Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
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Chapter 13.4A, Problem 14A
To determine
To find:
The lateral surface area of the outside of cardboard roll.
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Students have asked these similar questions
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
Question 1
A tech company has acknowledged the importance of having records of all meetings conducted.
The meetings are very fast paced and requires equipment that is able to capture the information in
the shortest possible time. There are two options, using a typewriter or a word processor. Fifteen
administrative assistants are selected and the amount of typing time in hours was recorded. The
results are given below:
1
2
3
4
5
6
7
8
9
10
11 12 13
14
15
typewriter
8.0 6.5
5.0 6.7
7.8
8.5
7.2
5.7
9.2
5.7 6.5
word processor 7.2 5.7
8.3
7.5
9.2
7.2
6.5
7.0
6.9
34
7.0 6.9
8.8
6.7
8.8 9.4 8.6 5.5 7.2
8.4
a. Test the hypothesis that the mean typing time in hours for typewriters is less than 7.0.
Use the 1% level of significance.
b. Construct a 90% confidence interval for the difference in mean typing time in hours,
where a difference is equal to the typing time in hours of word processors minus typing
time in hours of typewriter.
c. Using the 5% significance level, determine whether there is…
Chapter 13 Solutions
Problem Solving Approach to Mathematics for Elementary School Teachers
Ch. 13.1 - In track, the second lane from the inside of the...Ch. 13.1 - Observe that it is possible to build a triangle...Ch. 13.1 - A student asks why 227 cannot always be used as...Ch. 13.1 - A Student imagines a wire stretched around Earth....Ch. 13.1 - Prob. 12MCCh. 13.1 - Which of these units would be the best to use to...Ch. 13.1 - If Freds rope is 12 inches long, about how long is...Ch. 13.1 - The circumference of a circular piece of wood is...Ch. 13.1A - Use the following picture of a ruler to find each...Ch. 13.1A - Prob. 2A
Ch. 13.1A - Complete each of the following. a. 100 in....Ch. 13.1A - Prob. 4ACh. 13.1A - Estimate the length of the following segment and...Ch. 13.1A - Prob. 6ACh. 13.1A - Repeat exercise 6 using English measures. 6....Ch. 13.1A - Prob. 8ACh. 13.1A - Prob. 9ACh. 13.1A - Prob. 10ACh. 13.1A - List the following in decreasing order: 8 cm,...Ch. 13.1A - Prob. 12ACh. 13.1A - a. What is the length of a semicircle of a circle...Ch. 13.1A - Prob. 14ACh. 13.1A - Complete each of the following. a. 10 mm =______cm...Ch. 13.1A - Prob. 16ACh. 13.1A - Can the following be the lengths of the sides of a...Ch. 13.1A - Prob. 18ACh. 13.1A - Take an 81211-in. piece of paper, fold it as shown...Ch. 13.1A - Prob. 20ACh. 13.1A - What happens to the circumference of a circle if...Ch. 13.1A - Prob. 22ACh. 13.1A - Prob. 23ACh. 13.1A - Prob. 24ACh. 13.1A - Prob. 25ACh. 13.1A - Prob. 26ACh. 13.1A - Suppose you have three concentric circles and are...Ch. 13.1B - Use the following picture of ruler to find each of...Ch. 13.1B - Estimate and then measure each of the following in...Ch. 13.1B - Convert each of the following to the indicated...Ch. 13.1B - Prob. 5ACh. 13.1B - Prob. 6ACh. 13.1B - Prob. 7ACh. 13.1B - Prob. 8ACh. 13.1B - If eggs were sold in the United States using...Ch. 13.1B - List the following in decreasing order:...Ch. 13.1B - Draw each of the following as accurately as...Ch. 13.1B - The following figure is a circle whose radius is 2...Ch. 13.1B - Prob. 14ACh. 13.1B - Complete each of the following conversions. a. 35...Ch. 13.1B - Prob. 16ACh. 13.1B - Can the following be the lengths of the sides of a...Ch. 13.1B - Prob. 18ACh. 13.1B - Prob. 20ACh. 13.1B - For each of the following, if a circle has the...Ch. 13.1B - Prob. 22ACh. 13.1B - Astronomers use a light-year to measure distance....Ch. 13.1B - Give the greatest possible error for each of the...Ch. 13.1B - a. Find the length of a 48 arc of a circle whose...Ch. 13.1B - Find the radius of the circle containing 60 arc...Ch. 13.1B - Prob. 27ACh. 13.2 - The three midsegments of a triangle divide it into...Ch. 13.2 - Prob. 2MCCh. 13.2 - Prob. 3MCCh. 13.2 - Prob. 4MCCh. 13.2 - Prob. 5MCCh. 13.2 - Prob. 6MCCh. 13.2 - Prob. 7MCCh. 13.2 - Prob. 8MCCh. 13.2 - Prob. 9MCCh. 13.2 - a. A sector in circle with center O and radius 10...Ch. 13.2 - In the following right triangle, AB=10,AC=6,CB=8 ....Ch. 13.2 - Prob. 13MCCh. 13.2 - Prob. 14MCCh. 13.2 - Prob. 15MCCh. 13.2 - Prob. 16MCCh. 13.2 - Prob. 17MCCh. 13.2 - Prob. 18MCCh. 13.2 - Ori claims that to find the area of a...Ch. 13.2 - Prob. 20MCCh. 13.2 - In Figure 29, we found the area of a kite using...Ch. 13.2 - Prob. 22MCCh. 13.2 - Prob. 23MCCh. 13.2 - Prob. 25MCCh. 13.2 - Prob. 26MCCh. 13.2 - Prob. 27MCCh. 13.2 - Prob. 28MCCh. 13.2 - Prob. 29MCCh. 13.2 - Prob. 1NAEPCh. 13.2 - Which figure has the greatest area? A. A B. BC....Ch. 13.2 - Prob. 3NAEPCh. 13.2 - Prob. 4NAEPCh. 13.2 - On the scale drawing above, the shaded area...Ch. 13.2A - Choose the most appropriate metric unit cm2, m2 or...Ch. 13.2A - Estimate and then measure the area of the each of...Ch. 13.2A - Prob. 4ACh. 13.2A - Complete the following conversions a. 4000ft2=yd2...Ch. 13.2A - Find the area of each of the following figures if...Ch. 13.2A - Complete each of the following sentences a. A...Ch. 13.2A - Prob. 8ACh. 13.2A - Prob. 9ACh. 13.2A - Prob. 10ACh. 13.2A - Find the area of each of the following...Ch. 13.2A - a. A rectangular piece of land is 1300m1500m i....Ch. 13.2A - Prob. 13ACh. 13.2A - Prob. 14ACh. 13.2A - Find the cost of carpeting the following rectangle...Ch. 13.2A - Prob. 16ACh. 13.2A - Joe uses stick on square carpet tiles to cover his...Ch. 13.2A - Prob. 18ACh. 13.2A - Prob. 19ACh. 13.2A - Prob. 20ACh. 13.2A - Prob. 21ACh. 13.2A - Prob. 22ACh. 13.2A - Prob. 23ACh. 13.2A - Prob. 24ACh. 13.2A - Prob. 25ACh. 13.2A - Prob. 26ACh. 13.2A - Prob. 27ACh. 13.2A - Prob. 28ACh. 13.2A - Prob. 29ACh. 13.2A - Prob. 30ACh. 13.2A - Prob. 31ACh. 13.2A - Prob. 32ACh. 13.2A - Prob. 33ACh. 13.2A - Prob. 34ACh. 13.2A - Prob. 35ACh. 13.2B - Choose the most appropriate metric unit cm2, m2 or...Ch. 13.2B - Prob. 3ACh. 13.2B - Complete the following conversion table m2 cm2 mm2...Ch. 13.2B - Complete the following conversions a. 99ft2=yd2 b....Ch. 13.2B - Find the areas of each of the following figures if...Ch. 13.2B - Prob. 7ACh. 13.2B - Find the area of ABC in each of the following...Ch. 13.2B - a. If triangle ABC is similar to triangle DEF and...Ch. 13.2B - Find the area of each of the following...Ch. 13.2B - a. A rectangular piece of land is 1.2km by 900m i....Ch. 13.2B - a. If the area of a rectangle remains constant but...Ch. 13.2B - Prob. 14ACh. 13.2B - Prob. 15ACh. 13.2B - Prob. 16ACh. 13.2B - Prob. 17ACh. 13.2B - Prob. 18ACh. 13.2B - Prob. 19ACh. 13.2B - Prob. 21ACh. 13.2B - If the area of a square is 169in2, what is its...Ch. 13.2B - Prob. 23ACh. 13.2B - Prob. 24ACh. 13.2B - Prob. 25ACh. 13.2B - Prob. 26ACh. 13.2B - A store has wrapping paper on sale, One packed is...Ch. 13.2B - Prob. 28ACh. 13.2B - Prob. 29ACh. 13.2B - Prob. 30ACh. 13.2B - Prob. 31ACh. 13.2B - Prob. 32ACh. 13.2B - Prob. 33ACh. 13.2B - Prob. 34ACh. 13.2B - Prob. 35ACh. 13.2B - Prob. 36ACh. 13.2B - What is the length of the side of a square with...Ch. 13.2B - Prob. 38ACh. 13.3 - Mathematical Connections Given a square, describe...Ch. 13.3 - Prob. 2MCCh. 13.3 - Mathematical Connections The sum of the squares of...Ch. 13.3 - Mathematical Connections Explain how to construct...Ch. 13.3 - Mathematical Connections A Pythagorean triple is a...Ch. 13.3 - Mathematical Connections Explain how to adapt the...Ch. 13.3 - Mathematical Connections In the figure shown,...Ch. 13.3 - Mathematical Connections Find the area of ABC if...Ch. 13.3 - Mathematical Connections The height of an...Ch. 13.3 - Mathematical Connections Two concentric circles...Ch. 13.3 - Mathematical Connections Find the distance between...Ch. 13.3 - Mathematical Connections Construct two squares of...Ch. 13.3 - Prob. 13MCCh. 13.3 - Prob. 17MCCh. 13.3 - MATHEMATICAL CONNECTIONS One leg of a right...Ch. 13.3 - Prob. 19MCCh. 13.3 - Prob. 20MCCh. 13.3 - Prob. 21MCCh. 13.3 - Prob. 22MCCh. 13.3 - Prob. 24MCCh. 13.3 - Prob. 25MCCh. 13.3 - Prob. 26MCCh. 13.3 - Prob. 27MCCh. 13.3 - Prob. 29MCCh. 13.3 - National Assessment of Educational ProgressNAEP...Ch. 13.3 - Prob. 2NAEPCh. 13.3A - Prob. 1ACh. 13.3A - Prob. 2ACh. 13.3A - Prob. 3ACh. 13.3A - If the hypotenuse of a right is 30 cm long and one...Ch. 13.3A - For each of the following, determine whether the...Ch. 13.3A - Prob. 8ACh. 13.3A - Prob. 9ACh. 13.3A - Prob. 10ACh. 13.3A - Prob. 11ACh. 13.3A - Find the area of each of the following figuresCh. 13.3A - Find the area of each rhombus given below.Ch. 13.3A - Prob. 14ACh. 13.3A - A company wants to lay a string of buoys across a...Ch. 13.3A - Prob. 17ACh. 13.3A - Prob. 18ACh. 13.3A - Prob. 19ACh. 13.3A - Prob. 20ACh. 13.3A - If the length of the hypotenuse in a 306090...Ch. 13.3A - Prob. 22ACh. 13.3A - Prob. 23ACh. 13.3A - Prob. 24ACh. 13.3A - A boat starts at point A, moves 3 km due north,...Ch. 13.3A - Prob. 26ACh. 13.3A - The diagonals of a rhombus are 8 in. and 12 in....Ch. 13.3A - Prob. 28ACh. 13.3B - Prob. 1ACh. 13.3B - Prob. 2ACh. 13.3B - Prob. 3ACh. 13.3B - Prob. 5ACh. 13.3B - Prob. 6ACh. 13.3B - For each of the following, determine whether the...Ch. 13.3B - Prob. 8ACh. 13.3B - Prob. 9ACh. 13.3B - Prob. 10ACh. 13.3B - Prob. 11ACh. 13.3B - Prob. 12ACh. 13.3B - Prob. 13ACh. 13.3B - Prob. 14ACh. 13.3B - On a baseball field 90-ft square if a player...Ch. 13.3B - Prob. 16ACh. 13.3B - Prob. 17ACh. 13.3B - Prob. 18ACh. 13.3B - Prob. 19ACh. 13.3B - Prob. 20ACh. 13.3B - Prob. 21ACh. 13.3B - Prob. 22ACh. 13.3B - Prob. 23ACh. 13.3B - Prob. 24ACh. 13.3B - Prob. 25ACh. 13.3B - Prob. 26ACh. 13.3B - Prob. 27ACh. 13.3B - Prob. 28ACh. 13.3B - Prob. 29ACh. 13.3B - Prob. 30ACh. 13.4 - Tennis balls are packed tightly three to a can...Ch. 13.4 - Prob. 2MCCh. 13.4 - In the drawing below, cube B was cut from a larger...Ch. 13.4 - Prob. 4MCCh. 13.4 - Prob. 5MCCh. 13.4 - Prob. 6MCCh. 13.4 - Prob. 7MCCh. 13.4 - Prob. 8MCCh. 13.4 - Prob. 9MCCh. 13.4 - A student wonders if she triples each measurement...Ch. 13.4 - Prob. 12MCCh. 13.4 - Abi used the formula SA=r(r+l), where r is the...Ch. 13.4 - Prob. 14MCCh. 13.4 - Prob. 15MCCh. 13.4 - Prob. 16MCCh. 13.4 - Prob. 17MCCh. 13.4 - Prob. 18MCCh. 13.4 - Find the perimeters and the areas of the following...Ch. 13.4 - In the following, the length of the diagonal AC of...Ch. 13.4 - Find the length of the diagonal of a cube whose...Ch. 13.4 - Prob. 22MCCh. 13.4 - Convert the following measures. a. 150m=km b....Ch. 13.4 - Which of the following can be folded to form the...Ch. 13.4A - Which of the following nets could be folded along...Ch. 13.4A - Find the surface area of each of the following...Ch. 13.4A - How many litres of paint must you buy to paint the...Ch. 13.4A - Prob. 4ACh. 13.4A - Assume the radius of Earth is 6370 km and Earth is...Ch. 13.4A - Prob. 6ACh. 13.4A - Prob. 7ACh. 13.4A - Prob. 8ACh. 13.4A - The top of a right rectangular box has an area of...Ch. 13.4A - How does the lateral surface area of a right...Ch. 13.4A - Prob. 11ACh. 13.4A - The sector shown is rolled into cone shape so that...Ch. 13.4A - Prob. 13ACh. 13.4A - Prob. 14ACh. 13.4A - If two right circular cones are similar with radii...Ch. 13.4A - Prob. 16ACh. 13.4A - Prob. 17ACh. 13.4A - Prob. 18ACh. 13.4A - Prob. 19ACh. 13.4A - Prob. 20ACh. 13.4A - Prob. 21ACh. 13.4B - Prob. 1ACh. 13.4B - Prob. 2ACh. 13.4B - Prob. 3ACh. 13.4B - Prob. 4ACh. 13.4B - Prob. 5ACh. 13.4B - Prob. 6ACh. 13.4B - Prob. 7ACh. 13.4B - Prob. 8ACh. 13.4B - Prob. 10ACh. 13.4B - Prob. 11ACh. 13.4B - Prob. 13ACh. 13.4B - Prob. 14ACh. 13.4B - If two right cones are similar with radii of the...Ch. 13.4B - Prob. 16ACh. 13.4B - Prob. 17ACh. 13.4B - Prob. 18ACh. 13.4B - In the figure shown, a right circular cylinder is...Ch. 13.4B - Prob. 20ACh. 13.5 - a. Which will increase the volume of a right...Ch. 13.5 - Explain how you would find the volume of an...Ch. 13.5 - Read the following problems i and ii: i. A tank in...Ch. 13.5 - A furniture company gives an estimate for moving...Ch. 13.5 - A cylinder, a cone, and a sphere have the same...Ch. 13.5 - Two stacks of pennies shown are of the same...Ch. 13.5 - Prob. 7MCCh. 13.5 - A diagonal of a cube that is not the diagonal of a...Ch. 13.5 - Prob. 9MCCh. 13.5 - A right circular cylinder has a 4-in. diameter, is...Ch. 13.5 - Prob. 11MCCh. 13.5 - Explore Internet sources to determine if it is...Ch. 13.5 - A student asks whether the volume of a cube can...Ch. 13.5 - Prob. 15MCCh. 13.5 - Prob. 16MCCh. 13.5 - Prob. 17MCCh. 13.5 - Prob. 18MCCh. 13.5 - Prob. 19MCCh. 13.5 - Find the perimeter and area of the following...Ch. 13.5 - Prob. 21MCCh. 13.5 - Prob. 22MCCh. 13.5 - Prob. 23MCCh. 13.5 - Prob. 24MCCh. 13.5 - Prob. 25MCCh. 13.5 - Prob. 1NAEPCh. 13.5 - Prob. 2NAEPCh. 13.5 - Prob. 3NAEPCh. 13.5A - Prob. 1ACh. 13.5A - Prob. 2ACh. 13.5A - Prob. 3ACh. 13.5A - Prob. 4ACh. 13.5A - Prob. 5ACh. 13.5A - Prob. 6ACh. 13.5A - Prob. 7ACh. 13.5A - Prob. 8ACh. 13.5A - Prob. 9ACh. 13.5A - Prob. 10ACh. 13.5A - Prob. 11ACh. 13.5A - Prob. 12ACh. 13.5A - Prob. 13ACh. 13.5A - Prob. 14ACh. 13.5A - Prob. 15ACh. 13.5A - Prob. 16ACh. 13.5A - Prob. 17ACh. 13.5A - Prob. 18ACh. 13.5A - A right rectangular prism with base ABCD at the...Ch. 13.5A - Prob. 20ACh. 13.5A - Prob. 21ACh. 13.5A - Prob. 22ACh. 13.5A - Prob. 23ACh. 13.5A - Prob. 24ACh. 13.5A - Prob. 25ACh. 13.5A - a. Given any rectangle describe ways to decompose...Ch. 13.5A - Prob. 27ACh. 13.5A - Prob. 28ACh. 13.5A - Prob. 29ACh. 13.5A - Prob. 30ACh. 13.5A - Prob. 31ACh. 13.5B - Prob. 1ACh. 13.5B - Prob. 2ACh. 13.5B - Prob. 3ACh. 13.5B - Find the volume of each of the following, a. Right...Ch. 13.5B - Prob. 5ACh. 13.5B - Prob. 7ACh. 13.5B - Prob. 8ACh. 13.5B - Prob. 9ACh. 13.5B - Prob. 10ACh. 13.5B - Prob. 11ACh. 13.5B - Prob. 12ACh. 13.5B - Prob. 13ACh. 13.5B - Prob. 14ACh. 13.5B - Prob. 15ACh. 13.5B - Prob. 16ACh. 13.5B - Prob. 17ACh. 13.5B - Prob. 18ACh. 13.5B - Prob. 19ACh. 13.5B - Prob. 20ACh. 13.5B - Prob. 21ACh. 13.5B - Prob. 22ACh. 13.5B - Prob. 23ACh. 13.5B - A paper clip has a mass of about 1 g. Is it...Ch. 13.5B - Prob. 25ACh. 13.5B - Prob. 26ACh. 13.5B - If the weight of a 1000 bill before it was...Ch. 13.5B - Prob. 28ACh. 13.5B - Prob. 29ACh. 13.5B - Prob. 30ACh. 13.5B - Prob. 31ACh. 13.CR - Complete the following conversions. a. 50ft=yd b....Ch. 13.CR - Prob. 2CRCh. 13.CR - The diagonal of rectangle has measure 1.3m and a...Ch. 13.CR - Prob. 4CRCh. 13.CR - Prob. 5CRCh. 13.CR - Prob. 6CRCh. 13.CR - Prob. 7CRCh. 13.CR - Lines a,bandc are parallel to the line containing...Ch. 13.CR - Prob. 9CRCh. 13.CR - Prob. 11CRCh. 13.CR - Prob. 12CRCh. 13.CR - Prob. 13CRCh. 13.CR - Prob. 14CRCh. 13.CR - Find the surface area and volume of each of the...Ch. 13.CR - Prob. 16CRCh. 13.CR - Prob. 17CRCh. 13.CR - Prob. 18CRCh. 13.CR - Prob. 19CRCh. 13.CR - Prob. 20CRCh. 13.CR - Prob. 21CRCh. 13.CR - Prob. 22CRCh. 13.CR - On a 55 geoboard, a. Draw a polygon whose...Ch. 13.CR - Prob. 24CRCh. 13.CR - Prob. 25CRCh. 13.CR - Prob. 26CRCh. 13.CR - Prob. 27CRCh. 13.CR - Prob. 28CRCh. 13.CR - Prob. 29CRCh. 13.CR - Prob. 30CRCh. 13.CR - Prob. 31CRCh. 13.CR - Prob. 32CRCh. 13.CR - Prob. 33CRCh. 13.CR - Prob. 34CRCh. 13 - Prob. 4NTCh. 13 - Prob. 6NTCh. 13 - Prob. 7NTCh. 13 - Prob. 8NT
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