Basic Technical Mathematics with Calculus (11th Edition)
11th Edition
ISBN: 9780134437736
Author: Allyn J. Washington, Richard Evans
Publisher: PEARSON
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Chapter 22.5, Problem 17E
To determine
The values of central line, UCL(p) and LCL(p)for the proportion of accounts with errors.
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-
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p − 1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
p-1
2
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
23
32
how come?
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
The set T is the subset of these residues exceeding
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
Let n = 7, let p = 23 and let S be the set of least positive residues mod p of the first (p-1)/2
multiple of n, i.e.
n mod p, 2n mod p, ...,
2
p-1
-n mod p.
Let T be the subset of S consisting of those residues which exceed p/2.
Find the set T, and hence compute the Legendre symbol (7|23).
The first 11 multiples of 7 reduced mod 23 are
7, 14, 21, 5, 12, 19, 3, 10, 17, 1, 8.
23
The set T is the subset of these residues exceeding
2°
So T = {12, 14, 17, 19, 21}.
By Gauss' lemma (Apostol Theorem 9.6),
(7|23) = (−1)|T| = (−1)5 = −1.
how come?
Shading a Venn diagram with 3 sets: Unions, intersections, and...
The Venn diagram shows sets A, B, C, and the universal set U.
Shade (CUA)' n B on the Venn diagram.
U
Explanation
Check
A-
B
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Chapter 22 Solutions
Basic Technical Mathematics with Calculus (11th Edition)
Ch. 22.1 - In Example 3, change the class limits to 1.0, 2.0,...Ch. 22.1 - Prob. 2ECh. 22.1 - In Exercises 3-6, indicate whether the variable is...Ch. 22.1 - In Exercises 3-6, indicate whether the variable is...Ch. 22.1 - In Exercises 3-6, indicate whether the variable is...Ch. 22.1 - In Exercises 3-6, indicate whether the variable is...Ch. 22.1 - In Exercises 7-10, use the following data. In a...Ch. 22.1 - In Exercises 7-10, use the following data. In a...Ch. 22.1 - In Exercises 7–10, use the following data. In a...Ch. 22.1 - In Exercises 7–10, use the following data. In a...
Ch. 22.1 - In Exercises 11–14, use the following data. In a...Ch. 22.1 - In Exercises 11–14, use the following data. In a...Ch. 22.1 - In Exercises 11–14, use the following data. In a...Ch. 22.1 - In Exercises 11–14, use the following data. In a...Ch. 22.1 - In Exercises 15–18, use the following data. In...Ch. 22.1 - In Exercises 15–18, use the following data. In...Ch. 22.1 - In Exercises 15-18, use the following data. In...Ch. 22.1 - In Exercises 15-18, use the following data. In...Ch. 22.1 - In Exercises 19-24, use the following data. In a...Ch. 22.1 - In Exercises 19-24, use the following data. In a...Ch. 22.1 - In Exercises 19-24, use the following data. In a...Ch. 22.1 - In Exercises 19-24, use the following data. In a...Ch. 22.1 - In Exercises 19-24, use the following data. In a...Ch. 22.1 - In Exercises 19-24, use the following data. In a...Ch. 22.1 - In Exercises 25 and 26, use the following data....Ch. 22.1 - In Exercises 25 and 26, use the following data....Ch. 22.1 - In Exercises 27 and 28, use the following data....Ch. 22.1 - In Exercises 27 and 28, use the following data....Ch. 22.1 - The data in the table show the global mean...Ch. 22.1 - The data in the following table show the...Ch. 22.2 - For the following numbers, find the indicated...Ch. 22.2 - For the following numbers, find the indicated...Ch. 22.2 - For the following numbers, find the indicated...Ch. 22.2 - Prob. 1ECh. 22.2 - Prob. 2ECh. 22.2 - Prob. 3ECh. 22.2 - In Exercises 1–4, delete the 5 from the data...Ch. 22.2 - In Exercises 5–16, use the following sets of...Ch. 22.2 - In Exercises 5–16, use the following sets of...Ch. 22.2 - In Exercises 5–16, use the following sets of...Ch. 22.2 - In Exercises 5–16, use the following sets of...Ch. 22.2 - In Exercises 5–16, use the following sets of...Ch. 22.2 - In Exercises 5–16, use the following sets of...Ch. 22.2 - Prob. 11ECh. 22.2 - Prob. 12ECh. 22.2 - Prob. 13ECh. 22.2 - Prob. 14ECh. 22.2 - Prob. 15ECh. 22.2 - Prob. 16ECh. 22.2 - In Exercises 17-34, the required data are those in...Ch. 22.2 - In Exercises 17-34, the required data are those in...Ch. 22.2 - In Exercises 17–34, the required data are those in...Ch. 22.2 - In Exercises 17–34, the required data are those in...Ch. 22.2 - Prob. 21ECh. 22.2 - Prob. 22ECh. 22.2 - Prob. 23ECh. 22.2 - Prob. 24ECh. 22.2 - Prob. 25ECh. 22.2 - Prob. 26ECh. 22.2 - In Exercises 17–34, the required data are those in...Ch. 22.2 - Prob. 28ECh. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - In Exercises 29–42, find the indicated measure of...Ch. 22.2 - Add $100 to each of the salaries in Exercise 29....Ch. 22.2 - Multiply each of the salaries in Exercise 29 by 2....Ch. 22.2 - Change the final salary in Exercise 29 to $4000,...Ch. 22.2 - Find the median and mode of the salaries indicated...Ch. 22.3 - Find the standard deviation of the first eight...Ch. 22.3 - Prob. 1ECh. 22.3 - Prob. 2ECh. 22.3 - Prob. 3ECh. 22.3 - Prob. 4ECh. 22.3 - Prob. 5ECh. 22.3 - Prob. 6ECh. 22.3 - Prob. 7ECh. 22.3 - In Exercises 3–14, use the following sets of...Ch. 22.3 - Prob. 9ECh. 22.3 - Prob. 10ECh. 22.3 - Prob. 11ECh. 22.3 - Prob. 12ECh. 22.3 - Prob. 13ECh. 22.3 - Prob. 14ECh. 22.3 - Prob. 15ECh. 22.3 - Prob. 16ECh. 22.3 - Prob. 17ECh. 22.3 - Prob. 18ECh. 22.3 - Prob. 19ECh. 22.3 - Prob. 20ECh. 22.3 - Prob. 21ECh. 22.3 - Prob. 22ECh. 22.4 - Prob. 1PECh. 22.4 - Prob. 2PECh. 22.4 - Prob. 1ECh. 22.4 - In Exercises 1–4, make the given changes in the...Ch. 22.4 - Prob. 3ECh. 22.4 - Prob. 4ECh. 22.4 - Prob. 5ECh. 22.4 - Prob. 6ECh. 22.4 - Prob. 7ECh. 22.4 - In Exercises 5–8, use the following information....Ch. 22.4 -
In Exercises 9–12, use the following information....Ch. 22.4 -
In Exercises 9–12, use the following information....Ch. 22.4 -
In Exercises 9–12, use the following information....Ch. 22.4 -
In Exercises 9–12, use the following information....Ch. 22.4 -
In Exercises 13–16, use the following data. It...Ch. 22.4 -
In Exercises 13–16, use the following data. It...Ch. 22.4 -
In Exercises 13–16, use the following data. It...Ch. 22.4 -
In Exercises 13–16, use the following data. It...Ch. 22.4 -
In Exercises 17–24, use the following data. The...Ch. 22.4 - Prob. 18ECh. 22.4 - Prob. 19ECh. 22.4 - Prob. 20ECh. 22.4 -
In Exercises 17–24, use the following data. The...Ch. 22.4 - Prob. 22ECh. 22.4 - Prob. 23ECh. 22.4 - Prob. 24ECh. 22.4 -
In Exercises 25–30, solve the given problems,
25....Ch. 22.4 - Prob. 26ECh. 22.4 - Prob. 27ECh. 22.4 - Prob. 28ECh. 22.4 - Prob. 29ECh. 22.4 - Prob. 30ECh. 22.5 - Is either the mean or range affected if subgroup...Ch. 22.5 - Prob. 2PECh. 22.5 - Prob. 1ECh. 22.5 - Prob. 2ECh. 22.5 - Prob. 3ECh. 22.5 - Prob. 4ECh. 22.5 - Prob. 5ECh. 22.5 - Prob. 6ECh. 22.5 - Prob. 7ECh. 22.5 - Prob. 8ECh. 22.5 - In Exercise 9–12, use the following data.
Five AC...Ch. 22.5 - In Exercise 9–12, use the following data.
Five AC...Ch. 22.5 - Prob. 11ECh. 22.5 - Prob. 12ECh. 22.5 - Prob. 13ECh. 22.5 - Prob. 14ECh. 22.5 - Prob. 15ECh. 22.5 - In Exercises 13–16, use the following...Ch. 22.5 - In Exercises 17 and 18, use the following data.
A...Ch. 22.5 - Prob. 18ECh. 22.5 - Prob. 19ECh. 22.5 - Prob. 20ECh. 22.6 - In Exercises 1–14, find the equation of the...Ch. 22.6 - EXERCISE 22.6
In Exercises 1–14, find the equation...Ch. 22.6 - EXERCISE 22.6
In Exercises 1–14, find the equation...Ch. 22.6 - Prob. 4ECh. 22.6 - Prob. 5ECh. 22.6 - Prob. 6ECh. 22.6 - Prob. 7ECh. 22.6 - Prob. 8ECh. 22.6 - Prob. 9ECh. 22.6 - Prob. 10ECh. 22.6 - Prob. 11ECh. 22.6 - Prob. 12ECh. 22.6 - Prob. 13ECh. 22.6 - Prob. 14ECh. 22.6 - Prob. 15ECh. 22.6 - Prob. 16ECh. 22.6 - Prob. 17ECh. 22.6 - Prob. 18ECh. 22.7 - Prob. 1ECh. 22.7 - Prob. 2ECh. 22.7 - Prob. 3ECh. 22.7 - Prob. 4ECh. 22.7 - Prob. 5ECh. 22.7 - Prob. 6ECh. 22.7 - Prob. 7ECh. 22.7 - Prob. 8ECh. 22.7 - Prob. 9ECh. 22.7 - Prob. 10ECh. 22.7 - Prob. 11ECh. 22.7 - Prob. 12ECh. 22 - Prob. 1RECh. 22 - Determine each of the following as being either...Ch. 22 - Determine each of the following as being either...Ch. 22 - Prob. 4RECh. 22 - Prob. 5RECh. 22 - Prob. 6RECh. 22 - Prob. 7RECh. 22 - Prob. 8RECh. 22 - Prob. 9RECh. 22 - Prob. 10RECh. 22 - Prob. 11RECh. 22 - Prob. 12RECh. 22 - Prob. 13RECh. 22 - Prob. 14RECh. 22 - Prob. 15RECh. 22 - Prob. 16RECh. 22 - Prob. 17RECh. 22 - Prob. 18RECh. 22 - Prob. 19RECh. 22 - Prob. 20RECh. 22 - Prob. 21RECh. 22 - Prob. 22RECh. 22 - Prob. 23RECh. 22 - Prob. 24RECh. 22 - Prob. 25RECh. 22 - Prob. 26RECh. 22 - Prob. 27RECh. 22 - Prob. 28RECh. 22 - Prob. 29RECh. 22 - Prob. 30RECh. 22 - Prob. 31RECh. 22 - Prob. 32RECh. 22 - Prob. 33RECh. 22 - Prob. 34RECh. 22 - Prob. 35RECh. 22 - Prob. 36RECh. 22 - Prob. 37RECh. 22 - Prob. 38RECh. 22 - Prob. 39RECh. 22 - Prob. 40RECh. 22 - Prob. 41RECh. 22 - Prob. 42RECh. 22 - Prob. 43RECh. 22 - Prob. 44RECh. 22 - Prob. 45RECh. 22 - Prob. 46RECh. 22 - Prob. 47RECh. 22 - Prob. 48RECh. 22 - Prob. 49RECh. 22 - Prob. 50RECh. 22 - Prob. 51RECh. 22 - Prob. 52RECh. 22 - Prob. 53RECh. 22 - Prob. 54RECh. 22 - Prob. 55RECh. 22 - Prob. 56RECh. 22 - Prob. 57RECh. 22 - Prob. 58RECh. 22 - Prob. 59RECh. 22 - Prob. 60RECh. 22 - Prob. 61RECh. 22 - Prob. 1PTCh. 22 - Prob. 2PTCh. 22 - Prob. 3PTCh. 22 - Prob. 4PTCh. 22 - Prob. 5PTCh. 22 - Prob. 6PTCh. 22 - Prob. 7PTCh. 22 - Prob. 8PTCh. 22 - Prob. 9PTCh. 22 - In Problems 9–11, use the following information....Ch. 22 - Prob. 11PTCh. 22 - Prob. 12PTCh. 22 - Prob. 13PTCh. 22 - Prob. 14PT
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