40 per unit for the first product and $60 per unit for the second product, find the maximum profit. A) P=2100B)P=1560 A) P=2100B)P=1560 X=15 X=62 X=15 X=62 Y=25 Y=32 C)P=6302D)P=5620 X=15 X=98 Y=55 Y=85

9. Katy wants to buy a bicycle that costs $175 and will purchase it in 9 months. How much should she put in her savings account each month for this if she can get 10% per annum compounded monthly? Katy wants to buy a bicycle that costs $175 and will purchase it in 9 months. How much should she put in her savings account each month for this if she can get 10% per annum compounded monthly? A)20.61B)52.23 A)20.61B)52.23 C)54.11D)18.81 C)54.11D)18.81

10. House Mortgage: A $152,400 loan is taken out at 9.5% for 25 years for the purchase of a house. The loan requires monthly payments. Find the amount of each payment. House Mortgage: A $152,400 loan is taken out at 9.5% for 25 years for the purchase of a house. The loan requires monthly payments. Find the amount of each payment. A)$6325.69B)$1331.51 A)$6325.69B)$1331.51 C)$41265.32D)$7898.36 C)$41265.32D)$7898.36

11. Continuation.. Determine the total amount repaid over the life of the loan. Determine the total amount repaid over the life of the loan. A) $399,453C)$542,963 A) $399,453C)$542,963 B) $963,254D)$349,528 B) $963,254D)$349,528

12. Brian deposited $100 a month into an account paying 9% interest per annum compounded monthly for 40 years. What is the largest amount he may withdraw monthly for the next 25 years? Brian deposited $100 a month into an account paying 9% interest per annum compounded monthly for 40 years. What is the largest amount he may withdraw monthly for the next 25 years? A)$3928.55B)$2516.36 A)$3928.55B)$2516.36 C)3695.45D)$4530.41 C)3695.45D)$4530.41

13. Find the total amount (interest plus principal) on $12,000 invested for 8 months at 7% compounded monthly. Find the total amount (interest plus principal) on $12,000 invested for 8 months at 7% compounded monthly. A)$12,571.57B)$69,789.23 A)$12,571.57B)$69,789.23 C)$11,265.36D)$83,105.64 C)$11,265.36D)$83,105.64

14. Five people are to line up for a group photo. If 2 of them refuse to stand next to each other, in how many ways can the photo be taken? Five people are to line up for a group photo. If 2 of them refuse to stand next to each other, in how many ways can the photo be taken? A)45B)63 A)45B)63 C)72 D)12 C)72 D)12

15. In a marketing survey, consumers are asked to give their first three choices, in order of preference, of 9 different drinks. In how many ways can they indicate their choices? In a marketing survey, consumers are asked to give their first three choices, in order of preference, of 9 different drinks. In how many ways can they indicate their choices? A) 504B)652 A) 504B)652 C)495D)630 C)495D)630

16. If the class consists of 10 girls and 5 boys, how many different groups of 4 are made up of 2 boys and 2 girls? If the class consists of 10 girls and 5 boys, how many different groups of 4 are made up of 2 boys and 2 girls? A)563B)436 A)563B)436 C)450D)604 C)450D)604

17. How many were surveyed? A survey of freshman calculus students at a certain university showed the following graphics calculator use: A survey of freshman calculus students at a certain university showed the following graphics calculator use: 21 use TI13 use TI and Casio 21 use TI13 use TI and Casio 45 use Casio14 use HP and TI 45 use Casio14 use HP and TI 24 use HP 15 use Casio and HP 24 use HP 15 use Casio and HP 1 use none 8 use all three 1 use none 8 use all three A)78B)57 A)78B)57 C)45D)32 C)45D)32

18. If A1, A2, and A3 form a partition of a sample space S and A1=.2, A2=.4, A3=.4 and if E is an event of S for which P(E|A1)=.01, P(E|A2)=.02, and P(E|A3)=.01. Find P(A1|E). If A1, A2, and A3 form a partition of a sample space S and A1=.2, A2=.4, A3=.4 and if E is an event of S for which P(E|A1)=.01, P(E|A2)=.02, and P(E|A3)=.01. Find P(A1|E). A).143B).264 A).143B).264 C).064C).894 C).064C).894

19. Four percent of the items coming off an assembly line are defective. If the defective items occur randomly and ten items are chosen for inspection, what is the probability that exactly two items are defective? Four percent of the items coming off an assembly line are defective. If the defective items occur randomly and ten items are chosen for inspection, what is the probability that exactly two items are defective? A).0519B).3164 A).0519B).3164 C).8792D).1546 C).8792D).1546

20. In a lottery, 1000 tickets are sold at $0.25 each. There are 3 cash prizes: $100, $50, and $30. Alice buys 5 tickets. What would have been a fair price for a ticket? In a lottery, 1000 tickets are sold at $0.25 each. There are 3 cash prizes: $100, $50, and $30. Alice buys 5 tickets. What would have been a fair price for a ticket? A).018B).18 A).018B).18 C).96D).52 C).96D).52

21. Find a Z-score such that 10% of the area under the curve is to the left of the score. Find a Z-score such that 10% of the area under the curve is to the left of the score. A)1.28B)-8.96 A)1.28B)-8.96 C)-1.28D).23 C)-1.28D).23

22. An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of the individuals known to have this type of cancer and in 15% of the individuals known to be cancer-free. One hundred individuals volunteer to take the test. Of the 100, 60 are known to have cancer and 40 are known to be cancer-free. If the test indicates that a randomly chosen individual has the cancer, what is the probability that he or she is cancer-free? An experimental test to detect a particular type of cancer indicates the presence of cancer in 90% of the individuals known to have this type of cancer and in 15% of the individuals known to be cancer-free. One hundred individuals volunteer to take the test. Of the 100, 60 are known to have cancer and 40 are known to be cancer-free. If the test indicates that a randomly chosen individual has the cancer, what is the probability that he or she is cancer-free? A).10B).90 A).10B).90 C).12D).65 C).12D).65

23. The time spent in a waiting line at a supermarket is known to be normally distributed with a mean of five minutes and a standard deviation of 30 seconds (0.5 minutes). Determine the probability that a randomly chosen customer will spend between 4.5 and 6.5 minutes in line. The time spent in a waiting line at a supermarket is known to be normally distributed with a mean of five minutes and a standard deviation of 30 seconds (0.5 minutes). Determine the probability that a randomly chosen customer will spend between 4.5 and 6.5 minutes in line. A).65B).12 A).65B).12 C).84D).32 C).84D).32

24. THANKS FOR PLAYING!

25. ANSWER KEY A A A B A A D B A A A C A C B A A B C A C