A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

12th Edition

ISBN: 9780133865479

Author: Rick Billstein, Shlomo Libeskind, Johnny Lott

Publisher: PEARSON

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Textbook Question

Chapter 4.2, Problem 12MC

Mathematical Connections

a. In which of the following intervals are there more primes? Why?

i. 0 − 99 ii. 100 − 199

b. What is the longest string of consecutive composite numbers in the given intervals?

c. How many twins primes are there in each interval?

d. What patterns, if any, do you see for any of the preceding questions? Predict what might happen in other intervals.

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Chapter 4.2, Problem 11MC

Chapter 4.2, Problem 14MC

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1. 2. Show that the following are not logically equivalent by finding a counterexample: (p^q) →r and (db) V (d←d) Show that the following is not a contradiction by finding a counterexample: (pV-q) AqA (pv¬q Vr) 3. Here is a purported proof that (pq) ^ (q → p) = F: (db) v (bd) = (db) v (bd) =(qVp) A (g→p) = (¬¬q V ¬p) ^ (q→ p) (db) V (db) = =¬(a→p)^(a→p) = (gp) ^¬(a → p) =F (a) Show that (pq) ^ (q→p) and F are not logically equivalent by finding a counterex- ample. (b) Identify the error(s) in this proof and justify why they are errors. Justify the other steps with their corresponding laws of propositional logic.

Question 2: When John started his first job, his first end-of-year salary was $82,500. In the following years, he received salary raises as shown in the following table. Fill the Table: Fill the following table showing his end-of-year salary for each year. I have already provided the end-of-year salaries for the first three years. Calculate the end-of-year salaries for the remaining years using Excel. (If you Excel answer for the top 3 cells is not the same as the one in the following table, your formula / approach is incorrect) (2 points) Geometric Mean of Salary Raises: Calculate the geometric mean of the salary raises using the percentage figures provided in the second column named “% Raise”. (The geometric mean for this calculation should be nearly identical to the arithmetic mean. If your answer deviates significantly from the mean, it's likely incorrect. 2 points) Hint for the first part of question 2: To assist you with filling out the table in the first part of the question,…

Chapter 4 Solutions

A Problem Solving Approach to Mathematics for Elementary School Teachers, Books a la Carte Edition plus NEW MyLab Math with Pearson eText - Access Card Package (12th Edition)

Ch. 4.1 - Reasoning Prove the following statements, assuming...Ch. 4.1 - A customer wants to mail a package. The postal...Ch. 4.1 - Is the areain cm2 of each of the following...Ch. 4.1 - Prob. 5MC Ch. 4.1 - A number in which each digit except 0 appears...Ch. 4.1 - Prob. 7MC Ch. 4.1 - Three tiles marked x, yandz need three different...Ch. 4.1 - Prob. 10MC Ch. 4.1 - Prob. 11MC Ch. 4.1 - Prob. 12MC

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