THE ALGEBRA III MIDTERM EXAM REVIEW Name. This review MUST be turned in when you take the midterm exam
|
|
- Lizbeth Moore
- 5 years ago
- Views:
Transcription
1 THE ALGEBRA III MIDTERM EXAM REVIEW Name This review MUST be turned in when you take the midterm exam
2 ALG III Midterm Review Solve and graph on a number line. 1. x x 1 5x (x 1) (4x 3) Find the slope, then calculate the slope-intercept form of the line through the two points. 4. (1, 4),(16, 11) 5. ( 13,10),( 15,) 6. (4, ),(5,) Write the equation of the line that passes through the given point, parallel to the given equation (4,5), y x ( 9,3), y x 9. 4 (3, 3), y x 1 5 Write the equation of the line that passes through the given point, perpendicular to the given equation. 10. ( 1,3), y 3x (5, ), y x 1. (,5), y 4 4
3 Solve the following system of equations by graphing x y 8 x y x y 8 x 4y x y x 3y 9 Solve the following system of equations by elimination. 16. x 10y 17 4x 5y x 70y 0 4x 56y x 9y 13 6x 8y 10 Solve the following system of equations by substitution. 19. y 6x 9 7x y x y 3 7x 4y x 3 y 15 6x y 1 Solving the following word problem using systems of linear equations.. Dennis mowed his next door neighbor s lawn for a handful of dimes and nickels, 80 coins in all. Upon completing the job he counted out the coins and it came to $6.60. How many of each coin did he earn?
4 3. On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $ It turns out that the doughnuts were more popular than the coffee. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.5. How much was each cup of coffee? 4. The perimeter of a rectangular garden is 6 feet. The length is 1 foot more than twice the width. Find the dimension of the garden. Graph the following system of linear Inequalities. 5. x y 4 3x y 3 6. x 3y 6 x y 7. 4 x 3 y 3 x 3y 6 Factor Completely 8. 3x 39x x x x 35x x 19x x 45x x 6x x 4x x 70x 37x 38. 3x 7 x
5 x 35x 4x x 8x 49x x 1x 5x x 0x 4x x x 1x x 1x 5x 0 Solve by factoring 45. 3x 6 x 46. x 5x x 56 6 x Solve by taking the square root x x x 5 4 Solve by using the quadratic formula 51. 4x 17 4 x 5. 6x 9x x 1 x Solve by completing the square 54. x 18x x 10x x 14x 39 0
6 Find the Axis of Symmetry, the vertex, find the x-intercepts if possible, find the y-intercept. Graph the equation, be sure to have points on either side of the vertex. 57. y x x y x x y x 4x Graph the following Exponential function, make a table to show the points you graphed. Is the graph growth or decay? 51. y 5 x 5. x 1 3 Write the exponential function for the function that passes through the given points. 53. (0,3),( 1,6) 54. (0, 18),(, ) 55. (0,7),(,63) Simplify
7 Solve using common bases 6. x 1 x x x x 1 9 x x 5 x x 1 x x 3x Solve the following word problems using exponential growth or decay. 68. The number of mosquitoes at the beach has tripled every year since In 1999, there were,500 mosquitoes. Write a model for this situation. How many mosquitoes would you predict were at the beach in 005? 69. I bought a car for $5,000, but its value is depreciating at a rate of 10% per year. How much will my car be worth after 8 years? 70. From a city had a.5% annual decrease in population. If the city had,950,000 people in 000, determine the city s population in 008. Probability 1-1 Counting Principle 1) The Breakfast Special at the Country Pantry, customers can choose their eggs scrambled, fried, or poached, whole wheat, or white toast, and either orange, apple, tomato or grapefruit juice. How many different breakfast specials can a customer order? State whether the events are independent or dependent. ) choosing a president, secretary and treasurer for the French Club, assuming a student could only hold one office. 3) choosing an ice-cream flavor and choosing a topping for it. 4) choosing a marble from a bag and then choosing another marble from the bag 5) rolling a die and getting a 4, then rolling the die and getting a Solve:
8 6) The Palace of Pizza offers small, medium and large pizzas, with fourteen different toppings. How many different one-topping pizzas do they serve? 7) Alicia brought 8 t-shirts and 6 pairs of shorts to soccer camp. How many different outfits consisting of a t-shirt and a pair of shorts does she have? 1- Permutations and Combinations np r = n!/( n-r)! nc r = n!/ (n-r)!r! permutation/repetition= n!/p!q! Evaluate: 1a) 8P 1b) 7P5 1c) 10C4 1d) 1C7 ) How many four-person committees can be formed from a set of 0 people? 3) Annette has rented a summer house. She wants to select four roommates from six friends. How many combinations of four friends will she have? 4) Find the number of possibilities for putting an algebra book, a geometry book, a chemistry book an English book and a health book on a shelf. 5) How many different ways can the letters in the word MISSISSIPPI be arranged? 1-3 Probability Odds of success = sucess:fail Probability = success/total
9 1) Find the odds of an event given the probability a) 8/9 b) 3/8 c) 11/1 d) 4/11 ) Find the probability of an event given the odds a) 6:1 b) 1:8 c) 4:5 d) 3:7 3) Eight out of 100 males and 1 out of 1000 females have some form of color blindness. a) What are the odds of a male being color-blind? b) What are the odds of a female being color-blind? 4) Rachel has 4 male kittens and 7 female kittens. She picks up kittens to give to a friend. Find the probability of each selection. a) P( male) b) P( female) c) P(1 of each) 1-4 Multiplying Probability P(A and B)= P(A) P(B) P(A and B) = P(A) P(B following A) 1)Three dice are rolled to determine the number of moves in a board game for the players. a) What is the probability of the first die being a 4, the second die a 4 and the third die not a 4? b) What is the probability of the first die being a, the second die a 3 and the third die a 4? ) The 0 prizes are each listed on a chip. The contestant picks a chip from the bag. There are 11 that say laptop, 8 say trip and 1 says truck. a) Drawing at random without replacement, what is the probability of picking a laptop and then a truck? b) Drawing at random without replacement, what is the probability of picking two trips?
10 3) Two cards are drawn from a standard deck of cards. Find each probability if no replacement occurs. a) P(two diamonds) b) P(jack, then king) 4) A die rolled twice. Find the probability. a) P(, then 3) b) P(two 4 s) 5) A bowl contains 4 apples and 5 pears. Max randomly selects one, puts it back and then randomly selects another. What is the probability that both selections were pears? 6) Jack s wallet contains three$1 bills, four $5 bills, and two $10 bills. If he selects three bills in succession, then what is the probability of selecting a $10 bill, then a $5 bill, then a $1 bill if the bills are not replaced? 7) A spinner has three colors on it, red, blue and green. What is the probability of: a) spinning twice and getting red then green b) spinning twice and getting the same number both times 1-5 Adding Probability P(A or B)= P(A) + P(B) P(A or B)= P(A) + P(B) P(A and B) 1) Determine whether the events are mutually exclusive or inclusive. Then find the probability. a) the probability of drawing a King or a diamond from a standard deck of cards b)the probability of drawing a 3 or a Jack c) the probability of drawing an Ace or a face card(jack, queen, king) 1) A die is rolled. Find the probability of a) rolling a prime b) rolling at least a 5
11 c) rolling at least a 3 d) rolling less than 4 e) rolling multiples of or 3 3) Sophie has 9 rings in her jewelry box. Five are gold and 4 are silver. If she randomly selects 3 rings to wear to a party, find each probability. a) P( silver or gold) b) P(all gold or all silver) Statistics Review 1-6 Statistical Measure 1) A firm gives sales training to its newly hired employees. To determine how effective the training is, the firm compared the monthly sales of a group that has completed the training with a group that has not. Create a stem and leaf plot from the data and compare. Does the orientation program seem to be succeeding? thousands of dollars of sales last month: No Training : 19,, 34, 3,7, 43,4, 8, 3, 9, 41, 6, 8, 6,43, 40 Training : 9, 1, 39, 44, 41, 36, 37, 9, 43, 45, 8, 3, 8, 33, 36, 3
12 ) Find the mean temperature from the data? Temperature (Fahrenheit) Frequency ) Find the mean, median and mode of the data: (show work it is required on the midterm) 1,11,7,9,8,6,4,5,10,1,5 4) Create a box-and-whisker plot of ages of some of the presidents at inauguration. 4, 43, 46, 51, 51, 51, 5, 54, 55, 55, 56, 56, 56, 60, 61, 61, 64, 69
13 5) Create a stem and leaf plot from the number of food items collected during a 0 day period. 0, 1, 5, 5, 30, 3, 33, 33, 35, 36, 37, 40, 45, 5, 55, 60, 65, 70, 7, 75 a) What does the entry 5 represent in the stem and leaf plot? b) Does the data appear to be skewed to the right, skewed to the left or normally distributed? 6) Find the mean weight from the data and the standard deviation? (Round to nearest hundredth) Weight (lbs.) Frequency Mean: standard deviation
14 7) Find the mean, median and mode of the data: (round to the nearest tenth) 7, 11, 3, 8, 8, 10, 1,, Mean: median: mode: 8) Jon s recreational basketball team has had the following yearly numbers of wins over the past 15 years. Create a box-and-whisker plot of this data. Include labels and values of the five summary statistics. (round to the nearest tenth) 15, 1, 14, 5, 17, 18, 0, 18, 15, 9, 6, 1, 14, 11, 15 9) What is the difference between a sample and a population or use examples to explain it? 10) Find the mean (round to nearest tenth) and standard deviation (round to nearest hundredth) for the data below as a sample: 15, 3, 4, 11, 6, 5,, 17 sample mean: standard deviation:
15 11) Find the mean(round to nearest hundredth), standard deviation (round to nearest ten thousandth)and coefficient of variation (round to nearest tenth of a percent) for the data. Determine whether weights of the group of pre-school children or the H.S. football players is more consistent (less variable). Pre-school Weight lbs. HS Football Weight lbs Pre-school: mean: standard deviation: High School mean: standard deviation: 1) Use the data to make a histogram. Determine if the data is skewed to the right, skewed to the left or normally distributed. Weeks Number of Patients ) Find the mean(round to nearest tenth) and standard deviation (round to nearest hundredth) of the scores of the 0 people who took a nursing licensing test. (sample)
16 Score Frequency Mean: standard deviation: 14) Find the mean, standard deviation and coefficient of variation for the data. Determine whether coffee prices or gasoline prices were more stable in 004. Month Coffee $/lb. Gasoline $/gallon Jan Feb Mar Apr May June July Aug Sept Oct Nov Dec Z Score calculations 1. IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. What is the difference between Einsteins IQ and the mean? b. How many standard deviations is that? c. Convert Einstein s IQ score to a z score. d. If we consider usual IQ scores to be those that convert z scores between - and, is Einstein s IQ usual or unusual?
17 . Women s heights have a mean of 63.6 in. and a standard deviation of.5 inches. Find the z score corresponding to a woman with a height of 70 inches and determine whether the height is unusual. 3. Three students take equivalent stress tests. Which is the highest relative score (meaning which has the largest z score value)? a. A score of 144 on a test with a mean of 18 and a standard deviation of 34. b. A score of 90 on a test with a mean of 86 and a standard deviation of 18. c. A score of 18 on a test with a mean of 15 and a standard deviation of 4. For the numbers below, find the area between the mean and the z-score: a) z = 1.17 b) z = For the z-scores below, find the percentile rank (percent of individuals scoring below): a) b) Scores on the SAT form a normal distribution with 500 and 100 a) What is the minimum score necessary to be in the top 15% of the SAT distribution? b) Find the range of values that defines the middle 80% of the distribution of SAT scores (37 and 68). 7) Mrs. Appleby gave an exam to her 3 Alg II students at the end of the first semester. The scores were normally distributed with a mean score of 75 and standard deviation of 6.
18 Draw a normal distribution. Label the distribution with the mean value, and label the distribution with the corresponding values for +/- one standard deviation, +/- two standard deviations, +/- three standard deviations a) About what percent of the class would you expect to have scored between 69 and 81? b) What percent of the class would you expect to have scored between 63 and 69? c) Approximately how many students scored between 81 and 87? d) Approximately how many students scored between 63 and 8 e) What is the z-score for a student that scored 7? f) Approximately what percentage of students have z-scores between 0 and 1.7? g) Approximately what percentage of students have z-scores between 1. and 1.7? h) Approximately what percentage of students have z-scores between 0 and -1.35? i) Approximately what percentage of students have z-scores between and 1.5? h) What is the test score of a student that had a z-score of -1.4?
19
20 1-7 Normal distribution 8) Use the data to make a histogram. Determine if the data is positively skewed, negatively skewed or normally distributed. Miles run Track Team Members
21 9) The number of eggs laid per year by a particular breed of chicken is normally distributed with a mean of 5 and a standard deviation of 10 eggs. Use the sketch below to place the mean and the deviations in the correct locations: About what percent of the chickens will lay between 15 and 35 eggs per year? What percent would you expect to lay more than 45 eggs?
THE ALGEBRA III MIDTERM EXAM REVIEW Name
THE ALGEBRA III MIDTERM EXAM REVIEW Name This review MUST be turned in when you take the midterm exam OR you will not be allowed to take the midterm and will receive a ZERO for the exam. ALG III Midterm
More information2. The value of the middle term in a ranked data set is called: A) the mean B) the standard deviation C) the mode D) the median
1. An outlier is a value that is: A) very small or very large relative to the majority of the values in a data set B) either 100 units smaller or 100 units larger relative to the majority of the values
More informationChapter 13 Test Review
1. The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes. A 6 B 10 C 12 D 4 Find
More informationA B C. 142 D. 96
Data Displays and Analysis 1. stem leaf 900 3 3 4 5 7 9 901 1 1 1 2 4 5 6 7 8 8 8 9 9 902 1 3 3 3 4 6 8 9 9 903 1 2 2 3 3 3 4 7 8 9 904 1 1 2 4 5 6 8 8 What is the range of the data shown in the stem-and-leaf
More informationCoordinate Algebra 1 Common Core Diagnostic Test 1. about 1 hour and 30 minutes for Justin to arrive at work. His car travels about 30 miles per
1. When Justin goes to work, he drives at an average speed of 55 miles per hour. It takes about 1 hour and 30 minutes for Justin to arrive at work. His car travels about 30 miles per gallon of gas. If
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 informationChapter Test Form A. mean median mode. 187 Holt Algebra 1. Name Date Class. Select the best answer.
Select the best answer. 1. Use this bar graph to identify how many more candies are blue than red. A 3 B 6 C 9 D 15 Form A 2. Which type of graph would be best for displaying this data? Board Members Opinions
More informationIncoming Advanced Grade 7
Name Date Incoming Advanced Grade 7 Tell whether the two fractions form a proportion. 1. 3 16, 4 20 2. 5 30, 7 42 3. 4 6, 18 27 4. Use the ratio table to find the unit rate in dollars per ounce. Order
More information13-6 Probabilities of Mutually Exclusive Events
Determine whether the events are mutually exclusive or not mutually exclusive. Explain your reasoning. 1. drawing a card from a standard deck and getting a jack or a club The jack of clubs is an outcome
More informationUnit 7 Central Tendency and Probability
Name: Block: 7.1 Central Tendency 7.2 Introduction to Probability 7.3 Independent Events 7.4 Dependent Events 7.1 Central Tendency A central tendency is a central or value in a data set. We will look at
More information, x {1, 2, k}, where k > 0. (a) Write down P(X = 2). (1) (b) Show that k = 3. (4) 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). (1) Show that k = 3. Find E(X). (Total 7 marks) 2. In a game
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 informationMAT Midterm Review
MAT 120 - Midterm Review Name Identify the population and the sample. 1) When 1094 American households were surveyed, it was found that 67% of them owned two cars. Identify whether the statement describes
More informationName: Class: Date: Ver: 2
Name: Class: Date: Ver: 2 Secondary Math 1 Unit 9 Review 1. A charity randomly selected 100 donors. The mean donation amount of those donors is calculated. Identify the sample and population. Describe
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 informationDate Period State if each scenario involves a permutation or a combination. Then find the number of possibilities. ncr or npr
Algebra 2 G h2y0cic pk_ultta` LSeoxfftrwFaPrXeq qlolkco.p E nalltls jroifgvhztdso mrxeosbe^ravyeddt. Ultimate Probability Name Date Period State if each scenario involves a permutation or a combination.
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 information12.1 Practice A. Name Date. In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes.
Name Date 12.1 Practice A In Exercises 1 and 2, find the number of possible outcomes in the sample space. Then list the possible outcomes. 1. You flip three coins. 2. A clown has three purple balloons
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 informationThe point value of each problem is in the left-hand margin. You must show your work to receive any credit, except on problems 1 & 2. Work neatly.
Introduction to Statistics Math 1040 Sample Exam II Chapters 5-7 4 Problem Pages 4 Formula/Table Pages Time Limit: 90 Minutes 1 No Scratch Paper Calculator Allowed: Scientific Name: The point value of
More informationProbability and Counting Techniques
Probability and Counting Techniques Diana Pell (Multiplication Principle) Suppose that a task consists of t choices performed consecutively. Suppose that choice 1 can be performed in m 1 ways; for each
More informationx y
1. Find the mean of the following numbers: ans: 26.25 3, 8, 15, 23, 35, 37, 41, 48 2. Find the median of the following numbers: ans: 24 8, 15, 2, 23, 41, 83, 91, 112, 17, 25 3. Find the sample standard
More informationMGF 1106 Final Exam Review 9) {5} D 10) D B 11) U
MGF 1106 Final Exam Review Use inductive reasoning to predict the next number in the sequence. 1) 7, -14, 28, -56, 112 Find n(a) for the set. 2) A = { 3, 5, 7, 9, 11} Let U = {q, r, s, t, u, v, w, x, y,
More informationName Date. Chapter 15 Final Review
Name Date Chapter 15 Final Review Tell whether the events are independent or dependent. Explain. 9) You spin a spinner twice. First Spin: You spin a 2. Second Spin: You spin an odd number. 10) Your committee
More informationChapter 3: PROBABILITY
Chapter 3 Math 3201 1 3.1 Exploring Probability: P(event) = Chapter 3: PROBABILITY number of outcomes favourable to the event total number of outcomes in the sample space An event is any collection of
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 informationMATH CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #2 - FALL DR. DAVID BRIDGE
MATH 2053 - CALCULUS & STATISTICS/BUSN - PRACTICE EXAM #2 - FALL 2009 - DR. DAVID BRIDGE MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the
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 informationIntro to Algebra Guided Notes (Unit 11)
Intro to Algebra Guided Notes (Unit 11) PA 12-1, 12-2, 12-3, 12-7 Alg 12-2, 12-3, 12-4 NAME 12-1 Stem-and-Leaf Plots Stem-and-Leaf Plot: numerical data are listed in ascending or descending order. The
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 informationAdding & Subtracting Decimals. Multiplying Decimals. Dividing Decimals
1. Write the problem vertically, lining up the decimal points. 2. Add additional zeroes at the end, if necessary, to make the numbers have the same number of decimal places. 3. Add/subtract as if the numbers
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 informationFundamental. If one event can occur m ways and another event can occur n ways, then the number of ways both events can occur is:.
12.1 The Fundamental Counting Principle and Permutations Objectives 1. Use the fundamental counting principle to count the number of ways an event can happen. 2. Use the permutations to count the number
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 informationout one marble and then a second marble without replacing the first. What is the probability that both marbles will be white?
Example: Leah places four white marbles and two black marbles in a bag She plans to draw out one marble and then a second marble without replacing the first What is the probability that both marbles will
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 informationAlgebra 1 B Semester Exam Review
Algebra 1 B 014 MCPS 013 014 Residual: Difference between the observed (actual) value and the predicted (regression) value Slope-Intercept Form of a linear function: f m b Forms of quadratic functions:
More informationIndividual 5 th Grade
5 th Grade Instructions: Problems 1 10 are multiple choice and count towards your team score. Bubble in the letter on your answer sheet. Be sure to erase all mistakes completely. 1. Which of the following
More informationProbability Review before Quiz. Unit 6 Day 6 Probability
Probability Review before Quiz Unit 6 Day 6 Probability Warm-up: Day 6 1. A committee is to be formed consisting of 1 freshman, 1 sophomore, 2 juniors, and 2 seniors. How many ways can this committee be
More informationc. If you roll the die six times what are your chances of getting at least one d. roll.
1. Find the area under the normal curve: a. To the right of 1.25 (100-78.87)/2=10.565 b. To the left of -0.40 (100-31.08)/2=34.46 c. To the left of 0.80 (100-57.63)/2=21.185 d. Between 0.40 and 1.30 for
More informationAlgebra 2- Statistics and Probability Chapter Review
Name Block Date Algebra 2- Statistics and Probability Chapter Review Statistics- Calculator Allowed with Applicable Work For exercises 1-4, tell whether the data that can be gathered about each variable
More informationMath 1116 Probability Lecture Monday Wednesday 10:10 11:30
Math 1116 Probability Lecture Monday Wednesday 10:10 11:30 Course Web Page http://www.math.ohio state.edu/~maharry/ Chapter 15 Chances, Probabilities and Odds Objectives To describe an appropriate sample
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 information2 C. 1 D. 2 4 D. 5 3 C. 25 D. 2
Discrete Math Exam Review Name:. A bag contains oranges, grapefruits, and tangerine. A piece of fruit is chosen from the bag at random. What is the probability that a grapefruit will be chosen from the
More informationName Date. Chapter 15 Final Review
Name Date Chapter 15 Final Review Tell whether the events are independent or dependent. Explain. 9) You spin a spinner twice. First Spin: You spin a 2. Second Spin: You spin an odd number. 10) Your committee
More informationAlgebra 1 Ch. 1-2 Study Guide September 12, 2012 Name: Actual test on Friday, Actual Test will be mostly multiple choice.
Algebra 1 Ch. 1-2 Study Guide September 12, 2012 Name:_ Actual test on Friday, 9-14-12 Actual Test will be mostly multiple choice. Multiple Choice Identify the choice that best completes the statement
More informationMath Mammoth Grade 6 End of the Year Test Notes
Math Mammoth Grade 6 End of the Year Test Notes This test is very long, because it contains questions on all major topics covered in Math Mammoth Grade 6 Complete Curriculum. Its main purpose is to be
More informationTHOMAS WHITHAM SIXTH FORM
THOMAS WHITHAM SIXTH FORM Handling Data Levels 6 8 S. J. Cooper Probability Tree diagrams & Sample spaces Statistical Graphs Scatter diagrams Mean, Mode & Median Year 9 B U R N L E Y C A M P U S, B U R
More information2. How many different three-member teams can be formed from six students?
KCATM 2011 Probability & Statistics 1. A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the
More informationUnit 8, Activity 1, Vocabulary Self-Awareness Chart
Unit 8, Activity 1, Vocabulary Self-Awareness Chart Vocabulary Self-Awareness Chart WORD +? EXAMPLE DEFINITION Central Tendency Mean Median Mode Range Quartile Interquartile Range Standard deviation Stem
More informationSTATISTICS and PROBABILITY GRADE 6
Kansas City Area Teachers of Mathematics 2016 KCATM Math Competition STATISTICS and PROBABILITY GRADE 6 INSTRUCTIONS Do not open this booklet until instructed to do so. Time limit: 20 minutes You may use
More informationReview: Measures of Central Tendency & Probability May 17
Algebra 1 Mrs. J. Millet Name J \f0[1tc lkzuptsah TSgoffqtBwdatrney PLELRCP.[ T kafldlf Kr^iCgPhNtIsq urgehsqekrxvberd_. Review: Measures of Central Tendency & Probability May 17 Show your work on another
More informationTest Booklet. Subject: MA, Grade: 07 MCAS th Grade Mathematics. Student name:
Test Booklet Subject: MA, Grade: 07 MCAS 2008 7th Grade Mathematics Student name: Author: Massachusetts District: Massachusetts Released Tests Printed: Monday July 09, 2012 Instructions for Test Administrator
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 informationIndependent and Mutually Exclusive Events
Independent and Mutually Exclusive Events By: OpenStaxCollege Independent and mutually exclusive do not mean the same thing. Independent Events Two events are independent if the following are true: P(A
More informationExam Time. Final Exam Review. TR class Monday December 9 12:30 2:30. These review slides and earlier ones found linked to on BlackBoard
Final Exam Review These review slides and earlier ones found linked to on BlackBoard Bring a photo ID card: Rocket Card, Driver's License Exam Time TR class Monday December 9 12:30 2:30 Held in the regular
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 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 informationLenarz Math 102 Practice Exam # 3 Name: 1. A 10-sided die is rolled 100 times with the following results:
Lenarz Math 102 Practice Exam # 3 Name: 1. A 10-sided die is rolled 100 times with the following results: Outcome Frequency 1 8 2 8 3 12 4 7 5 15 8 7 8 8 13 9 9 10 12 (a) What is the experimental probability
More informationName: Probability, Part 1 March 4, 2013
1) Assuming all sections are equal in size, what is the probability of the spinner below stopping on a blue section? Write the probability as a fraction. 2) A bag contains 3 red marbles, 4 blue marbles,
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 informationKey Concept Probability of Independent Events. Key Concept Probability of Mutually Exclusive Events. Key Concept Probability of Overlapping Events
15-4 Compound Probability TEKS FOCUS TEKS (1)(E) Apply independence in contextual problems. TEKS (1)(B) Use a problemsolving model that incorporates analyzing given information, formulating a plan or strategy,
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 Fall 2008 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 3.2 - Measures of Central Tendency
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 Fall 2008 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 3.2 - Measures of Central Tendency
More information2018 TAME Middle School Practice State Mathematics Test
2018 TAME Middle School Practice State Mathematics Test (1) Noah bowled five games. He predicts the score of the next game he bowls will be 120. Which list most likely shows the scores of Kent s first
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 informationEmpirical (or statistical) probability) is based on. The empirical probability of an event E is the frequency of event E.
Probability and Statistics Chapter 3 Notes Section 3-1 I. Probability Experiments. A. When weather forecasters say There is a 90% chance of rain tomorrow, or a doctor says There is a 35% chance of a successful
More informationGet Ready for Chapter 12
Get Ready for Chapter Statistics and Probability Diagnose Readiness You have two options for checking Prerequisite Skills. Option 2 Option Take the Quick Quiz below. Refer to the Quick Review for help.
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 informationProbability, Permutations, & Combinations LESSON 11.1
Probability, Permutations, & Combinations LESSON 11.1 Objective Define probability Use the counting principle Know the difference between combination and permutation Find probability Probability PROBABILITY:
More informationUnit 8. GRAPHING AND Data Analysis
Unit 8 GRAPHING AND Data Analysis 247 8-1 Coordinates and Graphing 9 y 8 7 6 5 4 3 2 1 x 9 8 7 6 5 4 3 2 1 1 1 2 3 4 5 6 7 8 9 2 3 4 5 6 7 8 9 248 249 250 8-1 Coordinates and Graphing NOTE: In all graphs
More informationFoundations to Algebra In Class: Investigating Probability
Foundations to Algebra In Class: Investigating Probability Name Date How can I use probability to make predictions? Have you ever tried to predict which football team will win a big game? If so, you probably
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 informationMinute Simplify: 12( ) = 3. Circle all of the following equal to : % Cross out the three-dimensional shape.
Minute 1 1. Simplify: 1( + 7 + 1) =. 7 = 10 10. Circle all of the following equal to : 0. 0% 5 100. 10 = 5 5. Cross out the three-dimensional shape. 6. Each side of the regular pentagon is 5 centimeters.
More informationLesson 3 Dependent and Independent Events
Lesson 3 Dependent and Independent Events When working with 2 separate events, we must first consider if the first event affects the second event. Situation 1 Situation 2 Drawing two cards from a deck
More informationQuiz 2 Review - on Notebook Paper Are You Ready For Your Last Quiz In Honors Math II??
Quiz 2 Review - on Notebook Paper Are You Ready For Your Last Quiz In Honors Math II?? Some things to Know, Memorize, AND Understand how to use are n What are the formulas? Pr ncr Fill in the notation
More informationName: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN. Mathematics 3201
Name: Teacher: DO NOT OPEN THE EXAMINATION PAPER UNTIL YOU ARE TOLD BY THE SUPERVISOR TO BEGIN Mathematics 20 SAMPLE MID-YEAR EXAMINATION #2 January 205 Value: 70 Marks Duration: 2 Hours General Instructions
More informationIndividual Test - Grade 5
2003 Washington State Math Championship Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth. Individual Test - Grade 5 The first 10 problems are
More informationOrder the fractions from least to greatest. Use Benchmark Fractions to help you. First try to decide which is greater than ½ and which is less than ½
Outcome G Order the fractions from least to greatest 4 1 7 4 5 3 9 5 8 5 7 10 Use Benchmark Fractions to help you. First try to decide which is greater than ½ and which is less than ½ Likelihood Certain
More informationMath 247: Continuous Random Variables: The Uniform Distribution (Section 6.1) and The Normal Distribution (Section 6.2)
Math 247: Continuous Random Variables: The Uniform Distribution (Section 6.1) and The Normal Distribution (Section 6.2) The Uniform Distribution Example: If you are asked to pick a number from 1 to 10
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 information1. A factory manufactures plastic bottles of 4 different sizes, 3 different colors, and 2 different shapes. How many different bottles are possible?
Unit 8 Quiz Review Short Answer 1. A factory manufactures plastic bottles of 4 different sizes, 3 different colors, and 2 different shapes. How many different bottles are possible? 2. A pizza corner offers
More informationFinite Math B, Chapter 8 Test Review Name
Finite Math B, Chapter 8 Test Review Name Evaluate the factorial. 1) 6! A) 720 B) 120 C) 360 D) 1440 Evaluate the permutation. 2) P( 10, 5) A) 10 B) 30,240 C) 1 D) 720 3) P( 12, 8) A) 19,958,400 B) C)
More informationName: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam
Name: Period: Date: 7 th Pre-AP: Probability Review and Mini-Review for Exam 4. Mrs. Bartilotta s mathematics class has 7 girls and 3 boys. She will randomly choose two students to do a problem in front
More informationCHAPTER 6 PROBABILITY. Chapter 5 introduced the concepts of z scores and the normal curve. This chapter takes
CHAPTER 6 PROBABILITY Chapter 5 introduced the concepts of z scores and the normal curve. This chapter takes these two concepts a step further and explains their relationship with another statistical concept
More informationDate. Probability. Chapter
Date Probability Contests, lotteries, and games offer the chance to win just about anything. You can win a cup of coffee. Even better, you can win cars, houses, vacations, or millions of dollars. Games
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 informationMathematics 3201 Test (Unit 3) Probability FORMULAES
Mathematics 3201 Test (Unit 3) robability Name: FORMULAES ( ) A B A A B A B ( A) ( B) ( A B) ( A and B) ( A) ( B) art A : lace the letter corresponding to the correct answer to each of the following in
More informationProbability Warm-Up 2
Probability Warm-Up 2 Directions Solve to the best of your ability. (1) Write out the sample space (all possible outcomes) for the following situation: A dice is rolled and then a color is chosen, blue
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 informationExam III Review Problems
c Kathryn Bollinger and Benjamin Aurispa, November 10, 2011 1 Exam III Review Problems Fall 2011 Note: Not every topic is covered in this review. Please also take a look at the previous Week-in-Reviews
More informationSecond Semester SOL Review. 1) What are the three ways to show a relation? First way: second way: third way:
Section 1: Relations and Functions (7.12) Second Semester SOL Review 1) What are the three ways to show a relation? First way: Second way: Third way: 2) Identify the Domain and the Range of the relation:
More informationAlgebra II. Slide 1 / 241. Slide 2 / 241. Slide 3 / 241. Probability and Statistics. Table of Contents click on the topic to go to that section
Slide 1 / 241 Slide 2 / 241 Algebra II Probability and Statistics 2016-01-15 www.njctl.org Table of Contents click on the topic to go to that section Slide 3 / 241 Sets Independence and Conditional Probability
More informationFAVORITE MEALS NUMBER OF PEOPLE Hamburger and French fries 17 Spaghetti 8 Chili 12 Vegetarian delight 3
Probability 1. Destiny surveyed customers in a restaurant to find out their favorite meal. The results of the survey are shown in the table. One person in the restaurant will be picked at random. Based
More informationName Class Elizabeth Blackwell MS 210Q- ARP 7th Grade Winter Recess Assignment
Name lass Elizabeth lackwell MS 0Q- RP 7th Grade Winter Recess ssignment The following assignment has been provided for students for the Mid-Winter Recess. Please assist your child in completing this assignment
More informationCore Connections, Course 2 Checkpoint Materials
Core Connections, Course Checkpoint Materials Notes to Students (and their Teachers) Students master different skills at different speeds. No two students learn exactly the same way at the same time. At
More informationTotal Marks : 100 READ THE FOLLOWING DIRECTIONS CAREFULLY:
Mathematics Writing Time : 2 Hours Total Marks : 100 READ THE FOLLOWING DIRECTIONS CAREFULLY: 1. Do not write in the first fifteen minutes. This time is to be spent on reading the questions. After having
More information2 A fair coin is flipped 8 times. What is the probability of getting more heads than tails? A. 1 2 B E. NOTA
For all questions, answer E. "NOTA" means none of the above answers is correct. Calculator use NO calculators will be permitted on any test other than the Statistics topic test. The word "deck" refers
More information11-1 Practice. Designing a Study
11-1 Practice Designing a Study Determine whether each situation calls for a survey, an experiment, or an observational study. Explain your reasoning. 1. You want to compare the health of students who
More informationChapter 0: Preparing for Advanced Algebra
Lesson 0-1: Representing Functions Date: Example 1: Locate Coordinates Name the quadrant in which the point is located. Example 2: Identify Domain and Range State the domain and range of each relation.
More information