
EBK MATHEMATICS FOR THE TRADES
10th Edition
ISBN: 8220100803055
Author: SAUNDERS
Publisher: PEARSON
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Chapter 12.1, Problem 5BE
To determine
The double bar graph for the data of ‘Sales of Construction Material: CASH IS US’.
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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 12 Solutions
EBK MATHEMATICS FOR THE TRADES
Ch. 12.1 - A. Answer the questions following each...Ch. 12.1 - Trades Management The following graph shows the...Ch. 12.1 - Prob. 3AECh. 12.1 - Prob. 4AECh. 12.1 - Prob. 5AECh. 12.1 - Automotive Trades The following line graph shows...Ch. 12.1 - Prob. 7AECh. 12.1 - General Interest Study the circle graph at the top...Ch. 12.1 - Prob. 9AECh. 12.1 - Allied Health An assistant at a pharmaceutical...
Ch. 12.1 - Fire Protection Plot the following data as a bar...Ch. 12.1 - Transportation The following table lists the total...Ch. 12.1 - Metalworking Draw a bar graph from the following...Ch. 12.1 - Trades Management Plot the following data as a bar...Ch. 12.1 - Prob. 5BECh. 12.1 - General Interest The following table shows the...Ch. 12.1 - Prob. 7BECh. 12.1 - Trades Management The following table shows the...Ch. 12.1 - Prob. 9BECh. 12.1 - General Interest The following data show the world...Ch. 12.1 - Fire Protection The following data show the number...Ch. 12.1 - Prob. 12BECh. 12.1 - Hydrology The following table shows the daily...Ch. 12.1 - Business and Finance Plot a double broken-line...Ch. 12.1 - Prob. 15BECh. 12.1 - Prob. 16BECh. 12.1 - Aviation An aircraft mechanic spends 12.5% of a...Ch. 12.1 - General Interest Recent surveys have shown that...Ch. 12.2 - Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - A. Find the mean, median, and mode for each set of...Ch. 12.2 - Construct an extended frequency distribution for...Ch. 12.2 - Construct an extended frequency distribution for...Ch. 12.2 - Aviation BF Goodrich produces brake pads for...Ch. 12.2 - Prob. 2CECh. 12.2 - Prob. 3CECh. 12.2 - Prob. 4CECh. 12.2 - Automotive Trades A mechanic has logged the...Ch. 12.2 - Forestry A forest ranger wishes to determine the...Ch. 12.2 - Hydrology The following table shows the monthly...Ch. 12.2 - Prob. 8CECh. 12.2 - Automotive Trades The following table shows both...Ch. 12.2 - Hydrology The following table shows the daily...Ch. 12.2 - Allied Health The Apgar score is widely used to...Ch. 12.2 - Allied Health A pharmacist keeps careful track of...Ch. 12.2 - Prob. 13CECh. 12.2 - Prob. 14CECh. 12 - Read bar graphs, line graphs, and circle graphs....Ch. 12 - Prob. 2PCh. 12 - Prob. 3PCh. 12 - Prob. 4PCh. 12 - Graph I Electrical Trades In general, as amps...Ch. 12 - Graph I Electrical Trades What is the minimum size...Ch. 12 - Graph I Electrical Trades What is the minimum wire...Ch. 12 - Prob. 4APSCh. 12 - Prob. 5APSCh. 12 - Prob. 6APSCh. 12 - Prob. 7APSCh. 12 - Prob. 8APSCh. 12 - Prob. 9APSCh. 12 - Prob. 10APSCh. 12 - Prob. 11APSCh. 12 - Prob. 12APSCh. 12 - Prob. 13APSCh. 12 - Prob. 14APSCh. 12 - Prob. 15APSCh. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - In September, what was the ratio of computer...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Retail Merchandising A small computer store is...Ch. 12 - Prob. 24APSCh. 12 - Prob. 25APSCh. 12 - Prob. 26APSCh. 12 - Prob. 27APSCh. 12 - Prob. 28APSCh. 12 - Prob. 29APSCh. 12 - Prob. 30APSCh. 12 - Graph V Business and Finance What was the actual...Ch. 12 - Graph V Business and Finance What was the...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph V Business and Finance During which months...Ch. 12 - Graph V Business and Finance During which month...Ch. 12 - Graph VI Metalworking What percent of marine...Ch. 12 - Graph VI Metalworking What percent of this alloy...Ch. 12 - Graph VI Metalworking Without measuring, calculate...Ch. 12 - Graph VI Metalworking How many ounces of zinc are...Ch. 12 - Graph VI Metalworking How many grams of bismuth...Ch. 12 - Prob. 1BPSCh. 12 - Prob. 2BPSCh. 12 - Prob. 3BPSCh. 12 - Prob. 4BPSCh. 12 - Metalworking Construct a circle graph based on the...Ch. 12 - Fire Protection Construct a circle graph based on...Ch. 12 - Prob. 7BPSCh. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - Prob. 5CPSCh. 12 - C. Find the mean, median, and mode for each set of...Ch. 12 - Prob. 1DPSCh. 12 - Prob. 2DPSCh. 12 - Prob. 1EPSCh. 12 - Prob. 2EPSCh. 12 - Prob. 3EPSCh. 12 - Prob. 4EPSCh. 12 - Prob. 5EPSCh. 12 - Prob. 6EPSCh. 12 - Prob. 7EPSCh. 12 - Prob. 8EPS
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