7#A#!>+>+@+@+@+@@@@ @ @ AAAAA A#A#A#A# Applied II Final Name: Date: Complete the questions on the exam, showing your work and putting a square around your answer. You will have the option of skipping 15 questions without losing any points, but you must circle the question and number the problem from 1 to 15, ( failure to do this will mean the problem will be scored ). Each problem is worth 2 points for a total of 130 points. GIVEN: 1. Scale of the photo is 1"= 400'. 2. The field is 1.5" X 2". 3. 1 acre = 43,560 sq. ft. 4. Photo size is 8.5 x 11 FIND: 1. The area of the field in sq. ft. and acres. 2. The area covered by the complete photo, in sq. miles. 3. Ralphs take-home pay is $2045 each month. Ralph has completed the budget shown below. Find the amount Ralph will have left after he pays his monthly expenses. Rent $475 Utilities $125 Phone $ 46 Cable $ 52 Car Payment $279 Car Expense $ 85 Food $418 Charge Cards $ 78 Solve each of the following problems, showing the steps needed to compute the answer. 4. -4 + (-3) = 5. -23 + 12 = 5. -59 - (-67) = 7. -8 11 = 8. (-3) * (-8) = Write each of the numbers in scientific notation. 9. 1000 10. 10,000,000 11. 0.01 12. 1/1000 Write each of the numbers in decimal form. 2 13. 1.1 x 10 -2 14. 1.11 x 10 7 15. 3.5 x 10 -7 16. 3.5 x 10 Give your answers in scientific notation. 5 -3 17. (1.2 x 10 ) x (3.0 x 10 ) 5 -3 18. (1.2 x 10 ) / (3.0 x 10 ) Give the final answers in scientific notation, with the correct units attached. 23 19. If 6.02 x 10 molecules of a gas weigh 28 grams, what is the average weight of a molecule of the gas? 20. If 1 cubic centimeter of water weighs 1 gram, what is the weight in grams of water in a cylindrical tank that measures 30 meters in diameter and 100 meters in height? 6. The towns water reservoir holds 2,000,000 gallons of water. What is the weight in grams, written in scientific notation, of the water when the reservoir is full? (Note: 1 gallon of water weighs 8 lbs and there are 2.2 lbs to the kilogram.) 22. If 1 cubic centimeter of water weighs 1 gram, what is the volume in cubic centimeters of 2538 kilograms of water? 23 23. One gallon of water weighs 3629 grams. If 18 grams of water contain 6.02 x 10 molecules, how many molecules are in 1 gallon of water? The plans for making a machine part indicate that the length is to be 1.537 inches + 0.002 inch. For this measurement find: 24. The lower limit 21. 25. The upper limit.c2.21. 25. The upper limit; 26. The tolerance interval 27. Whether a part that measures 1.540 inches is acceptable 28. Whether a part that measures 1.536 inches is acceptable Find the number of significant digits in these measurements. 29. 1500 feet 30. 0.2 inch 31. 1.030 cm 32. Which of the following activities always gives an exact answer? a. Estimation b. Rounding c. Counting d. Measuring 1. If you add the loose change you have in your pocket or your purse the result you get ought to be: a. an exact value. 2. b. a close estimate to the exact value. c. c. a number you should round to get the exact value. d. a number that varies, depending on the order in which you add the coins. 1. When you talk about the precision of a measure, you are talking about 2. b. how repeatable the measure is(getting nearly the same value each time). c. the true value of the measure. d. the same thing as the accuracy of the measure. e. how far the measure is from the true value. 1. When you talk about the accuracy of a measure, you are talking about 2. b. how repeatable the measure is. c. how close the measure is to the true value. d. the smallest scale division on a measuring instrument. e. how long it takes to make the measure. Solve the following problems, showing your work. 36. How long is the edge of a cube that has a volume of 300 cubic feet? 37. What is the area of a circle that has a diameter of 7 inches? 38. What is the length of the side of a square that has an area of 225 square feet? 39. 1.3 squared 40. 3.8 cubed Write the following expressions using numbers: 41. The fourth root of 64 42. Eleven cubed 43. The square root of 169 Solve the problems below, showing the mathematical steps you used to solve the problems. 44. Find the circumference of a circle that has a diameter of 13.7 inches. [ C=(P)(d)] 2 45. Find the volume of a cylinder that has a radius of 5.2 ft. And a height of 7.1 ft.. [V=(P)(r )(h)] 46. Convert 40 degrees Celsius to Fahrenheit. [ Fahrenheit =(9/5)( Celsius )+32] 47. Convert 40 degrees Fahrenheit to Celsius. [ Celsius =(5/9)( Fahrenheit -32)] 3 48. Find the volume of a ball that has a diameter of 4 ft.. [V=(4/3)(P)(r )] Write the equations in the slope-intercept form y = mx + b. 49. 5 + y = 4x 7. 6x - 2y = 8 For problems 51 through 53 use the following equation: 3x + 5 = y - 2 51. Rewrite the equation in the slope-intercept form y = mx + b. 52. What is the coefficient of x in the equation? 53. For x = 3, what is the value for y? Use the following set of graphs to answer Problems 54 through 61. 54. Which graphed line - A, B, or C - has the greatest positive slope? 55. Which graphed line - A, B, or C - has a slope nearest 1? 56. Which graphed line - A, B, or C - has a negative slope? 57. What is the ratio of rise to run for graphed line A? 58. What is the ratio of rise to run for graphed line B? 59. What is the y intercept for line C? 60. A straight line is known to have an x intercept of + 4 and a y intercept of -3. Draw this line on the graph. 61. A straight line is known to have an x intercept of zero and a y intercept of zero and a slope of m = - 2. Draw this line on the graph. Define the terms, complete the sentence or supply the missing information. 62. The kind of statistics which results from counting and calculations is called ________________ _______________. 63. The primary use of statistics is to ___________________ what may happen in the future based on what has happened in the past. 64. ______________ statistics make a prediction about the whole on the basis of a part. 65. Measures of central tendency use ___________ ______________ to represent ______________ the numbers in the data. 66. The MEAN of a set of data describes __________________ of all the values. 67. The MEDIAN of a set of data describes __________________ of all the values. 68. The MODE of a set of data describes ______ ____________ ___________ value of all the values. 69. The RANGE in a set of numbers describes the _______________between the ______________ and _____________ value in the set. 70. For data on a normal curve _____% of the data will lie within 1 standard deviation of the mean value of the set. 71. 95 % of the data in a normal curve will lie within ______ standard deviations of the mean value of the set. 72. List the formula for standard deviation. 8. A contractor estimates that the probability she will win a bid for a job is six in ten. What are the odds in favor of her winning? A large ceramic piggy bank has 102 coins in it: 75 pennies, 8 nickels, 12 dimes, and 7 quarters. It is equally likely that any one of the 102 coins will fall out when the bank is turned upside down and shaken. 1. What is the probability that the coin shaken out will be a quarter? 2. 2. What is the probability that the coin shaken out will not be a nickel? 3. What is the probability that the coin shaken out will be either a penny or a dime? 77. A medical researcher groups people according to these categories: male or female; right- or left- handed; under 30, between 30 and 60, or over 60. How many different classifications are possible? 78. The call letters that are used to identify television and radio stations begin with a W or K. How many sets of different letter combinations are possible if each name has 3 more letters? Assume that any one of the 26 letters in the alphabet can be used for each of the three additional letters. 79. How many different three-letter code words can be made if the middle letter of each word is to be a vowel (a, e, i, o, u)? 80. A photo is to be taken of five officers of a club-seated along a bench. How many different seating arrangements are possible?  }~h u~h!FQ4 #)DXaK   > l ! ] d e t u z |~yvs     $$, | _###@  !  FƪrrrrVVVV:,p @P !,p @P !,p @P !,p @P !,p @P !,p @P !,p @P !FGHIJKLMN45\#Ȭttttttttttttt^ P !,p @P !,p @P !,p @P !,p @P !,p @P ! #$%&DUVWX%&5BCSԾjjjjNNNNNNNNN,p @P !,p @P !,p @P !,p @P ! P ! P ! 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