Problem Solving Approach to Mathematics for Elementary School Teachers
13th Edition
ISBN: 9780135184097
Author: BILLSTEIN
Publisher: PEARSON CO
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Chapter 13.5B, Problem 20A
To determine
To find:
The volume of the box.
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Grear Tire Company has produced a new tire with an estimated mean lifetime mileage of 34,500 miles. Management also believes that the standard deviation is 4,500 miles and that tire mileage is normally distributed. To promote the new tire, Grear has offered to refund a portion of the purchase price
if the tire fails to reach 30,000 miles before the tire needs to be replaced. Specifically, for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000. Construct a simulation model to answer the following questions. (Use at least 1,000 trials.)
(a) For each tire sold, what is the average cost of the promotion (in $)? (Round your answer to two decimal places.)
(b) What is the probability that Grear will refund more than $25 for a tire? (Round your answer to three decimal places.)
Major League Baseball's World Series is a maximum of seven games, with the winner being the first team to win four games. Assume that the Atlanta Braves and the Minnesota Twins are playing in the World Series and that the first two games are to be played in Atlanta, the next three games at the
Twins' ballpark, and the last two games, if necessary, back in Atlanta. Taking into account the projected starting pitchers for each game and the home field advantage, suppose the probabilities of Atlanta winning each game are as follows.
Game
1
2
3
4
5
6
7
Probability of Win 0.61
0.54
0.47
0.46
0.47 0.56
0.49
Construct a simulation model in which whether Atlanta wins or loses each game is a random variable. Use the model to answer the following questions. (Use at least 1,000 trials.)
(a) What is the average number of games played regardless of winner? (Round your answer to one decimal place.)
games
(b) What is the probability that the Atlanta Braves win the World Series? (Round your answer to…
1 Brinkley
2
A
B
с
D
E
F
G
H
I
J
3
Parameters
4 Selling Price
5 Procurement Cost
6 Labor Cost
7 Transportation Cost
8
9 Procurement Cost
10 Lower End of Interval
Upper End of Interval
Cost
Probability
11
$10.00
12
$11.00
0.25
0.45
13
$12.00
0.3
14
15 Labor Cost
16 Lower End of Interval
Upper End of Interval
Cost
Probability
17
$20.00
0.1
18
$22.00
0.25
19
$24.00
0.35
20
$25.00
0.3
21
22 Transportation Cost
23 Lower End of Interval
Upper End of Interval
Cost
Probability
24
25
$3.00
$5.00
0.75
0.25
26
27
Model
28 Profit Per Unit
29
30
Simulation Trial
Procurement Cost
Labor Cost
Transportation Cost
Profit Per Unit Summary Statistics
31
1
Mean Profit Per Unit
#DIV/0!
32
2
P(Profit <$5)
#DIV/0!
83
3
34
4
35
5
36
6
37
7
38
8
39
9
40
10
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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