MTH 201 Applied Mathematics Sample Final Exam Questions. 1. The augmented matrix of a system of equations (in two variables) is:
|
|
- Dominic Robbins
- 6 years ago
- Views:
Transcription
1 MTH 201 Applied Mathematics Sample Final Exam Questions 1. The augmented matrix of a system of equations (in two variables) is: Which of the following is true about the system of equations? (a) The system of equations has a unique solution. (b) The system of equations has infinite solutions. (c) The system of equations has no solutions. (d) Not enough information to answer the question 2. Which of the following is the augmented matrix of the system of equations? 2 7 = + =0 = (a) (b) (c) (d) Let = Findthematrixafterthesequence of row transformations (2) and ( ) on (a) (b) (c)
2 (d) Let = and = What is the (1 ) entry of 2? (a) 7 (b) 17 (c) 12 (d) 9 5. Let = and = What is the (2 ) entry of? (a) 6 (b) 0 (c) 24 (d) (2 ) entry of does not exist (e) None of the above 6. The reduced form of the augmented matrix of a system of equations in the variables and is Which of the following is a solution of the system of equations? (a) ( 2 ) where is any real number. (b) ( + 2 ) where is any real number. (c) ( 2 ) where is any real number. (d) The system of equations has no solution. (e) none of these 7. The reduced form of the augmented matrix of a system of equations in the variables and is Which of the following is true about the system of equations? (a) A solution of this system of equation is of the form ( ) where is any real number (b) A solution of this system of equation is of the form (2+ 4) where is any real number (c) A solution of this system of equation is of the form ( ) where is any real number (d) The system of equations has no solution. (e) None of the above 2
3 8. The graph of an inequality is Find the inequality. (a) + (b) (c) (d) + 9. Which of the following is the feasible region (set) of the system of inequalities? (a) Y X
4 (b) Y X (c) Y X (d) Y X 4
5 10. The corner points of the feasible region (set) of a linear programming problem are given in the following figure. What is the maximum value of the objective function +2 inthefeasibleregion? Y A(,1) 2 1 B(2, ) C(2,) X (a) 8 (b) 10 (c) 0 (d) A feasible set is described by the following inequalities: Which of the following is a corner point of the feasible region? (a) (1 1) (b) (0 2) (c) (2 1) (d) Suppose that the constraints of a linear programming problem include the inequalities 0 and 0 The feasible (solution) set of the linear programming problem is restricted to which of the following quadrants. (a) I quadrant (b) II quadrant (c) III quadrant (d) IV quadrant 1. A company manufactures two ballpoint pens, silver and gold. The silver requires 1 min in a grinder and 7 mininabonder. Thegoldrequires2 min in a grinder and 10 min in a bonder. The grinder can be run no more than 1000 minutes per week and the bonder no more than 5600 minutes per week. The company makes a $4 profit oneachsilverpensoldand$7 on each gold. How many of each type should be made each week to maximize profits? (a) 0 silver and 500 gold (b) 50 silver and 00 gold (c) 00 silver and 50 gold (d) 560 silver and 0 gold 5
6 14. Suppose that $4 414 are invested at the simple interest rate of 10% What is the interest for 5 months? (Round your answer to two decimal places.) (a) $18 92 (b) $ (c) $147 1 (d) $ Find the amount of the monthly payment necessary to amortize the following: Loan amount $5 000; interest 6% per year compounded monthly; for 8 years. (Round your answer to two decimal places.) (a) $ (b) $ (c) $ (d) $ Jason took out a loan, to buy a new plasma TV, for years at the interest rate of 9 6% per year compounded monthly. His monthly payment is $57 74 After making 25 payments, he decided to pay off the remaining loan. What is the amount of his unpaid balance? (Round your answer to two decimal places.) (a) $ (b) $ (c) $ (d) $ Suppose that $6 000 are invested at 6 4% interest per year compounded quarterly for 5 years? How much interest is earned at the end of 5 years? (Round your answer to two decimal places.) (a) $ (b) $ (c) $ (d) $ Justin deposits $50 at the end of every week in an account that pays 7 8% interest per year compounded weekly. How much money is in the account at the end of 5 years? (Round your answer to two decimal places.) (a) $ (b) $ (c) $ (d) $
7 19. An account pays 9% interest per year compounded semiannually. What is the effective rate? (Round your answer to two decimal places.) (a) 9 8% (b) 9 00% (c) 9 20% (d) 9 1% 20. Let represents a false statement, represents a true statement, and represents a false statement. What is the truth value of the statement: ( ) ( ( )) (a) True (b) False (c) Not enough information to evaluate the statement. (d) None of these 21. Use DeMorgan s law to write the negation of the following statement. I did not pay my rent and I went to the football game. (a) I paid my rent and I did not go to the football game. (b) I did not pay my rent and I did not go to the football game. (c) I paid my rent or I did not go to the football game. (d) IdidnotpaymyrentorIdidnotgotothefootballgame. 22. What is the contrapositive of the statement: Orange juice contains vitamin C. (a) If it contains vitamin C, then it is not orange juice (b) If it does not contain vitamin C, then it is not orange juice. (c) If it contains vitamin C, then it is orange juice. (d) If it does not contain vitamin C, then it is orange juice 2. Which of the following is the truth table of the statement ( ) (a) (b) (c) ( ) ( ) ( ) 7
8 ( ) (d) (e) None of the above 24. Determine whether the following statements are equivalent? ( ) and (a) Equivalent (b) Not equivalent (c) Not enough information to decide (d) None of the above 25. Determine if the following argument is valid. If Bill is a gambler, then he lives in Las Vegas. If Bill lives in Las Vegas, then Bill has a dog. Bill does not have a dog. Therefore, Bill is not a gambler. (a) The argument is valid. (b) The argument is not valid. (c) Not enough information to decide. (d) None of these 26. Let = { } Find the number of subsets of (a) 8 (b) 4 (c) 15 (d) Let be sets. Which of the following is the Venn diagram of the set ( ) 0 A B A B C C (a) (b) A B A B C C (c) (d) 8
9 28. Let and be subsets of a universal set such that ( ) =50 ( ) =9 and ( ) =80 What is ( )? (a) 9 (b) 7 (c) 41 (d) A survey of 150 students was done to find out the language classes they were taking. Let be the set of students taking Spanish, be the set of students taking French, and be the set of students taking Latin. The survey revealed the following information: ( ) = 45; ( ) = 55; ( ) = 40; ( ) = 12; ( ) = 15; ( ) = 2; ( ) =2 How many students were not taking any of these languages? (a) 60 (b) 58 (c) 68 (d) A die is rolled twice. Find the event that the sum of the numbers rolled is either 4 or 5 (a) {(2 2) (2 )} (b) {(1 ) ( 1) (2 2) (1 4) (4 1) (2 ) ( 2)} (c) {(1 ) (1 4) (2 2) (2 )} (d) {(2 2) ( 1) ( 2) (4 1)} 1. Each letter of the word is written on a different card and the cards are placed in a bag. One card is drawn at random. What is the probability that the drawn card shows an (a) 1 4 (b) 11 1 (c) 11 (d) A bag contains 5 red, 2 yellow, and 4 blue marbles. One marble is drawn at random. Find the odds in favor of drawing a blue marble. (a) 1 to 4 (b) 4 to 11 (c) 7 to 11 (d) 4 to 7 9
10 . Let and be events in a sample space such that Pr[ ] =0 40 Pr[ ]=0 6 and Pr[ ]=0 24 Find Pr[ ] (a) 1 00 (b) 0 76 (c) 0 52 (d) 0 9 (e) None of the above. 4. Find the number of ways to select five cards from a deck of 52 cards such that 2 are aces and are face cards. (Only picture cards are face cards.) (a) (4 2) (12 ) (b) (4 2) + (12 ) (c) (16 5) (d) (16 ) 5. Find the number of distinct permutations of the letters of the word (a) (b) (c) (d) A debate club contains 6 students from Arts and Sciences, students from Business Administration, and 2 from the Law school. To participate in the next debate competition, students are selected at random. Find the probability that 1 student is from Arts and Sciences and 2 arefromthelawschool. (Round your answer to four decimal places.) (a) (b) (c) (d)
11 7. At a Humane Society, 0% of the dogs are considered large, 45% are medium, and 25% are small. Some of the dogs have been raised as outside dogs, those that are not allowed inside the owner s house. The rest are allowed to come inside. The percents of animals in each category are summarized on the following tree. Large 0.50 outside in or out 0.45 Medium outside in or out outside Small 0.80 in or out A dog is selected at random. What is the probability that the dog is a small outside dog? (a) 0 25 (b) 0 20 (c) 0 05 (d) Refer to the tree diagram of Exercise 7. A dog is selected at random. If the dog selected is medium sized, what is the probability that it is an in or out dog? (a) 0 45 (b) 0 60 (c) 0 27 (d) Of groundhogs living in a Midwestern state, 70% hibernate all winter. Forty percent are afraid of their own shadows, and 28% both hibernate and fear their own shadows. A groundhog is chosen at random. If the groundhog fears its shadow, what is the probability that it hibernates? (a) 0 40 (b) 0 70 (c) 0 28 (d)
12 40. Of groundhogs living in a Midwestern state, 70% hibernate all winter. Forty percent are afraid of their own shadows, and 28% both hibernate and fear their own shadows. Which of the following statements is true regarding the events the groundhog hibernates all winter and the groundhog does not fear its shadow.? (a) The events are mutually exclusive. (b) The events are independent. (c) The events are not independent. (d) The events are pairwise discreet. statements is true. 41. Of the outstanding bills at a local dentist s office, only 22% of those over 90 days overdue are expected to be paid. Six bills are chosen at random. What is the probability that 2 of these bills will be paid? (a) (b) 0 5 (c) (d) Find the mean. Round your answer to the nearest tenth. Value Frequency (a) 20 1 (b) 40 2 (c) 9 8 (d) Find the median of the following data: (a) 5 (b) 1 (c) 25 (d) Find the total area under the standard normal curve between the -scores =0 60 and =1 98 (a) 2 58 (b) 1 8 (c) (d)
13 45. Find the -score satisfying the following condition: 25 78% area is to the right of (a) 0 65 (b) 0 65 (c) 1 65 (d) Suppose that a fair coin is tossed 500 times. Use a normal approximation to a binomial distribution to find the following probability: Less than or equal to 20 tosses are heads. (Round your answer to three decimal places.) (a) 0 07 (b) (c) (d) Suppose that two percents of the MP players manufactured are defective. Find the probability that in a shipment of MP players exactly 225 are defective. (a) (b) (c) (d)
14 Answers: FormA 1. B 2. A. B 4. C 5. A 6. B 7. B 8. D 9. D 10. A 11. D 12. A 1. C 14. A 15. C 16. B 17. C 18. D 19. C 20. A 21. C 22. B 2. C 24. B 25. A 26. D 27. A 28. A 29. B 0. B 1. B 2. D. C 14
15 4. A 5. B 6. B 7. C 8. B 9. B 40. B 41. E 42. A 4. D 44. C 45. A 46. C 47. A 15
1. Solve the following system of equations. 5x + y = 2z 13 3x + 3z = y 4y 2z = 2x + 12
Math 166 Final Exam Review Note: This review does not cover every concept that could be tested on a final. Please also take a look at previous Week in Reviews for more practice problems. Every instructor
More information1. Determine whether each of the following stochastic matrices is a transition matrix for a Markov process that is regular, absorbing, or neither.
Math 166 Final Exam Review Note: This review does not cover every concept that could be tested on a final. Please also take a look at previous Week in Reviews for more practice problems. Every instructor
More informationExam III Review Math-132 (Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 8.1, 8.2, 8.3)
1 Exam III Review Math-132 (Sections 7.1, 7.2, 7.3, 7.4, 7.5, 7.6, 8.1, 8.2, 8.3) On this exam, questions may come from any of the following topic areas: - Union and intersection of sets - Complement of
More informationTopic 5 Part 3 [257 marks]
Topic 5 Part 3 [257 marks] Let 0 3 A = ( ) and 2 4 4 0 B = ( ). 5 1 1a. AB. 1b. Given that X 2A = B, find X. The following table shows the probability distribution of a discrete random variable X. 2a.
More informationMATH FOR LIBERAL ARTS FINAL REVIEW
MATH FOR LIBERAL ARTS FINAL REVIEW Find the value of the annuity. Round to the nearest cent. A = P 1 + r n r n nt - 1 P = A r n 1 + r n nt - 1 1) Periodic Deposit: $100 at the end of each year Rate: 5%
More informationRecord your answers and work on the separate answer sheet provided.
MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually.
More informationUNIVERSITY OF KWA-ZULU NATAL
UNIVERSITY OF KWA-ZULU NATAL EXAMINATIONS: June 006 Solutions Subject, course and code: Mathematics 34 MATH34P Multiple Choice Answers. B. B 3. E 4. E 5. C 6. A 7. A 8. C 9. A 0. D. C. A 3. D 4. E 5. B
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) Find the line passing through the two points. Write the equation
More informationIntermediate Math Circles November 8, 2017 Probability II
Intersection of Events and Independence Consider two groups of pairs of events Intermediate Math Circles November 8, 017 Probability II Group 1 (Dependent Events) A = {a sales associate has training} B
More informationMath SL Day 66 Probability Practice [196 marks]
Math SL Day 66 Probability Practice [96 marks] Events A and B are independent with P(A B) = 0.2 and P(A B) = 0.6. a. Find P(B). valid interpretation (may be seen on a Venn diagram) P(A B) + P(A B), 0.2
More information(a) Fill in the missing probabilities in the table. (b) Calculate P(F G). (c) Calculate P(E c ). (d) Is this a uniform sample space?
Math 166 Exam 1 Review Sections L.1-L.2, 1.1-1.7 Note: This review is more heavily weighted on the new material this week: Sections 1.5-1.7. For more practice problems on previous material, take a look
More informationAnswers Only VI- Counting Principles; Further Probability Topics
Answers Only VI- Counting Principles; Further Probability Topics 1) If you are dealt 3 cards from a shuffled deck of 52 cards, find the probability that all 3 cards are clubs. (Type a fraction. Simplify
More informationMATH 1310 (College Mathematics for Liberal Arts) - Final Exam Review (Revised: Fall 2016)
MATH 30 (College Mathematics for Liberal Arts) - Final Exam Review (Revised: Fall 206) This Review is comprehensive but should not be the only material used to study for the Final Exam. It should not be
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1332 Exam Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Find the cardinal number for the set. 1) {8, 10, 12,..., 66} 1) Are the sets
More informationIf S = {O 1, O 2,, O n }, where O i is the i th elementary outcome, and p i is the probability of the i th elementary outcome, then
1.1 Probabilities Def n: A random experiment is a process that, when performed, results in one and only one of many observations (or outcomes). The sample space S is the set of all elementary outcomes
More informationExam III #1 Solutions
Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Exam III #1 Solutions November 14, 2017 This exam is in two parts on 11 pages and
More informationMTH302 Quiz # 4. Solved By When a coin is tossed once, the probability of getting head is. Select correct option:
MTH302 Quiz # 4 Solved By konenuchiha@gmail.com When a coin is tossed once, the probability of getting head is. 0.55 0.52 0.50 (1/2) 0.51 Suppose the slope of regression line is 20 and the intercept is
More informationName: Exam 2 Solutions. March 13, 2017
Department of Mathematics University of Notre Dame Math 00 Finite Math Spring 07 Name: Instructors: Conant/Galvin Exam Solutions March, 07 This exam is in two parts on pages and contains problems worth
More informationLesson One Hundred and Sixty-One Normal Distribution for some Resolution
STUDENT MANUAL ALGEBRA II / LESSON 161 Lesson One Hundred and Sixty-One Normal Distribution for some Resolution Today we re going to continue looking at data sets and how they can be represented in different
More informationName: Practice Final Exam May 8, 2012
Math 00 Finite Math Practice Final Exam May 8, 0 Name: Be sure that you have all 7 pages of the test. The exam lasts for hours. The Honor Code is in effect for this examination, including keeping your
More informationMath 1313 Course Objectives. Chapter.Section Objective and Examples Week Covered 1.2 Slopes, Equations of a line.
Math 1313 Course Objectives 1.2 Slopes, Equations of a line. Example: Find the equation of the line, in pointslope form and slope-intercept form, that passes through (3, 5) and (0,1). Parallel and Perpendicular
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MGF 1106 Math for Liberal Arts I Summer 2008 - Practice Final Exam Dr. Schnackenberg If you do not agree with the given answers, answer "E" for "None of the above". MULTIPLE CHOICE. Choose the one alternative
More informationSection 2.2 Objectives
Section 2.2 Objectives Solve multi-step equations using algebra properties of equality. Solve equations that have no solution and equations that have infinitely many solutions. Solve equations with rational
More informationHILTON COLLEGE TRIAL EXAMINATION AUGUST 2009 MATHEMATICS: PAPER I GENERAL INSTRUCTIONS PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY.
HILTON COLLEGE TRIAL EXAMINATION AUGUST 2009 MATHEMATICS: PAPER I Time: 3 hours 150 marks GENERAL INSTRUCTIONS PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY. 1. This question paper consists of 10 pages.
More informationNuevo examen - 02 de Febrero de 2017 [280 marks]
Nuevo examen - 0 de Febrero de 0 [0 marks] Jar A contains three red marbles and five green marbles. Two marbles are drawn from the jar, one after the other, without replacement. a. Find the probability
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write a word description of the set. 1) {January, February, March, April, May, June, July,
More informationYear 10 Mathematics Probability Practice Test 1
Year 10 Mathematics Probability Practice Test 1 1 A letter is chosen randomly from the word TELEVISION. a How many letters are there in the word TELEVISION? b Find the probability that the letter is: i
More informationComputations - Show all your work. (30 pts)
Math 1012 Final Name: Computations - Show all your work. (30 pts) 1. Fractions. a. 1 7 + 1 5 b. 12 5 5 9 c. 6 8 2 16 d. 1 6 + 2 5 + 3 4 2.a Powers of ten. i. 10 3 10 2 ii. 10 2 10 6 iii. 10 0 iv. (10 5
More informationMATHEMATICS: PAPER I
NATIONAL SENIOR CERTIFICATE EXAMINATION NOVEMBER 017 MATHEMATICS: PAPER I Time: 3 hours 150 marks PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 11 pages and an Information
More informationMAT 111 Final Exam Fall 2013 Name: If solving graphically, sketch a graph and label the solution.
MAT 111 Final Exam Fall 2013 Name: Show all work on test to receive credit. Draw a box around your answer. If solving algebraically, show all steps. If solving graphically, sketch a graph and label the
More informationExample. What is the sample space for flipping a fair coin? Rolling a 6-sided die? Find the event E where E = {x x has exactly one head}
Chapter 7 Notes 1 (c) Epstein, 2013 CHAPTER 7: PROBABILITY 7.1: Experiments, Sample Spaces and Events Chapter 7 Notes 2 (c) Epstein, 2013 What is the sample space for flipping a fair coin three times?
More informationTopic 5: Probability. 5.4 Combined Events and Conditional Probability Paper 1
Topic 5: Probability Standard Level 5.4 Combined Events and Conditional Probability Paper 1 1. In a group of 16 students, 12 take art and 8 take music. One student takes neither art nor music. The Venn
More informationMATH 1710 College Algebra Final Exam Review
MATH 1710 College Algebra Final Exam Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) There were 480 people at a play.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Math 4 review exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Convert the constraints into linear equations by using slack variables. ) Maximize
More informationFall Math 140 Week-in-Review #5 courtesy: Kendra Kilmer (covering Sections 3.4 and 4.1) Section 3.4
Section 3.4 A Standard Maximization Problem has the following properties: The objective function is to be maximized. All variables are non-negative. Fall 2017 Math 140 Week-in-Review #5 courtesy: Kendra
More informationO5C1: Graphing Exponential Functions
Name: Class Period: Date: Algebra 2 Honors O5C1-4 REVIEW O5C1: Graphing Exponential Functions Graph the exponential function and fill in the table to the right. You will need to draw in the x- and y- axis.
More informationDEPARTMENT OF MATHEMATICS
This is for your practice. DEPARTMENT OF MATHEMATICS Ma162 Samples from old Final Exams 1. Fred Foy has $100, 000 to invest in stocks, bonds and a money market account. The stocks have an expected return
More information2011 Pearson Education, Inc
Statistics for Business and Economics Chapter 3 Probability Contents 1. Events, Sample Spaces, and Probability 2. Unions and Intersections 3. Complementary Events 4. The Additive Rule and Mutually Exclusive
More informationChapter 7: Section 7-1 Probability Theory and Counting Principles
Chapter 7: Section 7-1 Probability Theory and Counting Principles D. S. Malik Creighton University, Omaha, NE D. S. Malik Creighton University, Omaha, NE Chapter () 7: Section 7-1 Probability Theory and
More informationWeek 2. Section Texas A& M University. Department of Mathematics Texas A& M University, College Station 22 January-24 January 2019
Week 2 Section 1.2-1.4 Texas A& M University Department of Mathematics Texas A& M University, College Station 22 January-24 January 2019 Oğuz Gezmiş (TAMU) Topics in Contemporary Mathematics II Week2 1
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Exam Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Express the set using the roster method. 1) {x x N and x is greater than 7} 1) A) {8,9,10,...}
More informationThe probability of an event is viewed as a numerical measure of the chance that the event will occur.
Chapter 5 This chapter introduces probability to quantify randomness. Section 5.1: How Can Probability Quantify Randomness? The probability of an event is viewed as a numerical measure of the chance that
More informationChapter 5 : Probability. Exercise Sheet. SHilal. 1 P a g e
1 P a g e experiment ( observing / measuring ) outcomes = results sample space = set of all outcomes events = subset of outcomes If we collect all outcomes we are forming a sample space If we collect some
More informationEstadística I Exercises Chapter 4 Academic year 2015/16
Estadística I Exercises Chapter 4 Academic year 2015/16 1. An urn contains 15 balls numbered from 2 to 16. One ball is drawn at random and its number is reported. (a) Define the following events by listing
More informationMATH NUMBER SENSE 7 Performance Objective Task Analysis Benchmarks/Assessment Students:
Students: 1. Students know the properties of and 1. Read, write and compare rational compute with rational numbers numbers in scientific notation (positive expressed in a variety of forms. and negative
More informationUNIT CSEC Multiple Choice Items Sample Paper 01
UNIT 0 Sample CSEC Multiple Choice Items and Revision Questions UNIT 0.. CSEC Multiple Choice Items Sample Paper 0 This paper consists of 60 Multiple Choice items from the Core Syllabus according to the
More informationMath 101: Final Exam Review Sheet
Math 101: Final Exam Review Sheet (Answers are at the end.) Exam Coverage: Everything we learned in the course. Exam Date: Friday, December 11, 2015 Exam Time: 10:30 am 12:30 pm (Arrive at least 10 minutes
More informationIntroductory Algebra Final Exam Review
Introductory Algebra Final Exam Review Note to students: The final exam for this course will consist of 0 multiple-choice questions and a few openended questions. The exam will cover Lessons from your
More informationIntroduction to Probability
Introduction to Probability Content Experiments, Counting Rules, and Assigning Probabilities Events and Their Probability Some Basic Relationships of Probability Conditional Probability Bayes Theorem 2
More informationMATH 120. Test 1 Spring, 2012 DO ALL ASSIGNED PROBLEMS. Things to particularly study
MATH 120 Test 1 Spring, 2012 DO ALL ASSIGNED PROBLEMS Things to particularly study 1) Critical Thinking Basic strategies Be able to solve using the basic strategies, such as finding patterns, questioning,
More informationWhat is Probability? Probability. Sample Spaces and Events. Simple Event
What is Probability? Probability Peter Lo Probability is the numerical measure of likelihood that the event will occur. Simple Event Joint Event Compound Event Lies between 0 & 1 Sum of events is 1 1.5
More information2. Tell which graph corresponds to person 1 in Table 1-9.2b above.
1. An architect charges $1800 for a first draft of a three-bedroom house. If the work takes longer than 8 hours, the architect charges $105 for each additional hour. What would be the total cost for a
More informationAlgebra 1 End of Course Review
1 Fractions, decimals, and integers are not examples of whole numbers, rational numbers, and natural numbers. Numbers divisible by 2 are even numbers. All others are odd numbers. The absolute value of
More informationMATH6 - Introduction to Finite Mathematics
MATH6 - Introduction to Finite Mathematics Final Exam ANSWES June, 007. (6 points) Find the solution set for the following system: 3x y 8z+ 7t = x+ y z t = 3 x y 3z+ 3t =. 3 8 7 3 3 3 3 3 8 7 3 3 3 0 5
More informationMath 1313 Experiments, Events and Sample Spaces
Math 1313 Experiments, Events and Sample Spaces At the end of this recording, you should be able to define and use the basic terminology used in defining experiments. Terminology The next main topic in
More informationUNIT 5 INEQUALITIES CCM6+/7+ Name: Math Teacher:
UNIT 5 INEQUALITIES 2015-2016 CCM6+/7+ Name: Math Teacher: Topic(s) Page(s) Unit 5 Vocabulary 2 Writing and Graphing Inequalities 3 8 Solving One-Step Inequalities 9 15 Solving Multi-Step Inequalities
More informationG.C.E.(O.L.) Support Seminar
- 1 - G..E.(O.L.) Support Seminar - 2014 Mathematics I Two Hours 1. Simplify : 1.2 + 0.35 Part nswer all questions on this question paper itself. 2. Find the balance when a Rs. 100 note is tendered to
More informationBOARD QUESTION PAPER : MARCH 2018
Board Question Paper : March 08 BOARD QUESTION PAPER : MARCH 08 Notes: i. All questions are compulsory. Figures to the right indicate full marks. i Graph paper is necessary for L.P.P iv. Use of logarithmic
More information2) If an athletic conference has 12 teams and each of the teams plays each of the other teams, how many games will there be?
Pre-Algebra Review Worksheet Final Exam Mr. Cierech Name: Date: Chapter 1: Number Patterns 1) Find the next three numbers in the sequence: a) 4, 9, 14, 19, 4... b) 16, 8, 4,, 1, ) If an athletic conference
More informationELEG 3143 Probability & Stochastic Process Ch. 1 Probability
Department of Electrical Engineering University of Arkansas ELEG 3143 Probability & Stochastic Process Ch. 1 Probability Dr. Jingxian Wu wuj@uark.edu OUTLINE 2 Applications Elementary Set Theory Random
More informationQUIZ 1 (CHAPTERS 1-4) SOLUTIONS MATH 119 SPRING 2013 KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100%
QUIZ 1 (CHAPTERS 1-4) SOLUTIONS MATH 119 SPRING 2013 KUNIYUKI 105 POINTS TOTAL, BUT 100 POINTS = 100% 1) (6 points). A college has 32 course sections in math. A frequency table for the numbers of students
More informationCHAPTER 3 PROBABILITY TOPICS
CHAPTER 3 PROBABILITY TOPICS 1. Terminology In this chapter, we are interested in the probability of a particular event occurring when we conduct an experiment. The sample space of an experiment is the
More informationMATHEMATICS PRELIMINARY EXAMINATION PAPER 1
MATHEMATICS PRELIMINARY EXAMINATION PAPER 1 GRADE 1 LEARNING OUTCOMES: LO 1 LO MARKS: 150 TIME: 3 hours ASSESSMENT STANDARDS: AS 1,, 3, 4,5, 6 AS 1,, 3, 4, 5, 6, 7, 8 LEARNER S NAME: CLASS: INSTRUCTIONS
More information13-5 Probabilities of Independent and Dependent Events
CCSS REASONING Determine whether the events are independent or dependent. Then find the probability. 6. In a game, you roll an even number on a die and then spin a spinner numbered 1 through 5 and get
More informationName: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN. Mathematics 3201 PRE-PUBLIC EXAMINATION JUNE 2015
Name: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN Mathematics 3201 PRE-PUBLIC EXAMINATION JUNE 2015 Value: 100 Marks Duration: 3 Hours General Instructions
More informationBenchmark Prep. h a. h = 5 c. h = 3 b. h = 3 d. h = 1. w a. w = 15 c. w = 15 b. w = 3 d. w = 21. Name: Class: Date: Solve the equation.
Class: Date: Benchmark Prep Solve the equation. 1. 2 b 3 a. b = 1 c. b = 5 b. b = 5 d. b = 1 2. s ( 20) 19 a. s = 39 c. s = 1 b. s = 39 d. s = 1 3. 2 7 = y 3 4 a. y = 29 28 b. y = 13 28 c. y = 29 28 d.
More information$ and det A = 14, find the possible values of p. 1. If A =! # Use your graph to answer parts (i) (iii) below, Working:
& 2 p 3 1. If A =! # $ and det A = 14, find the possible values of p. % 4 p p" Use your graph to answer parts (i) (iii) below, (i) Find an estimate for the median score. (ii) Candidates who scored less
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 5) ) A) 1 B) 14 C) 0 D) 16
Review Final Exam MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Use the order of operations to find the value of the expression. 1) -7(-9) - 4(-2)
More informationalgebraic expression angle exponent equation Vocabulary Flash Cards Review Review Review Review Review Review Big Ideas Math Red
algebraic expression angle base (of a power) coordinate plane equation exponent expression factor A figure formed by two rays with the same endpoint An expression that contains numbers, operations, and
More informationSection 2.4 Bernoulli Trials
Section 2.4 Bernoulli Trials A bernoulli trial is a repeated experiment with the following properties: 1. There are two outcomes of each trial: success and failure. 2. The probability of success in each
More informationDSST Principles of Statistics
DSST Principles of Statistics Time 10 Minutes 98 Questions Each incomplete statement is followed by four suggested completions. Select the one that is best in each case. 1. Which of the following variables
More informationChapter 8 Sequences, Series, and Probability
Chapter 8 Sequences, Series, and Probability Overview 8.1 Sequences and Series 8.2 Arithmetic Sequences and Partial Sums 8.3 Geometric Sequences and Partial Sums 8.5 The Binomial Theorem 8.6 Counting Principles
More information1. Consider the independent events A and B. Given that P(B) = 2P(A), and P(A B) = 0.52, find P(B). (Total 7 marks)
1. Consider the independent events A and B. Given that P(B) = 2P(A), and P(A B) = 0.52, find P(B). (Total 7 marks) 2. In a school of 88 boys, 32 study economics (E), 28 study history (H) and 39 do not
More informationMATH : FINAL EXAM INFO/LOGISTICS/ADVICE
INFO: MATH 1300-01: FINAL EXAM INFO/LOGISTICS/ADVICE WHEN: Thursday (08/06) at 11:00am DURATION: 150 mins PROBLEM COUNT: Eleven BONUS COUNT: Two There will be three Ch13 problems, three Ch14 problems,
More informationPRELIMINARY EXAMINATION 2017 MATHEMATICS GRADE 12 PAPER 1. Time: 3 hours Total: 150 PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY
PRELIMINARY EXAMINATION 2017 MATHEMATICS GRADE 12 PAPER 1 Time: 3 hours Total: 150 PLEASE READ THE FOLLOWING INSTRUCTIONS CAREFULLY 1. This question paper consists of 7 pages, graph paper, and a separate
More informationACP Semester 2 Review
lass: Date: P Semester 2 Review Multiple hoice Identify the choice that best completes the statement or answers the question. 1. n airplane flight has 228 seats. The probability that a person who buys
More informationDiagnostic Test. Month Balance Change February $ March $ $13.10 April $1, $ May $ $ June $ $163.
Diagnostic Test Select the best answer for questions 1 60. Fill in the correct bubble on your answer sheet. 1. The chart shows the balance in Neil s savings account and the change from the previous month.
More informationSection 4.1 Solving Systems of Linear Inequalities
Section 4.1 Solving Systems of Linear Inequalities Question 1 How do you graph a linear inequality? Question 2 How do you graph a system of linear inequalities? Question 1 How do you graph a linear inequality?
More informationSouth Pacific Form Seven Certificate
141/1 South Pacific Form Seven Certificate INSTRUCTIONS MATHEMATICS WITH STATISTICS 2015 QUESTION and ANSWER BOOKLET Time allowed: Two and a half hours Write your Student Personal Identification Number
More informationFall 2013 Math Determine whether the lines through the pairs of points A( 3, 2), B(5, 14) and C(3, 2), D( 12, 4) are perpendicular.
Final Exam Answer key Fall 013 Math 0400 1. Determine whether the lines through the pairs of points A( 3, ), B(5, 14) and C(3, ), D( 1, 4) are perpendicular. m 1 = 14 5 ( 3) = 1 8 = 3, m = 4 ( ) 1 3 =
More informationLecture 8: Conditional probability I: definition, independence, the tree method, sampling, chain rule for independent events
Lecture 8: Conditional probability I: definition, independence, the tree method, sampling, chain rule for independent events Discrete Structures II (Summer 2018) Rutgers University Instructor: Abhishek
More informationRecord your answers and work on the separate answer sheet provided.
MATH 106 FINAL EXAMINATION This is an open-book exam. You may refer to your text and other course materials as you work on the exam, and you may use a calculator. You must complete the exam individually.
More information7.5: Conditional Probability and Independent Events
c Dr Oksana Shatalov, Spring 2012 1 7.5: Conditional Probability and Independent Events EXAMPLE 1. Two cards are drawn from a deck of 52 without replacement. (a) What is the probability of that the first
More information4. Probability of an event A for equally likely outcomes:
University of California, Los Angeles Department of Statistics Statistics 110A Instructor: Nicolas Christou Probability Probability: A measure of the chance that something will occur. 1. Random experiment:
More information2. Linda paid $38 for a jacket that was on sale for 25% of the original price. What was the original price of the jacket?
KCATM 011 Word Problems: Team 1. A restaurant s fixed price dinner includes an appetizer, an entrée, and dessert. If the restaurant offers 4 different types of appetizers, 5 different types of entrees,
More informationChapter 01: Probability Theory (Cont d)
Chapter 01: Probability Theory (Cont d) Section 1.5: Probabilities of Event Intersections Problem (01): When a company receives an order, there is a probability of 0.42 that its value is over $1000. If
More informationGrade 12 Prototype Examination. Foundations of Mathematics 30. Course Code Barcode Number. Date of Birth
Grade 12 Prototype Examination Foundations of Mathematics 30 Course Code 8425 Barcode Number Month Date of Birth Day November 2013 Revised October 2016 TIME: Two and One-Half Hours Foundations of Mathematics
More information1. What numbers sum to 10? ex. 1 9,
Basic Algebra No calculator unless specified otherwise.. What numbers sum to 0? e. 9, 8. 0 8. 6 4. What coin combinations make a dollar? e. 4 quarters. 800/40 0 6. 4 0. Find. 6 7. 7. Find. 8. What time
More informationClass: Date: ID: A. 1, Write the polynomial so that the exponents decrease from left to right. c. llb~-4b 2-6b+3 d.
Class: Date: ID: A A~gebra 1 - Fina~ Exam Review 2(H3 1, Write the polynomial so that the exponents decrease from left to right. 6X 3 -- 6X + 4x s - 2 4x5 +6x3 _6x_2 c. -4x 5-6x3 +6x+2 b. -2+4x 5-6x+6x3
More information, x {1, 2, k}, where k > 0. Find E(X). (2) (Total 7 marks)
1.) The probability distribution of a discrete random variable X is given by 2 x P(X = x) = 14, x {1, 2, k}, where k > 0. Write down P(X = 2). Show that k = 3. (1) Find E(X). (Total 7 marks) 2.) In a group
More informationMAT 121: Mathematics for Business and Information Science Final Exam Review Packet
MAT 121: Mathematics for Business and Information Science Final Exam Review Packet A. Calculate the exact distance (i.e., simplified radicals where appropriate, not decimal approximations using a calculator)
More informationSt. Michael s Episcopal School. Summer Math
St. Michael s Episcopal School Summer Math for rising 7th & 8 th grade Algebra students 2017 Eighth Grade students should know the formulas for the perimeter and area of triangles and rectangles, the circumference
More informationMA 162: Finite Mathematics - Section 3.3/4.1
MA 162: Finite Mathematics - Section 3.3/4.1 Fall 2014 Ray Kremer University of Kentucky October 6, 2014 Announcements: Homework 3.3 due Tuesday at 6pm. Homework 4.1 due Friday at 6pm. Exam scores were
More informationThe given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern. 3) 4, 10, 16, 22, 28,... 3)
M60(Precalculus) Evaluate the factorial expression. 9! ) 7!! ch practice test ) Write out the first five terms of the sequence. ) {sn} = (-)n - n + n - ) The given pattern continues. Write down the nth
More informationName: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN. Mathematics 3201 PRE-PUBLIC EXAMINATION JUNE 2014
Name: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN Mathematics 3201 PRE-PUBLIC EXAMINATION JUNE 2014 Value: 100 Marks Duration: 3 Hours General Instructions
More informationIndex No: Supervising Examiner s/ Invigilator s initial:
Alternative No: Index No: Supervising Examiner s/ Invigilator s initial: 0 1 0 1 2 Mathematics READ THE FOLLOWING DIRECTIONS CAREFULLY: Writing Time: 3 hours Total Marks : 100 1. Do not write for the first
More informationMathematical studies Standard level Paper 1
N17/5/MATSD/SP1/ENG/TZ0/XX Mathematical studies Standard level Paper 1 Monday 13 November 2017 (afternoon) Candidate session number 1 hour 30 minutes Instructions to candidates y Write your session number
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
MGF 1106 Exam #2 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Six students, A, B, C, D, E, F, are to give speeches to
More informationCongratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the school year!
Dear Student: Congratulations on being placed in the GSE Accelerated Analytic Geometry B/Advanced Algebra class for the 0-09 school year! This is a fast-paced and rigorous college-preparatory math course
More informationProbability the chance that an uncertain event will occur (always between 0 and 1)
Quantitative Methods 2013 1 Probability as a Numerical Measure of the Likelihood of Occurrence Probability the chance that an uncertain event will occur (always between 0 and 1) Increasing Likelihood of
More information