# 1.  Amanufacturer of electronics components produces precis

1. Amanufacturer of electronics components produces precision resistors designed tohave a tolerance of 1%. From quality-control testing, the manufacturer knowsthat about one resistor in six is actually within just 0.3% of its normalvalue. A customer needs two of these more precise resistors. What is theprobability of finding exactly two such resistors among the first four tested?2. TheChoco-Latie Candies company makes candy-coated chocolates, 40% which arered. The production line mixes the candiesrandomly and packages ten per box.a. Whatis the probability that less than four candies in a given box are red?b. Whatis the probability that at least four candies in a given box are red?c. Describea second way of finding the answer to part b.3. Supposethat 65% of families in a town own computers. If ten families are surveyed atrandom. What is the probability that at least five own computers?4. Ninetypercent of a country’s population are right handed. What is the probability that exactly 29people in a group of 30 are left handed?5. Astudent takes a five question multiple-choice quiz. Each question has fourpossible responses. The student guess at random for each question. Calculatethe probability for each possible score on the test from getting 0 correct togetting 5 correct.6. Astudent takes a 5 question multiple-choice quiz. Each question has fourpossible responses. The student guess at random for each question. Calculatethe probability of getting greater than 2 questions correct.7. Overa long period, the proportion of defective items in a manufacturing process is5%. In a random sample of 25, find the probability of a. Nodefectivesb. Exactly2 defectivesc. Morethan 2 defectives8. Acompany makes 1.5 volt batteries and its quality control department estimatesthat 0.7% of the batteries are defective. The batteries are sold in packs of 8.Find the probability that a pack contains no defective batteries.9. Abag contains a large number of balls of which 25% are blue. The rest areyellow. If 7 balls are taken from the bag, find the probability that less than5 are yellow.10. Tenpercent of a country’s population are left handed. What is the probability that more than 28people in a group of 30 are right handed?11. A Ferris wheel has a diameter of 40m. It sits 5m above ground. It makes one complete rotation every 65seconds. Find the equation of the graph?12. A Ferris wheel has a diameter of 48m. It sits 4m above ground. It makes one complete rotation every 55seconds. How high is the Ferris wheel?13. The equation that models the height of a Ferriswheel is as follows: . How tallis the highest point on the Ferris wheel?14. The equation that models the height of a Ferriswheel is as follows: . How tall is the highest point on the Ferriswheel?15. The equation that models the height of a Ferriswheel is as follows: . How long is the Ferris Wheel ride?16. A class has10 boys and 12 girls. The teacher wants to form a committee of 3 students toplan the year-end picnic. Determine the number of committees possible if thereare no boys on the committee.17. A class has 10 boysand 12 girls. The teacher wants to form a committee of 5 students to plan theyear-end picnic. Determine the number of committees possible if there must be 3boys and 2 girls on the committee.18. A store has 25doughnuts, 20 cookies, and 8 cupcakes. Customers can create a party tray choosing 10 doughnuts, 8 cookies and 5cupcakes. In how many ways can this bedone?19. In how many ways can afirst, second, third prize and five identical fourth place prizes be given to20 runners competing in a race?20. In how many more wayscan a group of 15 seniors running for president, vice president, and secretarybe chosen over a group of 12 juniors running for only president and vicepresident?21. If the probability of giving birth to a boy is0.52, what is the probability of giving birth to 3 boys and 1 girl?22. A water tower is located 410 feet from abuilding. From a window in the buildingit is observed that the angle of elevation to the top of the tower is 42degrees and the angle of depression to the bottom of the tower is 25degrees. Approximately how tall is thewater tower?23. Two sides of a triangle measure 14ft and 17ft,respectively. The included angle is72°. Approximately how long isthe third side of the triangle? Round tothe nearest tenth.24. The sides of a triangular lot are 158 ft, 173ft, and 191 ft. Find the measure of theangle opposite the longest side to the nearest tenth of a degree.25. A landscaper wants to plant begonias along theedges of a triangular plot. Two of theangles of the triangle are 95̊ and 40̊. The side between these angles is 80 feet long. What is the perimeter of this triangular plotof land?26. During a figure skating routine, Jackie andPeter skate apart with an angle of 15̊ between them. Jackie skates for 5 meters and Peter skatesfor 7 meters. How far apart are these skaters?27. A triangular playground has sides of lengths 475feet, 595 feet, and 401 feet. What are the measures of the angles between thesides, to the nearest tenth of a degree? Write from least to greatest.28. Frank N. Stine needs to build a wheelchair ramp tothe front porch of his hardware store. If the porch is 2.4 feet high, and the angle at which the ramp is to bebuilt is 22°, how long will the ramp be? Round to nearest foot.29. A tree casts a shadow 21m long. The angle of elevation of the sun is 51°. Whatis the height of the tree? Round to nearest meter.30. FOOTBALL: The winning scores for the first 34 SuperBowls are 35, 33, 16, 23,17, 24, 14, 24, 16, 21, 32, 27, 35, 21, 27, 26, 27,38, 38, 46, 39, 42, 20, 55, 20, 37, 52, 30, 49, 27, 35, 31, 34, and 23.a. Find the range of the data .b. What is the mean of the data?c. What is the median of the data?d. What is the mode of the data?e. Create a histogram with the data using classesof 10.31. NUTRITION:The grams of fat in various sandwiches served by national fast-food restaurantsare listed below: 18, 27, 15, 23, 27, 14,15, 1, 39, 53, 31, 29, 12, 43, 38, 4, 10, 9, 21, 31, 31, 25, 28, 20, 22, 46,15, 31, 16, 20, 30, 8, 18, 15, 7, 9, 5,8a. Whatis the range of the data?b. Whatis the mean of the data?c. Whatis the median of the data?d. Whatis the mode of the data?e. Createa histogram with the data using classes of 10.32. BASEBALL: The greatest numbers of stolen bases for asingle player are listed.Year‘90‘91‘92‘93‘94’95‘96‘97‘98‘99AmericanLeague65586670605475746644NationalLeague77767858395653605872a. Whatis the range of the American League? NationalLeague?b. Whatis the mean of the American League? NationalLeague?c. Whatis the median of the American League? National League?d. Whatis the mode of the American League? NationalLeague?e. Createa histogram using all of the data.33. Acompany tries to develop a cost equation based on the quantity of the productproduced in a day. They collected thefollowing data:QuantityProduced203550658095110Cost642.35766.48858.82928.831005.321078.821140.79a. Determinewhether a linear, quadratic, or exponential function would be a good model forthe data.b. Accordingto the model, how much will producing 195 units cost the company?c. Howany units could be produced for $800?34. Afterwinter break, 3 students came to school sick with the flu. The following table shows the number ofstudents infected with the flu depending on the number of days after the winterbreak.Time (days)051015202530# of infected students36142323219a. Findthe quadratic and quartic model that fit this data. Which model appears to better fit the data?b. Usingthe better model, find the day at which the number of infected students willreach the maximum.c. Whenwill the number of infected students drop to zero?35. Describehow the graph of can be translated to .36. Describethe transformation of to .37. Whichtranslation when applied to the graph of results in the graph of?38. Thegraph of was translated 2 units to the right and 6 units down,resulting in the graph of g(x). Whichfunction represents g(x)?39. Thegraph of was translated 2 units to the right, 7 units up andflipped over the y-axis resulting in the graph of . Which is anequation of ?a. b. c. d. 40. Thefunction was replacedwith resulting inthe function. What is thedistance between the y-intercept of and the y-interceptof?a. 6unitsb. 5unitsc. 3unitsd. 20units 41. Whichtranslation would move the vertex of f(x) up 7 units?a. b. c. d. 42. Thefunction was replacedwith resulting in the function. Whichstatement correctly states what has happened to the graph?a. Thegraph of g(x) has moved 4 units to the left of f(x).b. Thegraph of g(x) has moved 4 units to the right of f(x).c. Thegraph of g(x) has moved 4 units higher than f(x).d. Thegraph of g(x) has moved 4 units lower than f(x).43. Thefunction underwent a translation resulting in the function. Whichdescribes the translation that resulted in g(x)?a. Ashift up 2 unitsb. Ashift down 2 unitsc. Ashift left 2 unitsd. Ashift right 2 units44. Thefunction, was shifted 2 units up, resulting in the functiong(x). What is the y-intercept of g(x)?a. (0,-1)b. (0,-5)c. (0,2)d. (0,5)45. AFerris wheel has a diameter of 80 feet. Riders enter the Ferris wheel at itslowest point, 5 feet above the ground, at time t = 0 seconds. Onecomplete rotation takes 65 seconds. Whatis the equation that models the vertical height of a rider at time t? What isthe maximum height that a rider will go?46. A=__________Period=___________Phase Shift=_________Vertical Shift=_________47. A=__________Period=___________Phase Shift=_________Vertical Shift=_________48. A=__________Period=___________Phase Shift=_________Vertical Shift=_________Usethe figure below to answer the questions #49-51. Round all answers to the nearest wholevalue. Drawing is not to scale.