a) 2, 4, 8, 14, 22, b) 1, 5, 6, 10, 11, c) 3, 9, 21, 39, 63, d) 3, 0, 6, 15, 27, e) 3, 8, 13, 18, 23,
|
|
- Lorena Blair
- 5 years ago
- Views:
Transcription
1 Pre-alculus Midterm Exam Review Name:. Which of the following is an arithmetic sequence?,, 8,,, b),, 6, 0,, c), 9,, 9, 6, d), 0, 6,, 7, e), 8,, 8,,. What is a rule for the nth term of the arithmetic sequence with a 8 = and a =? a n b) a n 8 c) a n d) a n 7 e) a n. What is the common ratio of an infinite geometric series whose sum is and the first term is a = 6? b) c). Find the sum of the series: k k d) e) 96 b) 7 c) 98 d) 87 e) 00. What is the sum of the series: ? b) 7. c) 8 d) 0 e) does not converge 6. What is S for the arithmetic series ? b) 0 c) d) 7.6 e) What is the twelfth term of the sequence of a geometric sequence; -6, 8, -..,88,66 b) -,88,66 c),06,88 d) -,06,88 e) - 8. How to do you write the series using sigma notation? k b) k c) k d) k e) k k k k k k 9. How do you write the series using sigma notation? n n. n b). c). d) n. e). n n n n n n 0. Which series is represented by k k k? b) c) d) e) What is the common ratio of the sequence,,,,...? b) c) d) e) 6
2 . What is S 6 for the geometric series ? 60.7 b). c) d) 9 e) 00. What is the common difference of the sequence,., 6, 7.,? b). c) d) e).. An infinite geometric series has a sum of 00 and a common ratio. Which is the first term of this series? 0 b) 60 c) 80 d) 00 e) 80. How many distinguishable permutations of the letters in ABANA are there? 60 b) 0 c) 80 d) 60 e) How many distinguishable permutations of the letters in STORE are there? b) c) 60 d) 0 e) 7. In an activity club with students, the offices of president, vice president, secretary, and treasurer will be filled. In how many ways can the offices be filled? b) 7 c) 96 d) 0,66 e),0 8. In how many ways can a 9 person committee be chosen from a group of people? 9 b) c) 0 d) 60,80 e) 79,8, What is the coefficient of x in the expansion of (x + ) 7? b) 0 c) d) 9 e) 8 0. What is the coefficient of x in the expansion of (x )? 6 b) 7 c) 08 d) 70 e) 60. A movie theater sells sizes of popcorn (small, medium, and large) with choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased? b) c) 9 d) 7 e) 8. In how many ways can 0 runners finish a race first, second, or third? b) 0 c) 00 d) 70 e) 000. How many possible license plates can be issued with two letters followed by three numbers? (Letters and digits may be repeated),000 b) 67,600 c) 0,000 d) 676,000 e) None of these
3 . In how many ways can cards be chosen from a standard deck of cards? 6 b) 0 c),600 d),00 e),600. A musician has songs she can play at an open mic night. How many different ways can she play of them? b) 0 c) 0 d) 60 e) 0 6. A printer has 8 colors of ink, but can only pick to use on a pamphlet that he is printing. How many different color combinations can he choose? b) 6 c) 0 d) 6 e) 0,0 7. A math class is made up of boys and 0 girls. How many ways can the teacher choose one boy and one girl to solve a problem for the class? b) c) 0 d) e) 8. Which of the following sets represents the shaded region in the Venn Diagram? A B A B b) A B c) A' B d) A B ' e) B 9. You are forming a 7-member committee from 0 men and women. The committee must consist of men and women. How many different 7-member committees are possible? b) c) 7 d) 980 e) None of these 0. A fair coin is flipped three times. What is the probability of obtaining three tails? 0. b) 0.67 c) 0. d) 0.0 e) 0.7. A fair coin is flipped 6 times. What is the probability of obtaining at least heads? 0. b) 0.89 c) 0. d) 0.09 e) none of these. If P(A) = 0.6, P(B) = 0., and P(A or B) = 0.8, what is P(A and B)? 0. b) 0. c) 0. d) 0. e) 0.. A card is randomly selected from a standard deck of cards. What is the probability that it is a or an ace? 0. b) 0.08 c) 0. d) 0.06 e) What is the probability of or fewer successes for a binomial experiment consisting of 8 trials with the probability of 0.7 of success on each trial? 0. b) 0. c) 0. d) 0.69 e) 0.77
4 . A spinner has equal regions numbered through. What is the probability that the spinner will stop on an even number or a multiple of? b) c) 9 7 d) e) 6. What is the probability that in a family of seven children exactly two are girls? Assume a boy and a girl are equally likely b) 6 c) 8 d) 7 e) 7 7. A fair coin is tossed 0 times. What is the probability of obtaining at least six heads? 0.00 b) 0.60 c) 0.88 d) 0.79 e) Events A and B are independent, P(A) = 0., P(B) = 0.6, what is P(A and B)? 0. b) 0. c) 0. d) 0.8 e). 9. Events A and B are dependent, P(A) = 60%, and P(B A) = 0%. What is P(A and B)? 0% b) 8% c) % d) 0% e) 90% 0. Five cards are dealt from a well-shuffled deck of playing cards. The expression 0 0 represents the probability of: one red king or two red kings b) one jack or two black tens c) one black jack and two black tens d) at least two black queens e) two red kings and two black jacks. A bag contains 6 red marbles, blue marbles, and 7 green marbles. If marbles are randomly selected (without replacement) from the bag, what is the probability that they are all blue?.008 b).00 c).0066 d) 0. e).007. High school students were surveyed about lunch. % of all students bring a lunch from home. The remaining students buy a school lunch. The school lunch offers pizza, grilled cheese, and tacos. Of the students who buy lunch, 0% like pizza, % like tacos, and the remaining 8% like grilled cheese. If a student was picked at random what is the probability that a student buys a grilled cheese at school? % b) % c) 8% d) % e) 00% For numbers, refer to the ellipse represented by x y. Find the coordinates of the center (, ) b) (, ) c) (, ) d) (, ) e) (, ). Find the coordinates of the foci. 7, b) (, ), (, ) c), 7 d) (, ), (, 8) e) (, ), (6, )
5 . Find the coordinates of the vertices and co-vertices. (, ), (, 6), (, ), (, ) b) (, ), (, ), (, ), (, ) c) (, ), (, ), (, ), (, ) d) (, ), (, ), (, ), (, 6) e) Ellipses don t have co-vertices 6. Find the coordinates of the foci for the hyperbola y x. 0, b) 0, 6 c),0 d) 6,0 e) None of these 7. Write the standard form of the equation of the hyperbola for which the transverse axis is units long and vertical and the conjugate axis is units long. x y b) y x.. c) y x d) x y.. e) y x. 8. What is the directrix of the parabola with equation x = 8y? x = 7 b) x = 8 c) y = 7 d) y = 7 e) y = 8 9. Determine the orientation of the parabola: focus (0, ), directrix y = up b) down c) left d) right e) none 0. Which of the following is equivalent to 7? 8 b) 0 c) d) 0 e) 7. Which of the following is equivalent to 0? 6 b) 7 6 c) d) e) 8. What is the arc length of a sector with a radius of cm and a central angle of 0?.7 cm b).8 cm c). cm d) cm e) 00 cm. What is the area of a sector with a radius of 0 cm and a central angle of? cm b).6 cm c) 8.7cm d). cm e) 8.8 cm
6 . If (6, ) is a point on the terminal side of an angle θ in standard position, what is the value of sin θ? 0 b) c) 0 d) 0 e). The number of degrees in one revolution is: b) π c) π d) 80 e) The tangent and cosine functions are both negative in which quadrant? I b) II c) III d) IV e) none 7. What is the value of tan when cos = in quadrant? b) c) d) e) 8. Using a reference angle, sin 7 =? sin 7 b) sin 6 c) sin 7 d) sin 6 e) sin 7 9. Find the exact value of csc tan. b) c) d) e) 60. If cot x = where 0 x π find cos x. b) c) d) e) 6. An airplane is at an elevation of,000 ft and approaches the airport with an angle of descent of 0. What is the distance between the airport and the point on the ground directly below the plane?,.99 ft b) 8,069.7 ft c) 86,8.7 ft d) 0,.9 ft e),90.69 ft 6. If cos and, which of the following is true? sin b) tan c) tan d) cot e) sin
Unit Nine Precalculus Practice Test Probability & Statistics. Name: Period: Date: NON-CALCULATOR SECTION
Name: Period: Date: NON-CALCULATOR SECTION Vocabulary: Define each word and give an example. 1. discrete mathematics 2. dependent outcomes 3. series Short Answer: 4. Describe when to use a combination.
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
More 9.-9.3 Practice Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. ) In how many ways can you answer the questions on
More informationIndependent Events. If we were to flip a coin, each time we flip that coin the chance of it landing on heads or tails will always remain the same.
Independent Events Independent events are events that you can do repeated trials and each trial doesn t have an effect on the outcome of the next trial. If we were to flip a coin, each time we flip that
More informationHonors Precalculus Chapter 9 Summary Basic Combinatorics
Honors Precalculus Chapter 9 Summary Basic Combinatorics A. Factorial: n! means 0! = Why? B. Counting principle: 1. How many different ways can a license plate be formed a) if 7 letters are used and each
More information6) A) both; happy B) neither; not happy C) one; happy D) one; not happy
MATH 00 -- PRACTICE TEST 2 Millersville University, Spring 202 Ron Umble, Instr. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find all natural
More informationSection The Multiplication Principle and Permutations
Section 2.1 - The Multiplication Principle and Permutations Example 1: A yogurt shop has 4 flavors (chocolate, vanilla, strawberry, and blueberry) and three sizes (small, medium, and large). How many different
More informationName: Class: Date: ID: A
Class: Date: Chapter 0 review. A lunch menu consists of different kinds of sandwiches, different kinds of soup, and 6 different drinks. How many choices are there for ordering a sandwich, a bowl of soup,
More informationSection 5.4 Permutations and Combinations
Section 5.4 Permutations and Combinations Definition: n-factorial For any natural number n, n! n( n 1)( n 2) 3 2 1. 0! = 1 A combination of a set is arranging the elements of the set without regard to
More informationSection 5.4 Permutations and Combinations
Section 5.4 Permutations and Combinations Definition: n-factorial For any natural number n, n! = n( n 1)( n 2) 3 2 1. 0! = 1 A combination of a set is arranging the elements of the set without regard to
More informationFundamental Counting Principle
Lesson 88 Probability with Combinatorics HL2 Math - Santowski Fundamental Counting Principle Fundamental Counting Principle can be used determine the number of possible outcomes when there are two or more
More informationName: Exam 1. September 14, 2017
Department of Mathematics University of Notre Dame Math 10120 Finite Math Fall 2017 Name: Instructors: Basit & Migliore Exam 1 September 14, 2017 This exam is in two parts on 9 pages and contains 14 problems
More informationATHS FC Math Department Al Ain Remedial worksheet. Lesson 10.4 (Ellipses)
ATHS FC Math Department Al Ain Remedial worksheet Section Name ID Date Lesson Marks Lesson 10.4 (Ellipses) 10.4, 10.5, 0.4, 0.5 and 0.6 Intervention Plan Page 1 of 19 Gr 12 core c 2 = a 2 b 2 Question
More informationOutcomes: The outcomes of this experiment are yellow, blue, red and green.
(Adapted from http://www.mathgoodies.com/) 1. Sample Space The sample space of an experiment is the set of all possible outcomes of that experiment. The sum of the probabilities of the distinct outcomes
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Statistics Homework Ch 5 Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Provide an appropriate response. 1) A coin is tossed. Find the probability
More informationChapter 1 - Set Theory
Midterm review Math 3201 Name: Chapter 1 - Set Theory Part 1: Multiple Choice : 1) U = {hockey, basketball, golf, tennis, volleyball, soccer}. If B = {sports that use a ball}, which element would be in
More informationFinite Mathematics MAT 141: Chapter 8 Notes
Finite Mathematics MAT 4: Chapter 8 Notes Counting Principles; More David J. Gisch The Multiplication Principle; Permutations Multiplication Principle Multiplication Principle You can think of the multiplication
More informationAdvanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY
Advanced Intermediate Algebra Chapter 12 Summary INTRO TO PROBABILITY 1. Jack and Jill do not like washing dishes. They decide to use a random method to select whose turn it is. They put some red and blue
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Study Guide for Test III (MATH 1630) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the number of subsets of the set. 1) {x x is an even
More informationINDEPENDENT AND DEPENDENT EVENTS UNIT 6: PROBABILITY DAY 2
INDEPENDENT AND DEPENDENT EVENTS UNIT 6: PROBABILITY DAY 2 WARM UP Students in a mathematics class pick a card from a standard deck of 52 cards, record the suit, and return the card to the deck. The results
More informationApril 10, ex) Draw a tree diagram of this situation.
April 10, 2014 12-1 Fundamental Counting Principle & Multiplying Probabilities 1. Outcome - the result of a single trial. 2. Sample Space - the set of all possible outcomes 3. Independent Events - when
More informationUnit 11 Probability. Round 1 Round 2 Round 3 Round 4
Study Notes 11.1 Intro to Probability Unit 11 Probability Many events can t be predicted with total certainty. The best thing we can do is say how likely they are to happen, using the idea of probability.
More informationAlgebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations
Algebra 2 Notes Section 10.1: Apply the Counting Principle and Permutations Objective(s): Vocabulary: I. Fundamental Counting Principle: Two Events: Three or more Events: II. Permutation: (top of p. 684)
More informationIntroduction. Firstly however we must look at the Fundamental Principle of Counting (sometimes referred to as the multiplication rule) which states:
Worksheet 4.11 Counting Section 1 Introduction When looking at situations involving counting it is often not practical to count things individually. Instead techniques have been developed to help us count
More informationMath Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.
Math 166 Spring 2007 c Heather Ramsey Page 1 Math 166 - Exam 2 Review NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Section 7.1 - Experiments, Sample Spaces,
More informationMath Exam 2 Review. NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5.
Math 166 Spring 2007 c Heather Ramsey Page 1 Math 166 - Exam 2 Review NOTE: For reviews of the other sections on Exam 2, refer to the first page of WIR #4 and #5. Section 7.1 - Experiments, Sample Spaces,
More information7.1 Chance Surprises, 7.2 Predicting the Future in an Uncertain World, 7.4 Down for the Count
7.1 Chance Surprises, 7.2 Predicting the Future in an Uncertain World, 7.4 Down for the Count Probability deals with predicting the outcome of future experiments in a quantitative way. The experiments
More information1324 Test 1 Review Page 1 of 10
1324 Test 1 Review Page 1 of 10 Review for Exam 1 Math 1324 TTh Chapters 7, 8 Problems 1-10: Determine whether the statement is true or false. 1. {5} {4,5, 7}. 2. {4,5,7}. 3. {4,5} {4,5,7}. 4. {4,5} {4,5,7}
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1342 Practice Test 2 Ch 4 & 5 Name 1) Nanette must pass through three doors as she walks from her company's foyer to her office. Each of these doors may be locked or unlocked. 1) List the outcomes
More informationSTAT Statistics I Midterm Exam One. Good Luck!
STAT 515 - Statistics I Midterm Exam One Name: Instruction: You can use a calculator that has no connection to the Internet. Books, notes, cellphones, and computers are NOT allowed in the test. There are
More informationUnit 14 Probability. Target 3 Calculate the probability of independent and dependent events (compound) AND/THEN statements
Target 1 Calculate the probability of an event Unit 14 Probability Target 2 Calculate a sample space 14.2a Tree Diagrams, Factorials, and Permutations 14.2b Combinations Target 3 Calculate the probability
More informationName Class Date. Introducing Probability Distributions
Name Class Date Binomial Distributions Extension: Distributions Essential question: What is a probability distribution and how is it displayed? 8-6 CC.9 2.S.MD.5(+) ENGAGE Introducing Distributions Video
More informationMath 1342 Exam 2 Review
Math 1342 Exam 2 Review SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. 1) If a sportscaster makes an educated guess as to how well a team will do this
More informationPrecalc Unit 10 Review
Precalc Unit 10 Review Name: Use binomial expansion to expand. 1. 2. 3.. Use binomial expansion to find the term you are asked for. 4. 5 th term of (4x-3y) 8 5. 3 rd term of 6. 4 th term of 7. 2 nd term
More informationName Date. Sample Spaces and Probability For use with Exploration 12.1
. Sample Spaces and Probability For use with Exploration. Essential Question How can you list the possible outcomes in the sample space of an experiment? The sample space of an experiment is the set of
More informationProbability --QUESTIONS-- Principles of Math 12 - Probability Practice Exam 1
Probability --QUESTIONS-- Principles of Math - Probability Practice Exam www.math.com Principles of Math : Probability Practice Exam Use this sheet to record your answers:... 4... 4... 4.. 6. 4.. 6. 7..
More informationUse Venn diagrams to determine whether the following statements are equal for all sets A and B. 2) A' B', A B Answer: not equal
Test Prep Name Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z} Determine the following. ) (A' C) B' {r, t, v, w, x} Use Venn diagrams to determine whether
More informationName: 1. Match the word with the definition (1 point each - no partial credit!)
Chapter 12 Exam Name: Answer the questions in the spaces provided. If you run out of room, show your work on a separate paper clearly numbered and attached to this exam. SHOW ALL YOUR WORK!!! Remember
More information2. The figure shows the face of a spinner. The numbers are all equally likely to occur.
MYP IB Review 9 Probability Name: Date: 1. For a carnival game, a jar contains 20 blue marbles and 80 red marbles. 1. Children take turns randomly selecting a marble from the jar. If a blue marble is chosen,
More informationGeometric Distribution
Geometric Distribution Review Binomial Distribution Properties The experiment consists of n repeated trials. Each trial can result in just two possible outcomes. The probability of success is the same
More information50 Counting Questions
50 Counting Questions Prob-Stats (Math 3350) Fall 2012 Formulas and Notation Permutations: P (n, k) = n!, the number of ordered ways to permute n objects into (n k)! k bins. Combinations: ( ) n k = n!,
More informationProbability. Ms. Weinstein Probability & Statistics
Probability Ms. Weinstein Probability & Statistics Definitions Sample Space The sample space, S, of a random phenomenon is the set of all possible outcomes. Event An event is a set of outcomes of a random
More informationFALL 2012 MATH 1324 REVIEW EXAM 4
FALL 01 MATH 134 REVIEW EXAM 4 MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Write the sample space for the given experiment. 1) An ordinary die
More informationNovember 8, Chapter 8: Probability: The Mathematics of Chance
Chapter 8: Probability: The Mathematics of Chance November 8, 2013 Last Time Probability Models and Rules Discrete Probability Models Equally Likely Outcomes Crystallographic notation The first symbol
More informationUnit 19 Probability Review
. What is sample space? All possible outcomes Unit 9 Probability Review 9. I can use the Fundamental Counting Principle to count the number of ways an event can happen. 2. What is the difference between
More information1. An office building contains 27 floors and has 37 offices on each floor. How many offices are in the building?
1. An office building contains 27 floors and has 37 offices on each floor. How many offices are in the building? 2. A particular brand of shirt comes in 12 colors, has a male version and a female version,
More information5-5 Multiple-Angle and Product-to-Sum Identities
Find the values of sin 2, cos 2, and tan 2 for the given value and interval. 1. cos =, (270, 360 ) Since on the interval (270, 360 ), one point on the terminal side of θ has x-coordinate 3 and a distance
More informationPROBABILITY. 1. Introduction. Candidates should able to:
PROBABILITY Candidates should able to: evaluate probabilities in simple cases by means of enumeration of equiprobable elementary events (e.g for the total score when two fair dice are thrown), or by calculation
More informationMATH CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #1 - SPRING DR. DAVID BRIDGE
MATH 205 - CALCULUS & STATISTICS/BUSN - PRACTICE EXAM # - SPRING 2006 - DR. DAVID BRIDGE TRUE/FALSE. Write 'T' if the statement is true and 'F' if the statement is false. Tell whether the statement is
More informationState Math Contest 2018 Senior Exam
State Math Contest 2018 Senior Exam Weber State University March 8, 2018 Instructions: Do not turn this page until your proctor tells you. Enter your name, grade, and school information following the instructions
More informationName: Class: Date: 6. An event occurs, on average, every 6 out of 17 times during a simulation. The experimental probability of this event is 11
Class: Date: Sample Mastery # Multiple Choice Identify the choice that best completes the statement or answers the question.. One repetition of an experiment is known as a(n) random variable expected value
More informationUnit 5, Activity 1, The Counting Principle
Unit 5, Activity 1, The Counting Principle Directions: With a partner find the answer to the following problems. 1. A person buys 3 different shirts (Green, Blue, and Red) and two different pants (Khaki
More informationMATH 215 DISCRETE MATHEMATICS INSTRUCTOR: P. WENG
MATH DISCRETE MATHEMATICS INSTRUCTOR: P. WENG Counting and Probability Suggested Problems Basic Counting Skills, Inclusion-Exclusion, and Complement. (a An office building contains 7 floors and has 7 offices
More information4.1 Sample Spaces and Events
4.1 Sample Spaces and Events An experiment is an activity that has observable results. Examples: Tossing a coin, rolling dice, picking marbles out of a jar, etc. The result of an experiment is called an
More informationExam 2 Review (Sections Covered: 3.1, 3.3, , 7.1) 1. Write a system of linear inequalities that describes the shaded region.
Exam 2 Review (Sections Covered: 3.1, 3.3, 6.1-6.4, 7.1) 1. Write a system of linear inequalities that describes the shaded region. 5x + 2y 30 x + 2y 12 x 0 y 0 2. Write a system of linear inequalities
More informationLC OL Probability. ARNMaths.weebly.com. As part of Leaving Certificate Ordinary Level Math you should be able to complete the following.
A Ryan LC OL Probability ARNMaths.weebly.com Learning Outcomes As part of Leaving Certificate Ordinary Level Math you should be able to complete the following. Counting List outcomes of an experiment Apply
More informationMath 1313 Section 6.2 Definition of Probability
Math 1313 Section 6.2 Definition of Probability Probability is a measure of the likelihood that an event occurs. For example, if there is a 20% chance of rain tomorrow, that means that the probability
More informationMath 7 Notes - Unit 11 Probability
Math 7 Notes - Unit 11 Probability Probability Syllabus Objective: (7.2)The student will determine the theoretical probability of an event. Syllabus Objective: (7.4)The student will compare theoretical
More informationSTAT 430/510 Probability Lecture 3: Space and Event; Sample Spaces with Equally Likely Outcomes
STAT 430/510 Probability Lecture 3: Space and Event; Sample Spaces with Equally Likely Outcomes Pengyuan (Penelope) Wang May 25, 2011 Review We have discussed counting techniques in Chapter 1. (Principle
More informationFundamentals of Probability
Fundamentals of Probability Introduction Probability is the likelihood that an event will occur under a set of given conditions. The probability of an event occurring has a value between 0 and 1. An impossible
More informationRECTANGULAR EQUATIONS OF CONICS. A quick overview of the 4 conic sections in rectangular coordinates is presented below.
RECTANGULAR EQUATIONS OF CONICS A quick overview of the 4 conic sections in rectangular coordinates is presented below. 1. Circles Skipped covered in MAT 124 (Precalculus I). 2. s Definition A parabola
More informationExercise 1. Consider the following figure. The shaded portion of the circle is called the sector of the circle corresponding to the angle θ.
1 Radian Measures Exercise 1 Consider the following figure. The shaded portion of the circle is called the sector of the circle corresponding to the angle θ. 1. Suppose I know the radian measure of the
More informationUnit 1 Day 1: Sample Spaces and Subsets. Define: Sample Space. Define: Intersection of two sets (A B) Define: Union of two sets (A B)
Unit 1 Day 1: Sample Spaces and Subsets Students will be able to (SWBAT) describe events as subsets of sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions,
More informationCounting Methods and Probability
CHAPTER Counting Methods and Probability Many good basketball players can make 90% of their free throws. However, the likelihood of a player making several free throws in a row will be less than 90%. You
More informationProbability. Probabilty Impossibe Unlikely Equally Likely Likely Certain
PROBABILITY Probability The likelihood or chance of an event occurring If an event is IMPOSSIBLE its probability is ZERO If an event is CERTAIN its probability is ONE So all probabilities lie between 0
More informationMath 104 Final Exam Review
Math 04 Final Exam Review. Find all six trigonometric functions of θ if (, 7) is on the terminal side of θ.. Find cosθ and sinθ if the terminal side of θ lies along the line y = x in quadrant IV.. Find
More informationMATH CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #1 - SPRING DR. DAVID BRIDGE
MATH 2053 - CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #1 - SPRING 2009 - DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the
More informationSHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Math 1324 Test 3 Review Name SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Insert " " or " " in the blank to make the statement true. 1) {18, 27, 32}
More informationSection Introduction to Sets
Section 1.1 - Introduction to Sets Definition: A set is a well-defined collection of objects usually denoted by uppercase letters. Definition: The elements, or members, of a set are denoted by lowercase
More informationSolutions for Exam I, Math 10120, Fall 2016
Solutions for Exam I, Math 10120, Fall 2016 1. Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 2, 3} B = {2, 4, 6, 8, 10}. C = {4, 5, 6, 7, 8}. Which of the following sets is equal to (A B) C? {1, 2, 3,
More informationA Probability Work Sheet
A Probability Work Sheet October 19, 2006 Introduction: Rolling a Die Suppose Geoff is given a fair six-sided die, which he rolls. What are the chances he rolls a six? In order to solve this problem, we
More informationNorth Seattle Community College Winter ELEMENTARY STATISTICS 2617 MATH Section 05, Practice Questions for Test 2 Chapter 3 and 4
North Seattle Community College Winter 2012 ELEMENTARY STATISTICS 2617 MATH 109 - Section 05, Practice Questions for Test 2 Chapter 3 and 4 1. Classify each statement as an example of empirical probability,
More informationChapter 8: Probability: The Mathematics of Chance
Chapter 8: Probability: The Mathematics of Chance Free-Response 1. A spinner with regions numbered 1 to 4 is spun and a coin is tossed. Both the number spun and whether the coin lands heads or tails is
More informationMath 166: Topics in Contemporary Mathematics II
Math 166: Topics in Contemporary Mathematics II Xin Ma Texas A&M University September 30, 2017 Xin Ma (TAMU) Math 166 September 30, 2017 1 / 11 Last Time Factorials For any natural number n, we define
More information1. How many subsets are there for the set of cards in a standard playing card deck? How many subsets are there of size 8?
Math 1711-A Summer 2016 Final Review 1 August 2016 Time Limit: 170 Minutes Name: 1. How many subsets are there for the set of cards in a standard playing card deck? How many subsets are there of size 8?
More informationHomework #1-19: Use the Counting Principle to answer the following questions.
Section 4.3: Tree Diagrams and the Counting Principle Homework #1-19: Use the Counting Principle to answer the following questions. 1) If two dates are selected at random from the 365 days of the year
More informationProbability Quiz Review Sections
CP1 Math 2 Unit 9: Probability: Day 7/8 Topic Outline: Probability Quiz Review Sections 5.02-5.04 Name A probability cannot exceed 1. We express probability as a fraction, decimal, or percent. Probabilities
More informationMAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability. Preliminary Concepts, Formulas, and Terminology
MAT104: Fundamentals of Mathematics II Summary of Counting Techniques and Probability Preliminary Concepts, Formulas, and Terminology Meanings of Basic Arithmetic Operations in Mathematics Addition: Generally
More information3 The multiplication rule/miscellaneous counting problems
Practice for Exam 1 1 Axioms of probability, disjoint and independent events 1. Suppose P (A) = 0.4, P (B) = 0.5. (a) If A and B are independent, what is P (A B)? What is P (A B)? (b) If A and B are disjoint,
More information2008 High School Math Contest Draft #3
2008 High School Math Contest Draft #3 Elon University April, 2008 Note : In general, figures are drawn not to scale! All decimal answers should be rounded to two decimal places. 1. On average, how often
More information6. In how many different ways can you answer 10 multiple-choice questions if each question has five choices?
Pre-Calculus Section 4.1 Multiplication, Addition, and Complement 1. Evaluate each of the following: a. 5! b. 6! c. 7! d. 0! 2. Evaluate each of the following: a. 10! b. 20! 9! 18! 3. In how many different
More informationPrecalculus Second Semester Final Review
Precalculus Second Semester Final Review This packet will prepare you for your second semester final exam. You will find a formula sheet on the back page; these are the same formulas you will receive for
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. C) 1 6
Math 300 Exam 4 Review (Chapter 11) Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Give the probability that the spinner shown would land on
More informationProbability Theory. Mohamed I. Riffi. Islamic University of Gaza
Probability Theory Mohamed I. Riffi Islamic University of Gaza Table of contents 1. Chapter 1 Probability Properties of probability Counting techniques 1 Chapter 1 Probability Probability Theorem P(φ)
More informationSection 6.5 Conditional Probability
Section 6.5 Conditional Probability Example 1: An urn contains 5 green marbles and 7 black marbles. Two marbles are drawn in succession and without replacement from the urn. a) What is the probability
More informationArkansas Tech University MATH 1203: Trigonometry Dr. Marcel B. Finan. Review Problems for Test #3
Arkansas Tech University MATH 1203: Trigonometry Dr. Marcel B. Finan Review Problems for Test #3 Exercise 1 The following is one cycle of a trigonometric function. Find an equation of this graph. Exercise
More informationMath Problem Set 5. Name: Neal Nelson. Show Scored View #1 Points possible: 1. Total attempts: 2
Math Problem Set 5 Show Scored View #1 Points possible: 1. Total attempts: (a) The angle between 0 and 60 that is coterminal with the 69 angle is degrees. (b) The angle between 0 and 60 that is coterminal
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
6.1 Practice Problems Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question. 1) The probability of rolling an even number on a
More informationMath 1111 Math Exam Study Guide
Math 1111 Math Exam Study Guide The math exam will cover the mathematical concepts and techniques we ve explored this semester. The exam will not involve any codebreaking, although some questions on the
More informationChapter 4: Introduction to Probability
MTH 243 Chapter 4: Introduction to Probability Suppose that we found that one of our pieces of data was unusual. For example suppose our pack of M&M s only had 30 and that was 3.1 standard deviations below
More informationDeveloped by Rashmi Kathuria. She can be reached at
Developed by Rashmi Kathuria. She can be reached at . Photocopiable Activity 1: Step by step Topic Nature of task Content coverage Learning objectives Task Duration Arithmetic
More informationSuch a description is the basis for a probability model. Here is the basic vocabulary we use.
5.2.1 Probability Models When we toss a coin, we can t know the outcome in advance. What do we know? We are willing to say that the outcome will be either heads or tails. We believe that each of these
More informationChapter 1. Probability
Chapter 1. Probability 1.1 Basic Concepts Scientific method a. For a given problem, we define measures that explains the problem well. b. Data is collected with observation and the measures are calculated.
More informationAlgebra II- Chapter 12- Test Review
Sections: Counting Principle Permutations Combinations Probability Name Choose the letter of the term that best matches each statement or phrase. 1. An illustration used to show the total number of A.
More informationDefine and Diagram Outcomes (Subsets) of the Sample Space (Universal Set)
12.3 and 12.4 Notes Geometry 1 Diagramming the Sample Space using Venn Diagrams A sample space represents all things that could occur for a given event. In set theory language this would be known as the
More informationPROBABILITY TOPIC TEST MU ALPHA THETA 2007
PROBABILITY TOPI TEST MU ALPHA THETA 00. Richard has red marbles and white marbles. Richard s friends, Vann and Penelo, each select marbles from the bag. What is the probability that Vann selects red marble
More informationMGF 1106: Exam 2 Solutions
MGF 1106: Exam 2 Solutions 1. (15 points) A coin and a die are tossed together onto a table. a. What is the sample space for this experiment? For example, one possible outcome is heads on the coin and
More information4. Are events C and D independent? Verify your answer with a calculation.
Honors Math 2 More Conditional Probability Name: Date: 1. A standard deck of cards has 52 cards: 26 Red cards, 26 black cards 4 suits: Hearts (red), Diamonds (red), Clubs (black), Spades (black); 13 of
More informationProbability Review 41
Probability Review 41 For the following problems, give the probability to four decimals, or give a fraction, or if necessary, use scientific notation. Use P(A) = 1 - P(not A) 1) A coin is tossed 6 times.
More informationPLEASE MARK YOUR ANSWERS WITH AN X, not a circle! 2. (a) (b) (c) (d) (e) (a) (b) (c) (d) (e) (a) (b) (c) (d) (e)...
Math 10120, Exam I September 15, 2016 The Honor Code is in e ect for this examination. All work is to be your own. You may use a calculator. The exam lasts for 1 hour and 15 min. Be sure that your name
More informationMath 1 Unit 4 Mid-Unit Review Chances of Winning
Math 1 Unit 4 Mid-Unit Review Chances of Winning Name My child studied for the Unit 4 Mid-Unit Test. I am aware that tests are worth 40% of my child s grade. Parent Signature MM1D1 a. Apply the addition
More information