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Mathematics All Around (6th Edition)
6th Edition
ISBN: 9780134434681
Author: Tom Pirnot
Publisher: PEARSON
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Textbook Question
Chapter 9.1, Problem 57E
In Exercises 57 and 58 find the measure of angle x to make a hole-in-one at the miniature golf course hole. Use the following two facts to find x:
The angle the ball makes as it hits a flat surface has the same measure as the angle the ball makes as it leaves the surface. (For example, angles a and b in Exercise 57 are equal.)
The sum of the measures of the interior (inside) angles of a triangle is 180°.
Expert Solution & Answer
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Students have asked these similar questions
If 10 percent of the parts made by a certain company are defective and have to be remade, what is the chance that a random sample of four parts has one that is defective?
Question 4
Fourteen individuals were given a complex puzzle to complete. The times in seconds was recorded
for their first and second attempts and the results provided below:
1
2
3
first attempt
172
255
second attempt 70
4 5
114 248 218
194 270 267 66
6 7
230 219
341 174
8
10
9
210 261 347 218 200 281
199 308 268 243 236 300
11
12
13
14
140
302
a. Calculate a 95% confidence interval for the mean time taken by each individual to
complete the (i) first attempt and (ii) second attempt. [la]
b. Test the hypothesis that the difference between the two mean times for both is 100
seconds. Use the 5% level of significance.
c. Subsequently, it was learnt that the times for the second attempt were incorrecly
recorded and that each of the values is 50 seconds too large. What, if any, difference
does this make to the results of the test done in part (b)? Show all steps for the
hypothesis test
Question 3
3200 students were asked about the importance of study groups in successfully completing their
courses. They were asked to provide their current majors as well as their opinion. The results are given
below:
Major
Opinion Psychology Sociology Economics Statistics Accounting Total
Agree
144
183
201
271
251
1050
Disagree
230
233
254
227
218
1162
Impartial
201
181
196
234
176
988
Total
575
597
651
732
645
3200
a. State both the null and alternative hypotheses.
b. Provide the decision rule for making this decision. Use an alpha level of 5%.
c. Show all of the work necessary to calculate the appropriate statistic. |
d. What conclusion are you allowed to draw?
c. Would your conclusion change at the 10% level of significance?
f. Confirm test results in part (c) using JASP. Note: All JASP input files and output
tables should be provided
Chapter 9 Solutions
Mathematics All Around (6th Edition)
Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - In Exercise 18, match each term with the numbered...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...
Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - In Exercises 914, determine whether each statement...Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Use the given figure to answer Exercises 1518....Ch. 9.1 - Prob. 19ECh. 9.1 - Prob. 20ECh. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - In Exercises 1924, find the measure of a...Ch. 9.1 - Prob. 25ECh. 9.1 - Prob. 26ECh. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - In Exercises 2530, find the measures of angles a,...Ch. 9.1 - Prob. 30ECh. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - In Exercises 3136, you are given two of the...Ch. 9.1 - Prob. 37ECh. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Continuing the situation from Exercises 3136, use...Ch. 9.1 - Prob. 41ECh. 9.1 - In Exercises 4144, solve for x. Assume that lines...Ch. 9.1 - In Exercises 4144, solve for x. Assume that lines...Ch. 9.1 - Prob. 44ECh. 9.1 - Prob. 45ECh. 9.1 - Prob. 46ECh. 9.1 - Prob. 47ECh. 9.1 - Prob. 48ECh. 9.1 - Prob. 49ECh. 9.1 - Prob. 50ECh. 9.1 - Prob. 51ECh. 9.1 - Prob. 52ECh. 9.1 - Prob. 53ECh. 9.1 - Prob. 54ECh. 9.1 - Prob. 55ECh. 9.1 - Prob. 56ECh. 9.1 - In Exercises 57 and 58 find the measure of angle x...Ch. 9.1 - Prob. 58ECh. 9.1 - Prob. 59ECh. 9.1 - Prob. 60ECh. 9.1 - Prob. 61ECh. 9.1 - When a pair of parallel lines is cut by a...Ch. 9.1 - Prob. 63ECh. 9.1 - Prob. 64ECh. 9.1 - Prob. 65ECh. 9.1 - Prob. 66ECh. 9.1 - Prob. 67ECh. 9.1 - Prob. 68ECh. 9.1 - Prob. 69ECh. 9.1 - Prob. 70ECh. 9.1 - Prob. 71ECh. 9.1 - Prob. 72ECh. 9.1 - Prob. 73ECh. 9.1 - Prob. 74ECh. 9.1 - Prob. 75ECh. 9.1 - Prob. 76ECh. 9.1 - Prob. 77ECh. 9.1 - Prob. 78ECh. 9.1 - Prob. 79ECh. 9.1 - Prob. 80ECh. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - Prob. 3ECh. 9.2 - In Exercises 14, state whether each figure is a...Ch. 9.2 - Prob. 5ECh. 9.2 - Provide a counterexample to each of the statements...Ch. 9.2 - Prob. 7ECh. 9.2 - Prob. 8ECh. 9.2 - Prob. 9ECh. 9.2 - Prob. 10ECh. 9.2 - Prob. 11ECh. 9.2 - We have indicated the measures of the angles of...Ch. 9.2 - Prob. 13ECh. 9.2 - We have indicated the measures of the angles of...Ch. 9.2 - Prob. 15ECh. 9.2 - If we divide a regular octagon into triangles as...Ch. 9.2 - What is the measure of an interior angle of a...Ch. 9.2 - What is the measure of an interior angle of a...Ch. 9.2 - Prob. 19ECh. 9.2 - Prob. 20ECh. 9.2 - Prob. 21ECh. 9.2 - Prob. 22ECh. 9.2 - Prob. 23ECh. 9.2 - Prob. 24ECh. 9.2 - Prob. 25ECh. 9.2 - Prob. 26ECh. 9.2 - Prob. 27ECh. 9.2 - An accessibility ramp. A ramp was constructed to...Ch. 9.2 - The Russians erected the worlds largest...Ch. 9.2 - Prob. 30ECh. 9.2 - Prob. 31ECh. 9.2 - Prob. 32ECh. 9.2 - Prob. 33ECh. 9.2 - Prob. 34ECh. 9.2 - Prob. 35ECh. 9.2 - Prob. 36ECh. 9.2 - Prob. 37ECh. 9.2 - Prob. 38ECh. 9.2 - Prob. 39ECh. 9.2 - Prob. 40ECh. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - The tangram is an ancient Chinese puzzle that...Ch. 9.2 - Prob. 44ECh. 9.2 - Prob. 45ECh. 9.2 - Prob. 46ECh. 9.2 - Prob. 47ECh. 9.2 - What information do you know about the angles and...Ch. 9.2 - Do an Internet search for architectural disasters...Ch. 9.2 - Prob. 51ECh. 9.2 - Prob. 52ECh. 9.2 - Prob. 53ECh. 9.2 - Prob. 54ECh. 9.2 - Prob. 55ECh. 9.2 - Make up a description of a triangle as we did in...Ch. 9.2 - Prob. 57ECh. 9.2 - Prob. 58ECh. 9.2 - Prob. 59ECh. 9.2 - Prob. 60ECh. 9.2 - Prob. 61ECh. 9.2 - Prob. 63ECh. 9.2 - In building scaffolding, often the scaffolding has...Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 112, find the area of each figure....Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - In Exercises 1318, find the area of the shaded...Ch. 9.3 - The area of trapezoid ABCD is 54 square feet and...Ch. 9.3 - The area of trapezoid ABCD is 80 square inches....Ch. 9.3 - Prob. 21ECh. 9.3 - Prob. 22ECh. 9.3 - Prob. 23ECh. 9.3 - Prob. 24ECh. 9.3 - Prob. 25ECh. 9.3 - Prob. 26ECh. 9.3 - Prob. 27ECh. 9.3 - In Exercises 2730, find the length of side x for...Ch. 9.3 - Prob. 29ECh. 9.3 - Prob. 30ECh. 9.3 - In Exercises 31 and 32, find the area of triangle...Ch. 9.3 - Prob. 32ECh. 9.3 - Prob. 33ECh. 9.3 - Prob. 34ECh. 9.3 - Prob. 35ECh. 9.3 - A geoboard is a board with rows of nails spaced 1...Ch. 9.3 - Prob. 37ECh. 9.3 - Prob. 38ECh. 9.3 - Prob. 39ECh. 9.3 - Prob. 40ECh. 9.3 - In Exercises 4144, state whether perimeter or area...Ch. 9.3 - Prob. 42ECh. 9.3 - Prob. 43ECh. 9.3 - Prob. 44ECh. 9.3 - Prob. 45ECh. 9.3 - Prob. 46ECh. 9.3 - Find the length of line segment AB in the given...Ch. 9.3 - Prob. 48ECh. 9.3 - Prob. 49ECh. 9.3 - Use the following figure to answer Exercises 49...Ch. 9.3 - Prob. 51ECh. 9.3 - Prob. 52ECh. 9.3 - Prob. 53ECh. 9.3 - Prob. 54ECh. 9.3 - Prob. 55ECh. 9.3 - Prob. 56ECh. 9.3 - Prob. 57ECh. 9.3 - Prob. 58ECh. 9.3 - Prob. 59ECh. 9.3 - Prob. 60ECh. 9.3 - Prob. 61ECh. 9.3 - Prob. 62ECh. 9.3 - Prob. 63ECh. 9.3 - Prob. 64ECh. 9.3 - Prob. 65ECh. 9.3 - Prob. 66ECh. 9.3 - Prob. 67ECh. 9.3 - Prob. 68ECh. 9.3 - Prob. 69ECh. 9.3 - Prob. 70ECh. 9.3 - Prob. 71ECh. 9.3 - Prob. 72ECh. 9.3 - Prob. 73ECh. 9.3 - Prob. 74ECh. 9.3 - Prob. 75ECh. 9.3 - Prob. 76ECh. 9.3 - Prob. 77ECh. 9.3 - Prob. 78ECh. 9.3 - Prob. 79ECh. 9.3 - Prob. 80ECh. 9.3 - Prob. 81ECh. 9.3 - Prob. 82ECh. 9.3 - Prob. 83ECh. 9.3 - Prob. 84ECh. 9.3 - Prob. 85ECh. 9.3 - Prob. 86ECh. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 18, find a the surface area and b the...Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - In Exercises 914, find the volume of each figure.Ch. 9.4 - Prob. 15ECh. 9.4 - Prob. 16ECh. 9.4 - Prob. 17ECh. 9.4 - Prob. 18ECh. 9.4 - Prob. 19ECh. 9.4 - Prob. 20ECh. 9.4 - Prob. 21ECh. 9.4 - Prob. 22ECh. 9.4 - Prob. 23ECh. 9.4 - Prob. 24ECh. 9.4 - Prob. 25ECh. 9.4 - Prob. 26ECh. 9.4 - Prob. 27ECh. 9.4 - Prob. 28ECh. 9.4 - Prob. 29ECh. 9.4 - Prob. 30ECh. 9.4 - Prob. 31ECh. 9.4 - Prob. 32ECh. 9.4 - Prob. 33ECh. 9.4 - Prob. 34ECh. 9.4 - Diameter of the moon. Earth has a diameter of...Ch. 9.4 - Prob. 36ECh. 9.4 - Prob. 37ECh. 9.4 - Prob. 38ECh. 9.4 - Prob. 39ECh. 9.4 - Prob. 40ECh. 9.4 - Prob. 41ECh. 9.4 - Prob. 42ECh. 9.4 - Prob. 43ECh. 9.4 - Prob. 44ECh. 9.4 - Prob. 45ECh. 9.4 - Prob. 46ECh. 9.4 - Prob. 47ECh. 9.4 - Prob. 48ECh. 9.4 - Prob. 49ECh. 9.4 - Prob. 50ECh. 9.4 - Prob. 51ECh. 9.4 - Prob. 52ECh. 9.4 - Prob. 53ECh. 9.4 - Prob. 54ECh. 9.4 - If we cut off the top of a cone by making a...Ch. 9.5 - Use Table 9.5 to make the conversions in Exercises...Ch. 9.5 - Use Table 9.5 to make the conversions in Exercises...Ch. 9.5 - Prob. 3ECh. 9.5 - Prob. 4ECh. 9.5 - Prob. 5ECh. 9.5 - Prob. 6ECh. 9.5 - Prob. 7ECh. 9.5 - Prob. 8ECh. 9.5 - Prob. 9ECh. 9.5 - Prob. 10ECh. 9.5 - Prob. 11ECh. 9.5 - Prob. 12ECh. 9.5 - Prob. 13ECh. 9.5 - Prob. 14ECh. 9.5 - Prob. 15ECh. 9.5 - Prob. 16ECh. 9.5 - Prob. 17ECh. 9.5 - Pick the most appropriate measurement for each of...Ch. 9.5 - Prob. 19ECh. 9.5 - Prob. 20ECh. 9.5 - Prob. 21ECh. 9.5 - Prob. 22ECh. 9.5 - Prob. 23ECh. 9.5 - Prob. 24ECh. 9.5 - Prob. 25ECh. 9.5 - Prob. 26ECh. 9.5 - Prob. 27ECh. 9.5 - Prob. 28ECh. 9.5 - Prob. 29ECh. 9.5 - Prob. 30ECh. 9.5 - Prob. 31ECh. 9.5 - Prob. 32ECh. 9.5 - Prob. 33ECh. 9.5 - Prob. 34ECh. 9.5 - Prob. 35ECh. 9.5 - Our monetary system is based on powers of 10 much...Ch. 9.5 - Prob. 37ECh. 9.5 - Prob. 38ECh. 9.5 - Prob. 39ECh. 9.5 - Prob. 40ECh. 9.5 - Prob. 41ECh. 9.5 - Rewrite each statement, replacing the metric...Ch. 9.5 - Prob. 43ECh. 9.5 - Prob. 44ECh. 9.5 - Area of an oriental rug. a. Find the number of...Ch. 9.5 - Prob. 46ECh. 9.5 - Prob. 47ECh. 9.5 - Prob. 48ECh. 9.5 - Prob. 49ECh. 9.5 - Prob. 50ECh. 9.5 - Prob. 51ECh. 9.5 - Prob. 52ECh. 9.5 - Prob. 53ECh. 9.5 - Prob. 54ECh. 9.5 - Prob. 55ECh. 9.5 - Prob. 56ECh. 9.5 - Buying gasoline. If gasoline costs 2.18 per liter...Ch. 9.5 - Prob. 58ECh. 9.5 - Prob. 59ECh. 9.5 - Prob. 60ECh. 9.5 - Prob. 61ECh. 9.5 - Prob. 62ECh. 9.5 - Prob. 63ECh. 9.5 - Prob. 64ECh. 9.5 - Prob. 65ECh. 9.5 - Prob. 66ECh. 9.5 - Prob. 67ECh. 9.5 - Prob. 68ECh. 9.5 - Prob. 69ECh. 9.5 - In the metric system, temperatures are measured on...Ch. 9.5 - Prob. 71ECh. 9.5 - Prob. 72ECh. 9.5 - Prob. 73ECh. 9.5 - Prob. 74ECh. 9.5 - Prob. 75ECh. 9.5 - Prob. 76ECh. 9.5 - Prob. 77ECh. 9.5 - Prob. 78ECh. 9.5 - Prob. 79ECh. 9.5 - Prob. 80ECh. 9.5 - Prob. 81ECh. 9.5 - Prob. 82ECh. 9.5 - Prob. 83ECh. 9.5 - Prob. 84ECh. 9.5 - Prob. 85ECh. 9.5 - Prob. 86ECh. 9.5 - Cost of gasoline in France. Suppose that you are...Ch. 9.5 - Prob. 88ECh. 9.5 - Prob. 89ECh. 9.5 - Prob. 90ECh. 9.6 - Use the following figure for Exercises 14. You may...Ch. 9.6 - Prob. 2ECh. 9.6 - Prob. 3ECh. 9.6 - Prob. 4ECh. 9.6 - Prob. 5ECh. 9.6 - Prob. 6ECh. 9.6 - Prob. 7ECh. 9.6 - Prob. 8ECh. 9.6 - Prob. 9ECh. 9.6 - Prob. 10ECh. 9.6 - Use the following figure for Exercises 1114....Ch. 9.6 - Prob. 12ECh. 9.6 - Prob. 13ECh. 9.6 - Prob. 14ECh. 9.6 - Perform the indicated glide reflection on figure...Ch. 9.6 - Perform the indicated glide reflection on figure...Ch. 9.6 - Prob. 17ECh. 9.6 - Prob. 18ECh. 9.6 - Prob. 19ECh. 9.6 - Prob. 20ECh. 9.6 - Prob. 21ECh. 9.6 - Prob. 22ECh. 9.6 - Prob. 23ECh. 9.6 - Prob. 24ECh. 9.6 - Prob. 25ECh. 9.6 - Prob. 26ECh. 9.6 - Prob. 27ECh. 9.6 - Prob. 28ECh. 9.6 - Prob. 29ECh. 9.6 - Prob. 30ECh. 9.6 - Prob. 31ECh. 9.6 - Prob. 32ECh. 9.6 - Prob. 33ECh. 9.6 - Prob. 34ECh. 9.6 - Prob. 35ECh. 9.6 - Prob. 36ECh. 9.6 - Prob. 37ECh. 9.6 - Prob. 38ECh. 9.6 - Prob. 39ECh. 9.6 - Prob. 40ECh. 9.6 - Prob. 41ECh. 9.6 - Prob. 42ECh. 9.6 - Prob. 43ECh. 9.6 - Prob. 44ECh. 9.6 - Prob. 45ECh. 9.6 - Prob. 46ECh. 9.6 - Prob. 47ECh. 9.6 - Prob. 48ECh. 9.6 - Prob. 49ECh. 9.6 - Prob. 50ECh. 9.6 - Prob. 51ECh. 9.6 - Which of the following types of tessellations can...Ch. 9.6 - Prob. 53ECh. 9.6 - Prob. 54ECh. 9.6 - Prob. 55ECh. 9.6 - Prob. 56ECh. 9.6 - Prob. 57ECh. 9.7 - Prob. 1ECh. 9.7 - Prob. 2ECh. 9.7 - Prob. 3ECh. 9.7 - Prob. 4ECh. 9.7 - Prob. 5ECh. 9.7 - Prob. 6ECh. 9.7 - Prob. 7ECh. 9.7 - Prob. 8ECh. 9.7 - Prob. 9ECh. 9.7 - Prob. 10ECh. 9.7 - Prob. 11ECh. 9.7 - Prob. 12ECh. 9.7 - Prob. 13ECh. 9.7 - Prob. 14ECh. 9.7 - Prob. 15ECh. 9.7 - Prob. 16ECh. 9.7 - How did we argue that the length of the Koch curve...Ch. 9.7 - Prob. 18ECh. 9.7 - Prob. 19ECh. 9.7 - Prob. 20ECh. 9.7 - Prob. 21ECh. 9.7 - Prob. 22ECh. 9.7 - Prob. 23ECh. 9.7 - Prob. 24ECh. 9.7 - Prob. 25ECh. 9.CR - Prob. 1CRCh. 9.CR - Prob. 2CRCh. 9.CR - Prob. 3CRCh. 9.CR - Prob. 4CRCh. 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 - Find the volume of each solid. a bCh. 9.CR - Prob. 14CRCh. 9.CR - Prob. 15CRCh. 9.CR - Prob. 16CRCh. 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 - You are given steps 0 and 1 for constructing a...Ch. 9.CT - In the given figure, name each of the following...Ch. 9.CT - Prob. 2CTCh. 9.CT - Prob. 3CTCh. 9.CT - Prob. 4CTCh. 9.CT - Prob. 5CTCh. 9.CT - Prob. 6CTCh. 9.CT - Prob. 7CTCh. 9.CT - Prob. 8CTCh. 9.CT - Prob. 9CTCh. 9.CT - Prob. 10CTCh. 9.CT - Prob. 11CTCh. 9.CT - A pool is surrounded by a brick walkway as shown...Ch. 9.CT - Prob. 13CTCh. 9.CT - Prob. 14CTCh. 9.CT - Prob. 15CTCh. 9.CT - Prob. 16CTCh. 9.CT - Prob. 17CTCh. 9.CT - Prob. 18CTCh. 9.CT - Prob. 19CTCh. 9.CT - Prob. 20CTCh. 9.CT - Prob. 21CTCh. 9.CT - Prob. 22CT
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