Problem Solving Approach to Mathematics for Elementary School Teachers
Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
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Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba…
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
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Chapter 9.4B, Problem 23A
To determine

The number of distinct numbers Amy can form using one or more of the digits.

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Problem #5 Suppose you flip a two sided fair coin ("heads" or "tails") 8 total times. a). How many ways result in 6 tails and 2 heads? b). How many ways result in 2 tails and 6 heads? c). Compare your answers to part (a) and (b) and explain in a few sentences why the comparison makes sense.
Burger Dome sells hamburgers, cheeseburgers, french fries, soft drinks, and milk shakes, as well as a limited number of specialty items and dessert selections. Although Burger Dome would like to serve each customer immediately, at times more customers arrive than can be handled by the Burger Dome food service staff. Thus, customers wait in line to place and receive their orders. Burger Dome analyzed data on customer arrivals and concluded that the arrival rate is 30 customers per hour. Burger Dome also studied the order-filling process and found that a single employee can process an average of 44 customer orders per hour. Burger Dome is concerned that the methods currently used to serve customers are resulting in excessive waiting times and a possible loss of sales. Management wants to conduct a waiting line study to help determine the best approach to reduce waiting times and improve service. Suppose Burger Dome establishes two servers but arranges the restaurant layout so that an…

Chapter 9 Solutions

Problem Solving Approach to Mathematics for Elementary School Teachers

Ch. 9.1 - Prob. 1MCCh. 9.1 - Prob. 2MCCh. 9.1 - Prob. 3MCCh. 9.1 - Prob. 4MCCh. 9.1 - Prob. 5MCCh. 9.1 - Prob. 6MCCh. 9.1 - If possible, for each of the following letters,...Ch. 9.1 - Prob. 8MCCh. 9.1 - Jose claims that if the following spinner is spun...Ch. 9.1 - Zoe is playing a game in which she draws one ball...
Ch. 9.1 - Ian and Sophia flip a fair coin ten times and...Ch. 9.1 - A certain game has four mutually exclusive...Ch. 9.1 - Prob. 13MCCh. 9.1 - A student observes the following spinner and...Ch. 9.1 - Prob. 15MCCh. 9.1 - Prob. 16MCCh. 9.1 - Prob. 17MCCh. 9.1 - Board games that use dice sometimes give children...Ch. 9.1 - Suppose the figure in exercise 14 is a is a...Ch. 9.1 - On the School Book Page on page 501, complete the...Ch. 9.1 - Mark has nine shirts in his closet as shown. If...Ch. 9.1 - Ms. Livingstons class spins the arrow on the...Ch. 9.1 - Lori has a choice of two spinners. She wants the...Ch. 9.1 - Each of the 6 faces of a fair cube is painted red,...Ch. 9.1 - Prob. 5NAEPCh. 9.1A - Consider the experiment of drawing a single card...Ch. 9.1A - The experimental probability of rolling a 4 on a...Ch. 9.1A - Each letter of the alphabet is written on a...Ch. 9.1A - The spinner shown is spun. Find the probability of...Ch. 9.1A - A card is selected from a ordinary deck of 52...Ch. 9.1A - Suppose a drawer contains six black socks, four...Ch. 9.1A - Prob. 7ACh. 9.1A - According to a weather report, there is a 30...Ch. 9.1A - A set of dolls is in a packing crate: 17 with...Ch. 9.1A - The plays generally considered the tragedies by...Ch. 9.1A - Prob. 11ACh. 9.1A - Prob. 12ACh. 9.1A - A calculus class is composed of 35 men and 45...Ch. 9.1A - A box contains five white balls, three black balls...Ch. 9.1A - Prob. 16ACh. 9.1A - If you flipped a fair coin 15 times and got 15...Ch. 9.1A - A witness identified all the digits on a license...Ch. 9.1A - Prob. 20ACh. 9.1A - If A and B are mutually exclusive, P(A)=0.3, and...Ch. 9.1A - How many times would you except to obtain a 4 on a...Ch. 9.1B - Prob. 1ACh. 9.1B - Prob. 2ACh. 9.1B - In each of the following scenarios, sketch a...Ch. 9.1B - Prob. 4ACh. 9.1B - Prob. 5ACh. 9.1B - Prob. 6ACh. 9.1B - Prob. 7ACh. 9.1B - Prob. 8ACh. 9.1B - Prob. 9ACh. 9.1B - Prob. 10ACh. 9.1B - Prob. 11ACh. 9.1B - Prob. 12ACh. 9.1B - Prob. 13ACh. 9.1B - Prob. 14ACh. 9.1B - Prob. 17ACh. 9.1B - What is the probability of choosing a continent at...Ch. 9.1B - Prob. 20ACh. 9.1B - Prob. 21ACh. 9.1B - How many times would you except to obtain a 6 on a...Ch. 9.2 - Six fair dice are thrown at the same time. If...Ch. 9.2 - A witness to a crime observed that the criminal...Ch. 9.2 - You are given three white balls, one red ball, and...Ch. 9.2 - Prob. 4MCCh. 9.2 - Prob. 5MCCh. 9.2 - Make up a game in which the players have an equal...Ch. 9.2 - How can the faces of two cubes be numbered so that...Ch. 9.2 - Mathematical Connections Design a pair of...Ch. 9.2 - An experiment consists of tossing a fair coin...Ch. 9.2 - Prob. 11MCCh. 9.2 - A student would like to know the difference...Ch. 9.2 - In response to the question, If a fair die is...Ch. 9.2 - A student is not sure when to add and when to...Ch. 9.2 - There are two boxes with different-colored balls....Ch. 9.2 - Alberto is to spin the spinners shown and compute...Ch. 9.2 - Match the following phrase to the probability that...Ch. 9.2 - A date in the month of April is chosen at random....Ch. 9.2 - Three men were walking down a street talking when...Ch. 9.2 - A roulette wheel has 38 slots around the rim; 36...Ch. 9.2 - If the roulette wheel in exercise 21 is spun 190...Ch. 9.2 - Prob. 1NAEPCh. 9.2 - Prob. 2NAEPCh. 9.2 - Prob. 3NAEPCh. 9.2 - National Assessment of Educational Progress NAEP...Ch. 9.2A - Assessment A pair of fair dice is rolled. Find the...Ch. 9.2A - Assessment a. A box contains three white balls and...Ch. 9.2A - Prob. 4ACh. 9.2A - An executive committee consisted of 10 members: 4...Ch. 9.2A - Assume the probability is 12 that a child born at...Ch. 9.2A - Prob. 7ACh. 9.2A - Assessment You roll a die twice and take the...Ch. 9.2A - Prob. 9ACh. 9.2A - If a person takes a five-question true-false test,...Ch. 9.2A - Assessment Rattlesnake and Paxson Colleges play...Ch. 9.2A - Consider the following dartboard where all...Ch. 9.2A - Prob. 13ACh. 9.2A - There are 40 employees in a certain firm. We know...Ch. 9.2A - Prob. 15ACh. 9.2A - When you toss a quarter 4 times, what is the...Ch. 9.2A - Prob. 17ACh. 9.2A - Prob. 18ACh. 9.2A - Prob. 19ACh. 9.2A - A bag contain 3 blue marbles, 4 red marbles, and 3...Ch. 9.2A - Assessment You roll a die twice. a. The sum of the...Ch. 9.2A - Prob. 22ACh. 9.2A - Prob. 23ACh. 9.2A - Prob. 24ACh. 9.2A - Following are three boxes containing balls. Draw a...Ch. 9.2B - Prob. 1ACh. 9.2B - Prob. 3ACh. 9.2B - Prob. 4ACh. 9.2B - Prob. 5ACh. 9.2B - Prob. 6ACh. 9.2B - Prob. 11ACh. 9.2B - Prob. 13ACh. 9.2B - Prob. 14ACh. 9.2B - A husband and wife discover that there is a 10...Ch. 9.2B - Prob. 16ACh. 9.2B - Prob. 17ACh. 9.2B - Prob. 21ACh. 9.2B - Prob. 22ACh. 9.2B - Assessment At her favorite coffee shop, Ashaunte...Ch. 9.2B - Assessment In box number 1, there are 4 blue...Ch. 9.3 - Prob. 1MCCh. 9.3 - Prob. 2MCCh. 9.3 - A game involves tossing two coins. A player wins...Ch. 9.3 - Prob. 4MCCh. 9.3 - Suppose we toss two fair coins. Design a fair game...Ch. 9.3 - Prob. 8MCCh. 9.3 - Prob. 9MCCh. 9.3 - At the beginning of this season, the odds listed...Ch. 9.3 - Prob. 11MCCh. 9.3 - Prob. 13MCCh. 9.3 - Prob. 14MCCh. 9.3 - Prob. 15MCCh. 9.3 - Prob. 16MCCh. 9.3 - Prob. 17MCCh. 9.3 - Prob. 18MCCh. 9.3 - Prob. 19MCCh. 9.3 - Prob. 20MCCh. 9.3 - Prob. 21MCCh. 9.3 - From a sack containing seven red marbles, eight...Ch. 9.3 - Prob. 23MCCh. 9.3 - Prob. 24MCCh. 9.3 - Prob. 25MCCh. 9.3 - Prob. 26MCCh. 9.3A - Could we use a thumb tack to simulate the birth of...Ch. 9.3A - Prob. 2ACh. 9.3A - Prob. 4ACh. 9.3A - Prob. 5ACh. 9.3A - Prob. 6ACh. 9.3A - Pick a block of two digits from the random-number...Ch. 9.3A - Prob. 8ACh. 9.3A - Prob. 10ACh. 9.3A - Prob. 11ACh. 9.3A - Prob. 12ACh. 9.3A - If the probability of a boys being born is 12, and...Ch. 9.3A - If the odds against Deborahs winning first prize...Ch. 9.3A - If the probability of the event that a randomly...Ch. 9.3A - Prob. 16ACh. 9.3A - Prob. 17ACh. 9.3A - Prob. 18ACh. 9.3A - Prob. 19ACh. 9.3A - Prob. 20ACh. 9.3A - Prob. 21ACh. 9.3A - Determine each of the following. a. What are the...Ch. 9.3A - Suppose five quarters, five dimes, fives nickels,...Ch. 9.3A - If the odds in favor of Fast Leg winning a horse...Ch. 9.3A - Prob. 25ACh. 9.3A - Carina is playing a game that costs 10 to play....Ch. 9.3A - Prob. 27ACh. 9.3A - Assessment If the probability of spilling soup on...Ch. 9.3A - Assessment A bag of grass seed is advertised as...Ch. 9.3A - Suppose you invented a game based on taking the...Ch. 9.3B - How could we use a spinner as shown below to...Ch. 9.3B - How could we use a random-digit generator or...Ch. 9.3B - Prob. 3ACh. 9.3B - Prob. 4ACh. 9.3B - Prob. 5ACh. 9.3B - Use a random-number table to estimate the...Ch. 9.3B - Prob. 10ACh. 9.3B - Prob. 11ACh. 9.3B - Prob. 12ACh. 9.3B - Prob. 13ACh. 9.3B - Prob. 14ACh. 9.3B - Two dice are rolled; find the odds against rolling...Ch. 9.3B - a. What are the odds in favor of randomly drawing...Ch. 9.3B - The probability that a person passes a test is 75....Ch. 9.3B - Prob. 18ACh. 9.3B - Prob. 19ACh. 9.3B - Determine each of the following. a. What are the...Ch. 9.3B - Prob. 21ACh. 9.3B - On a roulette wheel, half of the slots numbered 1...Ch. 9.3B - Suppose someone was playing the following dice...Ch. 9.3B - Suppose a standard six-sided die is rolled and you...Ch. 9.3B - Prob. 26ACh. 9.3B - Prob. 27ACh. 9.3B - Prob. 28ACh. 9.3B - Prob. 29ACh. 9.3B - Dean is playing a game that costs 10 to play. He...Ch. 9.4 - The terms Fundamental Counting Principle,...Ch. 9.4 - A bicycle lock has three reels, each of which...Ch. 9.4 - In how many ways can five couples be seated in a...Ch. 9.4 - Prob. 5MCCh. 9.4 - Prob. 6MCCh. 9.4 - Prob. 7MCCh. 9.4 - Prob. 8MCCh. 9.4 - Combination locks are poorly named, mainly because...Ch. 9.4 - A student does not understand the meaning of 4P0 ....Ch. 9.4 - Prob. 11MCCh. 9.4 - Prob. 12MCCh. 9.4 - Prob. 13MCCh. 9.4 - If two regular dice are tossed, what is...Ch. 9.4 - On a roulette wheel, the probability of the event...Ch. 9.4 - Prob. 1NAEPCh. 9.4 - Prob. 2NAEPCh. 9.4A - Prob. 1ACh. 9.4A - Prob. 2ACh. 9.4A - The eighth grade class at a grade school has 16...Ch. 9.4A - Prob. 4ACh. 9.4A - Carlins Pizza House offer 3 kinds of salad, 15...Ch. 9.4A - Prob. 6ACh. 9.4A - Find the number of ways to arrange the letter in...Ch. 9.4A - Prob. 8ACh. 9.4A - Assume a class has 30 members a. In how many ways...Ch. 9.4A - Prob. 10ACh. 9.4A - At a party, 28 handshakes took place. Each person...Ch. 9.4A - Prob. 12ACh. 9.4A - Postal codes in Canada consist of three letters...Ch. 9.4A - Baskin-Robbins advertises 31 flavors of ice cream....Ch. 9.4A - Prob. 15ACh. 9.4A - Prob. 16ACh. 9.4A - Prob. 17ACh. 9.4A - A five-volume numbered set of books is placed...Ch. 9.4A - Prob. 19ACh. 9.4A - Prob. 20ACh. 9.4A - From a group of 10 boys and 12 girls, a committee...Ch. 9.4A - From a group 20 Britons, 21 Italians, and 4 Danes,...Ch. 9.4A - Prob. 23ACh. 9.4A - A company is setting up four-digit ID numbers for...Ch. 9.4A - Your English teacher asks that you read any three...Ch. 9.4A - Prob. 26ACh. 9.4B - Prob. 1ACh. 9.4B - Prob. 2ACh. 9.4B - Assessment Radio stations in the United States...Ch. 9.4B - Prob. 5ACh. 9.4B - Find the number of ways to arrange the letters in...Ch. 9.4B - Prob. 7ACh. 9.4B - Prob. 8ACh. 9.4B - Prob. 10ACh. 9.4B - How many different 12-person juries can be...Ch. 9.4B - Prob. 12ACh. 9.4B - A club selects an executive committee of 5 and...Ch. 9.4B - Prob. 18ACh. 9.4B - A committee of three people is selected at random...Ch. 9.4B - Prob. 20ACh. 9.4B - Prob. 21ACh. 9.4B - Jackson has 20 books, but has space for only 12 on...Ch. 9.4B - Prob. 23ACh. 9.4B - In how many ways can a group of 9 people stand in...Ch. 9.4B - How many arrangements can be made from the letters...Ch. 9.CR - Prob. 1CRCh. 9.CR - Prob. 2CRCh. 9.CR - Prob. 3CRCh. 9.CR - Art works as a clown on weekends. He has three...Ch. 9.CR - Prob. 5CRCh. 9.CR - Prob. 6CRCh. 9.CR - Prob. 7CRCh. 9.CR - Prob. 8CRCh. 9.CR - Prob. 9CRCh. 9.CR - Prob. 10CRCh. 9.CR - Prob. 11CRCh. 9.CR - Prob. 12CRCh. 9.CR - Prob. 13CRCh. 9.CR - A game consists of rolling two dice. Rolling...Ch. 9.CR - Prob. 15CRCh. 9.CR - In a special raffle, a ticket costs 2. You mark...Ch. 9.CR - Prob. 17CRCh. 9.CR - Prob. 18CRCh. 9.CR - Prob. 19CRCh. 9.CR - Prob. 20CRCh. 9.CR - Prob. 21CRCh. 9.CR - Prob. 22CRCh. 9.CR - Prob. 23CRCh. 9.CR - Prob. 24CRCh. 9.CR - Prob. 25CRCh. 9.CR - Prob. 26CRCh. 9.CR - Prob. 28CRCh. 9.CR - Suppose you spin a spinner and then roll a die....Ch. 9.CR - Prob. 30CRCh. 9.CR - Prob. 31CRCh. 9.CR - Prob. 32CRCh. 9.CR - Prob. 33CRCh. 9.CR - Prob. 34CRCh. 9.CR - Prob. 35CRCh. 9.CR - Prob. 36CRCh. 9.CR - Prob. 37CRCh. 9.CR - Prob. 38CRCh. 9.CR - Prob. 39CRCh. 9 - Now Try This Use StatCrunch or another coin...Ch. 9 - NOW TRY THIS a. In an experiment of tossing a fair...Ch. 9 - Prob. 4NTCh. 9 - Prob. 6NTCh. 9 - Prob. 7NTCh. 9 - Prob. 8NTCh. 9 - Prob. 9NT
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