Mathematics for Elementary Teachers with Activities (5th Edition)
5th Edition
ISBN: 9780134392790
Author: Beckmann, Sybilla
Publisher: PEARSON
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Textbook Question
Chapter 12.4, Problem 1P
Josie has two wooden beams that are 15 feet long and two wooden beams that are 10 feet long. She plans to use these four beams to form the entire border around a closed garden. She likes unusual designs. Without any other information, what is the most you can say about the area of Josie‘s garden? Explain.
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A stoplight is green 40 percent of the time. If you stop at this light eight random times, what is the chance that it’s green exactly five times?
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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
Chapter 12 Solutions
Mathematics for Elementary Teachers with Activities (5th Edition)
Ch. 12.1 - You have a 5-foot-by-7-foot rectangular rug in...Ch. 12.1 - Draw a 3-cm-by-7-cm rectangle. Then discuss the...Ch. 12.1 - a. Explain how to decompose the large rectangle in...Ch. 12.1 - a. Explain how to decompose the large rectangle in...Ch. 12.1 - Draw a (fairly long) line segment and designate it...Ch. 12.2 - Make a shape that has area 25in2 but that has no...Ch. 12.2 - Flgure 12.14 shows the floor plan for a one-story...Ch. 12.2 - An area problem: The Johnsons are planning to...Ch. 12.2 - Figure 12.15 shows a design for an herb garden,...Ch. 12.2 - Figure 12.16 [g shows the floor plan for a modern,...
Ch. 12.2 - Use the moving and additivity principles to...Ch. 12.2 - Use the moving and additivity principles to...Ch. 12.3 - Use the moving and additivity principles to...Ch. 12.3 - For each triangle in Figure 12.31 , show the...Ch. 12.3 - Use a ruler and compass to draw three identical...Ch. 12.3 - Explain clearly in your own words why the...Ch. 12.3 - Explain clearly in your own words why the...Ch. 12.3 - Becky was asked to divide a rectangle into 4 equal...Ch. 12.3 - Explain how to use the additivity principle to...Ch. 12.3 - Determine the area of the shaded triangle that is...Ch. 12.3 - Determine the area of the shaded shape in Figure...Ch. 12.3 - Determine the area of the shaded triangle in...Ch. 12.3 - Determine the area of the shaded shape in Figure...Ch. 12.3 - Determine the area of the shaded shape in Figure...Ch. 12.3 - Given that the rectangle ABCD in Figure 12.41 has...Ch. 12.4 - Josie has two wooden beams that are 15 feet long...Ch. 12.4 - Figure 12.47 shows a shaded parallelogram inside a...Ch. 12.4 - In the text, we saw a way to explain why the area...Ch. 12.4 - Figure 12.49 shows a trapezoid. This problem will...Ch. 12.4 - Use the moving and additivity principles to...Ch. 12.4 - Find a formula for the area of a rhombus (see...Ch. 12.4 - Determine the areas (in square units) of the 4...Ch. 12.4 - Determine the area (in square units) of the...Ch. 12.4 - Determine the area of the shaded shapes in Figure...Ch. 12.4 - A rug company weaves rugs that are made by...Ch. 12.4 - Determine the area of the shaded region in Figure...Ch. 12.4 - Given that the shaded shape in Figure 12.58 is a...Ch. 12.4 - Figure 12.59 shows a map of some land. Determine...Ch. 12.5 - Figure 12.68 shows a triangle on a pegboard....Ch. 12.5 - Make a drawing to show the result of shearing the...Ch. 12.5 - Prob. 3PCh. 12.5 - Make a drawing to show the result of shearing the...Ch. 12.5 - a. Make a drawing to show the result of shearing...Ch. 12.5 - The boundary between the Johnson and the Zhang...Ch. 12.5 - Suppose that in a trapezoid ABCD, as in Figure...Ch. 12.5 - Prob. 8PCh. 12.6 - In your own words. discuss how the diameter and...Ch. 12.6 - Tim works on the following exercise: For each...Ch. 12.6 - A large running track is constructed to have...Ch. 12.6 - Suppose you have a large spool used for winding...Ch. 12.6 - Suppose that when pizza dough is rolled out it...Ch. 12.6 - Lauriann and Kinsey are in charge of the annual...Ch. 12.6 - Penguins huddle together to stay warm in very cold...Ch. 12.6 - Jack has a truck that requires tires that are 26...Ch. 12.6 - Let r units denote the radius of each circle in...Ch. 12.7 - Suppose that you have a map on which 1 inch...Ch. 12.7 - Suppose that you have a map on which 1 inch...Ch. 12.7 - Suppose that you have a map on which 1 inch...Ch. 12.8 - Suppose that a student in your class wants to know...Ch. 12.8 - Sarah is confused about the difference between the...Ch. 12.8 - Describe a concrete way to demonstrate that many...Ch. 12.8 - Anya wants to draw many different rectangles that...Ch. 12.8 - On graph paper, draw 4 different rectangles that...Ch. 12.8 - Which of the lengths that follow could be the...Ch. 12.8 - a. Without using a calculator, fund the lengths...Ch. 12.8 - Draw 4 different rectangles, all of which have a...Ch. 12.8 - Draw 4 different rectangles, all of which have...Ch. 12.8 - A forest has a perimeter of 210 mi, but no...Ch. 12.8 - Bob wants to find the area of an irregular shape....Ch. 12.8 - Consider all rectangles whose area is 4 in2 ,...Ch. 12.9 - Jessica says she doesn‘t understand the...Ch. 12.9 - Town B is 380 km due south of town A. Town C is...Ch. 12.9 - What length ribbon will you need to stretch from...Ch. 12.9 - Rover the dog is on a 30-foot leash. One end of...Ch. 12.9 - Carmina and Antone measure that the distance...Ch. 12.9 - Use the Pythagorean theorem to help you determine...Ch. 12.9 - Assuming that the earth is a perfectly round,...
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