Understanding Key Concepts in Mathematics and Logic

Critical Thinking 5% ● Inductive and deductive reasoning ● Problem solving Sets and Statements 22% ● Set concepts ● Subsets ● Venn diagrams and set operations ● Venn diagrams with three sets ● Application of sets Logic and Systems of Numeration 10% ● Statements and logical connectives ● Truth tables for negation ● Other bases Number Theory and The Real Number System 23% ● Number theory ● Integers ● Rational numbers ● Irrational numbers ● Real numbers and their properties ● Rules of exponents Algebra, Graphs, and Functions 13% ● Order of operations and solving equations ● Formulas ● Linear inequalities ● Graphing linear equations ● Linear inequalities and systems of linear inequalities ● Solving systems of linear equations The Metric System and Consumer Mathematics 17% ● Basic terms and conversions within the metric system ● Length, area and volume ● Dimensional analysis and conversion to and from the metric system ● Percent, personal loans and simple interest ● Compound interest ● Buying a house with a mortgage Probability and Statistics 10% ● Empirical and theoretical probabilities ● Odds ● Expected value (Valuation) ● Tree diagrams ● Sampling techniques and misuses of statistics ● Frequency distributions and statistical graphs

Certainly! Let's break down each topic and provide brief explanations along with examples: Critical Thinking: Inductive and deductive reasoning: - **Inductive reasoning**: Drawing general conclusions based on specific observations or examples. For example, observing that the sun rises every morning leads to the conclusion that the sun will rise tomorrow morning. - **Deductive reasoning**: Drawing specific conclusions from general premises. For example, if all mammals are warm-blooded, and a dog is a mammal, then you can deduce that the dog is warm-blooded. Problem solving: - The process of finding solutions to complex or challenging situations. - Example: Solving a mathematical word problem such as finding the dimensions of a rectangle given its area and one side length. Sets and Statements: Set concepts: - A collection of distinct objects or elements. - Example: Set A = {1, 2, 3, 4}. Subsets: - A set whose elements are all contained within another set. - Example: Set B = {1, 2} is a subset of Set A above. Venn diagrams and set operations: - Venn diagrams visually represent sets and their relationships. - Set operations include union, intersection, difference, and complement. - Example: Given sets A = {1, 2, 3} and B = {3, 4, 5}, the union of A and B is {1, 2, 3, 4, 5}. Venn diagrams with three sets: - Extending Venn diagrams to represent relationships between three sets. - Example: Venn diagram showing the intersection of three sets A, B, and C. Application of sets: - Sets can be applied in various fields, such as probability, statistics, and computer science. - Example: Using sets to represent the outcomes of a dice roll. Logic and Systems of Numeration: Statements and logical connectives: - Statements are declarative sentences that are either true or false. - Logical connectives include AND, OR, NOT, IF-THEN, etc. - Example: Statement A: "It is raining." Statement B: "It is cold." Truth tables for negation:

- Truth tables display all possible truth values for compound statements based on the truth values of their components. - Example: Truth table for the negation of statement A: "¬A". Other bases: - Numeration systems other than base 10, such as binary (base 2) or hexadecimal (base 16). - Example: Converting the decimal number 13 to binary (1101) or hexadecimal (D). Number Theory and The Real Number System: Number theory: - The study of integers and their properties. - Example: Prime factorization of a number. Integers: - Whole numbers and their negatives, including zero. - Example: {..., -3, -2, -1, 0, 1, 2, 3, ...} Rational numbers: - Numbers that can be expressed as a ratio of two integers. - Example: 3/4, -2/5. Irrational numbers: - Numbers that cannot be expressed as a ratio of two integers. - Example: √2, π. Real numbers and their properties: - All rational and irrational numbers together. - Example: 5, -1.75, √3. Rules of exponents: - Rules governing the manipulation and calculation of exponents. - Example: $a^m \times a^n = a^{m+n}$. Let's go through each of these topics and provide brief explanations along with examples: ### Algebra, Graphs, and Functions: #### Order of operations and solving equations: - The sequence in which mathematical operations should be performed. - Example: Solve $2 \times (3 + 4) - 5$. #### Formulas: - Mathematical expressions representing relationships between variables. - Example: The formula for the area of a rectangle is $A = l \times w$. #### Linear inequalities: - Inequalities involving linear expressions. - Example: $3x + 2 < 10$.

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

#### Graphing linear equations: - Representing linear equations on a coordinate plane. - Example: Graph the equation $y = 2x + 3$. #### Linear inequalities and systems of linear inequalities: - Systems of linear inequalities involve multiple linear inequalities. - Example: Solve the system of inequalities: $2x + y \leq 5$ and $x - y > 3$. #### Solving systems of linear equations: - Finding the values of variables that satisfy multiple linear equations simultaneously. - Example: Solve the system of equations: $2x + y = 5$ and $x - y = 3$. ### The Metric System and Consumer Mathematics: #### Basic terms and conversions within the metric system: - Understanding units of measurement such as meters, grams, and liters. - Example: Convert 2 kilometers to meters. #### Length, area, and volume: - Measurements of one-dimensional, two-dimensional, and three-dimensional space. - Example: Find the volume of a cube with side length 4 meters. #### Dimensional analysis and conversion to and from the metric system: - Converting between different units of measurement using conversion factors. - Example: Convert 500 milliliters to liters. #### Percent, personal loans, and simple interest: - Calculations involving percentages, loans, and simple interest. - Example: Calculate 15% of $200. #### Compound interest: - Interest calculated on the initial principal and also on the accumulated interest from previous periods. - Example: Calculate the compound interest on a $1000 investment with a 5% interest rate over 3 years, compounded annually. #### Buying a house with a mortgage: - Understanding the financial aspects of purchasing a home, including mortgages, down payments, and monthly payments. - Example: Calculate the monthly mortgage payment for a $200,000 loan with a 4% interest rate over 30 years. ### Probability and Statistics: #### Empirical and theoretical probabilities: - Empirical probability is based on observed outcomes, while theoretical probability is based on mathematical analysis. - Example: Rolling a fair six-sided die and calculating the empirical probability of rolling a 3.

#### Odds: - The ratio of the probability of an event occurring to the probability of it not occurring. - Example: The odds of winning a raffle are 1 in 50. #### Expected value (Valuation): - The average value of a random variable over many trials. - Example: Calculate the expected value of rolling a fair six-sided die. #### Tree diagrams: - Visual representations used to calculate probabilities by enumerating all possible outcomes. - Example: Use a tree diagram to find the probability of flipping a coin twice and getting heads both times. #### Sampling techniques and misuses of statistics: - Methods for selecting a subset of individuals or items from a larger population for analysis. - Example: Conducting a random sample survey to estimate the average income of a population. #### Frequency distributions and statistical graphs: - Organizing data into categories and displaying it visually. - Example: Create a histogram to represent the frequency distribution of test scores in a class. These explanations and examples should help you understand the concepts covered in each topic. Practice solving problems related to each area to prepare for your test effectively.

### Multiple Choice Test #### Critical Thinking (5 questions) 1. Which of the following is an example of inductive reasoning? a) All dogs bark, therefore my dog barks. b) If it's raining, then the ground will be wet. c) All squares are rectangles, but not all rectangles are squares. d) Every time I eat peanuts, I sneeze. 2. Deductive reasoning involves: a) Drawing general conclusions from specific observations. b) Drawing specific conclusions from general premises. c) Making educated guesses based on probability. d) None of the above. 3. Which of the following is a problem-solving strategy? a) Making random guesses. b) Breaking a problem down into smaller parts. c) Following the same approach every time. d) Ignoring all other options and sticking with the first idea that comes to mind. 4. In the set {1, 2, 3, 4}, which number is a subset? a) 0 b) 3 c) {1, 2} d) {2, 3, 5} 5. In a Venn diagram representing sets A and B, the intersection represents: a) All elements in set A. b) All elements in set B. c) Elements common to both set A and set B. d) Elements unique to either set A or set B. #### Sets and Statements (22 questions) 6. Which of the following is not a set? a) {apple, orange, banana} b) {2, 4, 6, 8, 10} c) {cat, dog, table, chair} d) 3x - 5 = 10 7. What is the cardinality of the set {apple, banana, orange}? a) 0 b) 1 c) 2 d) 3

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

8. A subset is: a) A set that contains another set. b) A set that is contained within another set. c) A set that has the same elements as another set. d) A set that has no elements. 9. Which of the following is a proper subset of the set {1, 2, 3}? a) {1, 2, 3} b) {1, 3} c) {1, 2, 3, 4} d) {2, 4} 10. In set theory, the complement of a set refers to: a) The set itself. b) All elements not in the set. c) The intersection of two sets. d) The empty set. 11. Which set operation combines all elements from two sets without repetition? a) Union b) Intersection c) Complement d) Subset 12. What does the intersection of two sets represent? a) All elements in either set. b) All elements in both sets. c) All elements unique to one set. d) No elements. 13. In a Venn diagram with three sets, what does the region outside all three sets represent? a) The intersection of all three sets. b) Elements common to all three sets. c) Elements unique to each set. d) No elements. 14. Which of the following represents the union of sets A and B? a) A ∩ B b) A ∪ B c) A ∩̸ B d) A ⊂ B 15. The set of all possible outcomes of an experiment is called: a) A sample space b) A subset c) A union d) An intersection

16. Which of the following is true about disjoint sets? a) They have no elements in common. b) They have all elements in common. c) They have some elements in common. d) They are subsets of each other. 17. Which of the following is not a valid set operation? a) Union b) Intersection c) Subtraction d) Division 18. Which of the following statements about Venn diagrams is false? a) Venn diagrams are used to represent relationships between sets. b) Each region in a Venn diagram represents a set or combination of sets. c) Venn diagrams can only represent two sets at a time. d) Venn diagrams can be used to visualize set operations. 19. A power set of a set refers to: a) The set raised to a power. b) The set of all subsets of the original set. c) The largest element in the set. d) The set of all elements in the universe. 20. What is the universal set in set theory? a) The set with the most elements. b) The empty set. c) The set containing all possible elements under consideration. d) The set containing only integers. 21. If A = {1, 2, 3} and B = {3, 4, 5}, what is A ∩ B? a) {1, 2, 3} b) {3} c) {4, 5} d) {1, 2, 4, 5} 22. Which of the following statements is true about the empty set? a) It contains no elements. b) It contains all elements. c) It is a subset of every set. d) It is a proper subset of every set. 23. If A = {1, 2, 3} and B = {3, 4, 5}, what is A - B? a) {1, 2, 3} b) {3} c) {1, 2} d) {4, 5}

24. Which of the following is true about the intersection of two sets? a) It contains all elements in either set. b) It contains only elements unique to both sets. c) It contains no elements. d) It contains all elements in both sets. 25. Which set operation results in all elements that are unique to one set or the other? a) Union b) Intersection c) Complement d) Difference 26. In set theory, the difference between two sets refers to: a) The union of the sets. b) The intersection of the sets. c) All elements in the first set but not in the second set. d) All elements in the second set but not in the first set. 27. What does the cardinality of a set represent? a) The number of elements in the set. b) The sum of all elements in the set. c) The average of all elements in the set. d) The largest element in the set. 28. Which of the following is an example of a proper subset? a) {1, 2, 3} is a proper subset of {1, 2, 3, 4}. b) {1, 2, 3} is a proper subset of {1, 2, 3}. c) {1, 2, 3} is a proper subset of {4, 5, 6}. d) {1, 2, 3} is a proper subset of the empty set. 29. Which of the following is not an element of the set {x | x is an even number}? a) 2 b) 3 c) 6 d) 8 30. What is the power set of the set {1, 2}? a) {1, 2} b) {} c) {{1}, {2}} d) {{1, 2}}

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

#### Logic and Systems of Numeration (10 questions) 31. Which of the following is a logical connective? a) Square b) And c) Apple d) Happy 32. What is the truth value of "not true"? a) True b) False c) Unknown d) Neither true nor false 33. What does a truth table show? a) The probability of an event. b) The truth value of a compound statement for all possible combinations of truth values of its components. c) The number of elements in a set. d) The dimensions of a geometric figure. 34. Which of the following is a valid logical statement? a) Apples are red. b) Apples are red or oranges are blue. c) Apples are red and oranges are blue. d) All of the above. 35. Which of the following is a logical operator? a) + (addition) b) - (subtraction) c) && (logical AND) d) / (division) 36. What is the truth value of "true and false"? a) True b) False c) Unknown d) Neither true nor false 37. What is the negation of the statement "It is raining"? a) It is not raining. b) It is raining and sunny. c) It is raining or snowing. d) It is raining.

38. Which of the following is the correct symbol for "logical OR"? a) ∧ b) ∨ c) ¬ d) ⊕ 39. Which of the following is a logical statement? a) Today is Wednesday. b) Today is raining. c) Today is Wednesday and it is raining. d) Today is Wednesday or it is raining. 40. Which of the following is the correct symbol for "logical NOT"? a) ∧ b) ∨ c) ¬ d) ⊕ #### Number Theory and The Real Number System (23 questions) 41. What is a prime number? a) A number divisible by 1 and itself. b) A number divisible by 1, itself, and another number. c) A number divisible by 2. d) A number divisible by 3. 42. Which of the following is an integer? a) 1/2 b) √9 c) -5 d) 0.75 43. Which of the following is a rational number? a) √2 b) 0.25 c) π d) √-4 44. What is an irrational number? a) A number that can be expressed as a ratio of two integers. b) A number that cannot be expressed as a ratio of two integers. c) A whole number. d) A number divisible by 1 and itself. 45. Which of the following is a real number? a) √-1 b) 0.5 c) i d) None of the above

46. Which of the following is not a property of real numbers? a) Associative property b) Commutative property c) Distributive property d) Imaginary property 47. What is the absolute value of -5? a) -5 b) 5 c) -25 d) 25 48. What is a fraction in its simplest form called? a) Prime fraction b) Simple fraction c) Lowest terms d) Irreducible fraction 49. What is the result of 2^3? a) 6 b) 8 c) 10 d) 16 50. What is the result of 5^0? a) 0 b) 1 c) 5 d) 25 51. What is the result of (-2)^4? a) -8 b) 8 c) -16 d) 16 52. What is the result of 3^-2? a) 1/9 b) -9 c) 9 d) -1/9 53. Which of the following is equivalent to √16? a) 2 b) 4 c) -4 d) -2

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

54. What is the result of √(-25)? a) 5 b) -5 c) 25 d) -25 55. What is the result of √(9^2)? a) 9 b) 81 c) 3 d) 27 56. What is the result of 2√(16)? a) 2 b) 4 c) 8 d) 32 57. What is the result of 3/4 + 2/3? a) 5/7 b) 1 1/12 c) 2 3/4 d) 1 1/2 58. What is the result of 3/4 - 1/2? a) 1/4 b) 1/2 c) 1 1/4 d) 1 1/2 59. What is the result of 1/2 × 3/4? a) 1/6 b) 3/8 c) 3/4 d) 6/8 60. What is the result of 3/4 ÷ 1/2? a) 3/8 b) 1 1/2 c) 2/3 d) 1 1/4 61. What is the result of 4/5 as a decimal? a) 0.8 b) 1.2 c) 0.04 d) 0.4

62. What is the result of -3/5 as a percentage? a) -60% b) -0.6% c) 60% d) -6% 63. What is the result of 0.3 as a fraction in simplest form? a) 3/10 b) 30/100 c) 3/100 d) 300/1000 64. What is the result of 0.25 as a percentage? a) 0.025% b) 2.5% c) 25% d) 250% 65. What is the result of 20% as a decimal? a) 0.2 b) 2 c) 0.02 d) 0.002 #### Algebra, Graphs, and Functions (13 questions) 66. Which of the following is the correct order of operations? a) Parentheses, exponents, multiplication/division, addition/subtraction b) Addition/subtraction, multiplication/division, exponents, parentheses c) Exponents, parentheses, addition/subtraction, multiplication/division d) Parentheses, multiplication/division, exponents, addition/subtraction 67. What is the solution to the equation $2x + 5 = 15$? a) x = 5 b) x = 7.5 c) x = 10 d) x = 20 68. Which of the following is a linear equation? a) $y = x^2 + 3x + 1$ b) $y = 2x + 3$ c) $y = \frac{1}{x}$ d) $y = \sqrt{x}$ 69. Which of the following is the graph of the linear equation $y = -2x + 4$? a) ![Graph A](image_url) b) ![Graph B](image_url) c) ![Graph C](image_url) d) ![Graph D](image_url)

70. Which of the following is the graph of the linear inequality $y > 2x - 3$? a) ![Graph A](image_url) b) ![Graph B](image_url) c) ![Graph C](image_url) d) ![Graph D](image_url) 71. Which of the following is the solution to the system of linear equations: \[ \begin{cases} 2x + y = 5 \\ x - y = 3 \\ \end{cases} \] a) x = 2, y = 1 b) x = 1, y = 2 c) x = 5, y = 0 d) x = 0, y = 5 72. Which of the following is the graph of the system of linear inequalities: \[ \begin{cases} y \leq 2x + 1 \\ y > -x + 2 \\ \end{cases} \] a) ![Graph A](image_url) b) ![Graph B](image_url) c) ![Graph C](image_url) d) ![Graph D](image_url) 73. Which of the following is the solution to the system of linear equations: \[ \begin{cases} 3x + 2y = 10 \\ x - 3y = 5 \\ \end{cases} \] a) x = 2, y = 4 b) x = 1, y = 3 c) x = 5, y = 0 d) x = 0, y = 5 74. Which of the following is the graph of the linear inequality $y \leq -2x + 4$? a) ![Graph A](image_url) b) ![Graph B](image_url) c) ![Graph C](image_url) d) ![Graph D](image_url)

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

75. Which of the following is the solution to the equation $3x - 2 = 4$? a) x = 2 b) x = 3 c) x = 6 d) x = 8 76. Which of the following is the graph of the linear equation $y = 3x - 2$? a) ![Graph A](image_url) b) ![Graph B](image_url) c) ![Graph C](image_url) d) ![Graph D](image_url) 77. Which of the following is the solution to the equation $\frac{x}{2} = 6$? a) x = 12 b) x = 3 c) x = 18 d) x = 9 78. Which of the following is the graph of the linear inequality $y < 3x + 1$? a) ![Graph A](image_url) b) ![Graph B](image_url) c) ![Graph C](image_url) d) ![Graph D](image_url) #### The Metric System and Consumer Mathematics (17 questions) 79. Which of the following is the base unit for length in the metric system? a) Inch b) Foot c) Meter d) Mile 80. Which of the following is the base unit for mass in the metric system? a) Pound b) Ounce c) Kilogram d) Gram 81. Which of the following is the base unit for volume in the metric system? a) Gallon b) Liter c) Quart d) Pint 82. Which of the following is the abbreviation for millimeter? a) mm b) m c) cm d) km

83. What is 3.5 kilometers in meters? a) 3500 meters b) 350 meters c) 35 meters d) 3.5 meters 84. What is 2000 milliliters in liters? a) 0.2 liters b) 2 liters c) 20 liters d) 200 liters 85. What is 2.5 meters in centimeters? a) 0.25 centimeters b) 25 centimeters c) 250 centimeters d) 2500 centimeters 86. What is 1500 grams in kilograms? a) 1.5 kilograms b) 15 kilograms c) 150 kilograms d) 1500 kilograms 87. What is 3 square meters in square centimeters? a) 300 square centimeters b) 3000 square centimeters c) 30000 square centimeters d) 0.03 square centimeters 88. What is 2 cubic meters in cubic centimeters? a) 2000 cubic centimeters b) 20000 cubic centimeters c) 200000 cubic centimeters d) 0.2 cubic centimeters 89. What is 3 hectares in square meters? a) 3000 square meters b) 30000 square meters c) 300000 square meters d) 0.3 square meters 90. What is 5 liters in milliliters? a) 0.05 milliliters b) 0.5 milliliters c) 5 milliliters d) 500 milliliters

91. What is 2 kilometers per hour in meters per second? a) 0.5 meters per second b) 1 meter per second c) 2 meters per second d) 5 meters per second 92. What is 50% of $100? a) $25 b) $50 c) $75 d) $100 93. If the original price of an item is $80 and it is on sale for 20% off, what is the sale price? a) $16 b) $64 c) $80 d) $96 94. If you deposit $100 into a savings account with an annual interest rate of 5%, how much will you have in the account after one year? a) $95 b) $100 c) $105 d) $110 95. If you borrow $5000 with an interest rate of 8% per year, how much interest will you pay after one year? a) $400 b) $500 c) $600 d) $700 #### Probability and Statistics (10 questions) 96. What is the probability of rolling a 6 on a fair six-sided die? a) 1/6 b) 1/2 c) 1/3 d) 1/4 97. What are the odds in favor of flipping a coin and getting heads? a) 1:1 b) 1:2 c) 1:3 d) 1:4

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

98. What is the expected value of rolling a fair six-sided die? a) 1 b) 3.5 c) 6 d) 7 99. What is the probability of drawing a red card from a standard deck of playing cards? a) 1/2 b) 1/4 c) 1/3 d) 1/13 100. Which of the following is an example of misusing statistics? a) Conducting a survey with a biased sample. b) Using a random sample to estimate population parameters. c) Reporting the median instead of the mean. d) Presenting data accurately and transparently.

Of course! Here's the answer key for the multiple-choice test: #### Critical Thinking (5 questions) 1. a) All dogs bark, therefore my dog barks. (Inductive reasoning) 2. b) Drawing specific conclusions from general premises. (Deductive reasoning) 3. b) Breaking a problem down into smaller parts. (Problem-solving) 4. c) {1, 2} (Subset) 5. c) Elements common to both set A and set B. (Intersection) #### Sets and Statements (22 questions) 6. d) 3x - 5 = 10 7. d) 3 8. b) A set that is contained within another set. 9. b) {1, 3} 10. b) All elements not in the set. 11. a) Union 12. b) All elements in both sets. 13. d) No elements. 14. b) A ∪ B 15. a) A sample space 16. a) They have no elements in common. 17. d) Division 18. c) Venn diagrams can only represent two sets at a time. 19. b) The set of all subsets of the original set. 20. c) The set containing all possible elements under consideration. 21. b) {3} 22. c) It is a subset of every set. 23. c) {1, 2} #### Logic and Systems of Numeration (10 questions) 31. b) And 32. b) False 33. b) The truth value of a compound statement for all possible combinations of truth values of its components. 34. a) Apples are red. 35. c) && (logical AND) 36. b) False 37. a) It is not raining. 38. b) ∨ (logical OR) 39. a) Today is Wednesday. 40. c) ¬ (logical NOT) #### Number Theory and The Real Number System (23 questions) 41. a) A number divisible by 1 and itself. 42. c) -5

43. b) 0.25 44. b) A number that cannot be expressed as a ratio of two integers. 45. b) 0.5 46. d) Imaginary property 47. b) 5 48. d) Irreducible fraction 49. b) 8 50. b) 1 51. d) 16 52. a) 1/9 53. b) 4 54. b) -5 55. c) 3 56. b) 8 57. a) 5/7 58. a) 1/4 59. b) 3/8 60. b) 1 1/2 61. a) 0.8 62. c) 60% 63. a) 3/10 64. c) 25% 65. a) 0.2 #### Algebra, Graphs, and Functions (13 questions) 66. a) Parentheses, exponents, multiplication/division, addition/subtraction 67. c) x = 10 68. b) $y = 2x + 3$ 69. a) ![Graph A](image_url) 70. c) ![Graph C](image_url) 71. a) x = 2, y = 1 72. a) ![Graph A](image_url) 73. b) x = 1, y = 3 74. a) ![Graph A](image_url) 75. a) x = 2 76. b) ![Graph B](image_url) 77. d) x = 9 78. a) ![Graph A](image_url) #### The Metric System and Consumer Mathematics (17 questions) 79. c) Meter 80. c) Kilogram 81. b) Liter 82. a) mm 83. a) 3500 meters 84. a) 0.2 liters 85. c) 250 centimeters

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

86. a) 1.5 kilograms 87. c) 30000 square centimeters 88. c) 200000 cubic centimeters 89. b) 30000 square meters 90. d) 500 milliliters 91. c) 2 meters per second 92. b) $50 93. b) $64 94. c) $105 95. b) $500 #### Probability and Statistics (10 questions) 96. a) 1/6 97. a) 1:1 98. b) 3.5 99. d) 1/13 100. a) Conducting a survey with a biased sample. Make sure to review your answers thoroughly. Good luck!

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Practice test

Related Documents