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mathematics
contemporary mathematics

Contemporary Mathematics 1st Edition OpenStax - Solutions

amount of soda in a bottle Determine the base unit of the metric system described. Choose from liter, gram, or meter.
weight of a book you are mailing Determine the base unit of the metric system described. Choose from liter, gram, or meter.
amount of gasoline needed to fill a car's tankDetermine the base unit of the metric system described. Choose from liter, gram, or meter.
height of a computer desk Determine the base unit of the metric system described. Choose from liter, gram, or meter.
weight of a dog at the veterinarian's officeDetermine the base unit of the metric system described. Choose from liter, gram, or meter.
dimensions of the newest HD TV Determine the base unit of the metric system described. Choose from liter, gram, or meter.
distance a student athlete ran on the treadmill during their latest workout Determine the base unit of the metric system described. Choose from liter, gram, or meter.
amount of water to add to bleach for mopping floorsDetermine the base unit of the metric system described. Choose from liter, gram, or meter.
Write the order of the metric prefixes from greatest to least.
decagrams or decigrams Choose the smaller of the two units.
centimeters or millimeters Choose the smaller of the two units.
liters or kiloliters Choose the smaller of the two units.
decigrams or centigrams Choose the smaller of the two units.
decameters or hectometers Choose the smaller of the two units.
milliliters or deciliters Choose the smaller of the two units.
Convert 158 hectometers to meters (m).
Convert \(12.3 \mathrm{cg}\) to grams ( \(\mathrm{g}\) ).
Convert 160 dam to kilometer \((\mathrm{km})\).
You purchase \(10 \mathrm{~kg}\) of candy. You divide the candy into 25 bags. How many grams of candy are in each bag?
An outdoor track is \(400 \mathrm{~m}\) long. If you run 10 laps around the track, how many kilometers have you run?
An aspirin tablet is \(650 \mathrm{mg}\). If you take 2 aspirin twice in one day, how many grams of aspirin have you taken?
A juice box contains \(450 \mathrm{~mL}\) of juice. If there are 6 juice boxes in a package, how many liters of juice are in the package?
Carlos consumed 4 cans of his favorite energy drink. If each can contains \(111 \mathrm{mg}\) of caffeine, how many grams of caffeine did he consume?
Celeste ran a total distance of \(72,548 \mathrm{~m}\) in 1 week while training for a \(5 \mathrm{~K}\) fun run. How many kilometers did she run?
During week one of their diet, Dakota consumed \(413 \mathrm{~g}\) of carbs. After speaking to their doctor, they only consumed \(210 \mathrm{~g}\) of carbs the second week. How many fewer milligrams of carbs did they consume the second week?
Kaylea gained \(2.3 \mathrm{~kg}\) of muscle weight in 9 months of working out. Cho gained 250 decagrams of muscle during that same time. Who gained more muscle weight? How many grams more?
kitchen floor: \(16 \mathrm{~km}^{2}, 16 \mathrm{~m}^{2}, 16 \mathrm{~cm}^{2}\), or \(16 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
national Park: \(1,000 \mathrm{~km}^{2}, 1,000 \mathrm{~m}^{2}, 1,000 \mathrm{~cm}^{2}\), or \(1,000 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
classroom table: \(5 \mathrm{~km}^{2}, 5 \mathrm{~m}^{2}, 5 \mathrm{~cm}^{2}\), or \(5 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
window: \(9,000 \mathrm{~km}^{2}, 9,000 \mathrm{~m}^{2}, 9,000 \mathrm{~cm}^{2}\), or \(9,000 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
paper napkin: \(10,000 \mathrm{~km}^{2}, 10,000 \mathrm{~m}^{2}, 10,000 \mathrm{~cm}^{2}\), or \(10,000 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
parking lot: \(45,000 \mathrm{~km}^{2}, 45,000 \mathrm{~m}^{2}, 45,000 \mathrm{~cm}^{2}\), or \(45,000 \mathrm{~mm}^{2}\)Determine the most reasonable value for each area.
\(700,000 \mathrm{~cm}^{2}=\) ______________ \(\mathrm{m}^{2}\)Convert the given area to the units shown.
\(24 \mathrm{~m}^{2}=\) _____________ \(\mathrm{cm}^{2}\)Convert the given area to the units shown.
\(985 \mathrm{~cm}^{2}=\) ________________ \(\mathrm{mm}^{2}\)Convert the given area to the units shown.
\(4 \mathrm{~km}^{2}=\) ________________ \(\mathrm{m}^{2}\)Convert the given area to the units shown.
\(0.00005 \mathrm{~km}^{2}=\) _____________ \(\mathrm{cm}^{2}\)Convert the given area to the units shown.
\(68,500,000 \mathrm{~mm}^{2}=\) ____________ \(\mathrm{m}^{2}\)Convert the given area to the units shown.
\(0.005 \mathrm{~m}^{2}=\) ______________ \(\mathrm{mm}^{2}\)Convert the given area to the units shown.
\(7,800 \mathrm{~cm}^{2}=\) ______________ \(\mathrm{m}^{2}\)Convert the given area to the units shown.
\(34.5 \mathrm{~m}^{2}=\) ______________ \(\mathrm{cm}^{2}\)Convert the given area to the units shown.
\(0.05 \mathrm{~km}^{2}=\) ____________ \(\mathrm{m}^{2}\)Convert the given area to the units shown.
\(0.073 \mathrm{~m}^{2}=\) _____________ \(\mathrm{mm}^{2}\)Convert the given area to the units shown.
\(27,750 \mathrm{~mm}^{2}=\) ___________ m2.Convert the given area to the units shown.
\(l=300 \mathrm{~cm}, w=4 \mathrm{~m}\)\(A=\) _____________ \(\mathrm{m}^{2}\)Determine the area.
\(l=3,500 \mathrm{~mm}, w=0.5 \mathrm{~m}\)\(A=\) ___________ \(\mathrm{cm}^{2}\)Determine the area.
\(l=5.5 \mathrm{~km}, w=2,750 \mathrm{~m}\)\(A=\) ________________ \(\mathrm{km}^{2}\)Determine the area.
\(l=2,400 \mathrm{~cm}, w=3.2 \mathrm{~m}\)\(A=\) ____________ \(\mathrm{m}^{2}\)Determine the area.
\(l=7 \mathrm{~cm}, w=400 \mathrm{~mm}\) \(A=\) ___________ \(\mathrm{cm}^{2}\)Determine the area.
\(l=2,300 \mathrm{~m}, w=4 \mathrm{~km}\)\(A=\) _____________ \(\mathrm{km}^{2}\)Determine the area.
\(l=4.2 \mathrm{~cm}, w=320 \mathrm{~mm}\)\(A=\) ___________ \(\mathrm{cm}^{2}\)Determine the area.
\(l=5,350 \mathrm{~mm}, w=0.5 \mathrm{~m}\)\(A=\) _____________ \(\mathrm{cm}^{2}\)Determine the area.
\(l=1.8 \mathrm{~km}, w=2,300 \mathrm{~m}\) \(A=\) ____________ \(\mathrm{km}^{2}\)Determine the area.
A notebook is \(200 \mathrm{~mm}\) by \(300 \mathrm{~mm}\). A sticker on the notebook cover measures \(2 \mathrm{~cm}\) by \(2 \mathrm{~cm}\). How many square centimeters of the notebook cover is still visible?
A bedroom wall is \(4 \mathrm{~m}\) by \(2.5 \mathrm{~m}\). A window on the wall is \(1 \mathrm{~m}\) by \(2 \mathrm{~m}\). How much wallpaper is needed to cover the wall?
A wall is \(5 \mathrm{~m}\) by \(2.5 \mathrm{~m}\). A picture hangs on the wall that is \(600 \mathrm{~mm}\) by \(300 \mathrm{~mm}\). How much of the wall, in \(\mathrm{m}^{2}\), is not covered by the picture?
What is the area of the shape that is shown? 1 cm 3 cm 4 cm 7 cm
A quilter made a design using a small square, a medium square, and a large square. What is the area of the shaded parts of the design that is shown? 14 cm 4 cm 16 cm
A landscaper makes a plan for a walkway in a backyard, as shown. How many square meters of patio brick does the landscaper need to cover the walkway? 2 m 4 m. 2.5 m 1.5 cm 9 m
A painter completed a portrait. The height of the portrait is \(36 \mathrm{~cm}\). The width is half as long as the height. What is the area of the portrait in square meters?
A room has an area of \(137.5 \mathrm{~m}^{2}\). The length of the room is \(11 \mathrm{~m}\). What is the width of the room?
A wall is \(4.5 \mathrm{~m}\) long by \(3 \mathrm{~m}\) high. A can of paint will cover an area of \(10 \mathrm{~m}^{2}\). How many cans of paint are needed if each wall needs 2 coats of paint?
A soccer field is 110 meters long and 75 meters wide. If the cost of artificial turf is \(\$ 30\) per square meter, what is the cost of covering the soccer field with artificial turf?
A window is 150 centimeters wide and 90 centimeters high. If three times the area of the window is needed for curtain material, how much curtain material is needed in square meters?
A rectangular flower garden is 5.5 meters wide and 8.4 meters long. A path with a width of 1 meter is laid around the garden. What is the area of the path?
A dining room is 8 meters wide by 6 meters long. Wood flooring costs \(\$ 12.50\) per square meter. How much will it costs to install wood flooring in the dining room?
College students want to gauge interest in a new club they're thinking about starting. They choose three residence halls at random and slide a survey form under the door to every room.Decide whether randomization is being used in the selection of these samples. If it is, identify the type of random
The managers of a campus dining hall want feedback on a new dish that is being served, so they ask the first 10 people who choose that dish what they think of it.Decide whether randomization is being used in the selection of these samples. If it is, identify the type of random sample (simple,
The administration of a large university system with five campuses wants to administer a survey to students in the system. The administration chooses 50 students at random from each campus; the 250 students selected form the sample.Decide whether randomization is being used in the selection of
A sample of college students were asked how many of their meals were provided by a campus dining hall on the previous day. Here are the results:0 1 0 3 2 3 32 2 0 2 1 1 00 1 2 0 3 0 13 2 3 0 1 3 0Create a frequency distribution for these data. 0 1 0 3 2 3 3 2 2 0 2 1 0 0 1 2 0 3 0 1 3 2 3 0 1 3 0
Create a bar chart to visualize the data in question 4.Data from Question 4A sample of college students were asked how many of their meals were provided by a campus dining hall on the previous day. Here are the results:0 1 0 3 2 3 32 2 0 2 1 1 00 1 2 0 3 0 13 2 3 0 1 3 0Create a frequency
Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) on every school that fielded an NCAA Division I men's basketball team in the 2018-2019 season, to create a histogram of the number of free throws made by each team (FT).
The data below show the top ten scorers (by points per game) in the National Basketball Association for the 2018-2019 season. Find the mode, median, and mean age of these players without technology.Rank Player Age1 James Harden 292 Paul George 283 Giannis Antetokounmpo 244 Joel Embiid 245 Stephen
Using the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets), find the mean, median, and mode of the number of free throws made by each team (FT).
Using the data in "MBB2019” (https://openstax.org/r/Chapter8 Data-Sets), find the range and standard deviation of the number of free throws made by each team (FT).
What number of free throws (FT) is at the 40th percentile?Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets), to answer the following:
At what percentile is Syracuse University, which made 480 free throws?Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets), to answer the following:
Identify the means and standard deviations of these normal distributions: 0 2 4 6 68 10 12 14
What proportion of the data are between 160 and 240 ?Answer the following about data that are distributed normally with mean 200 and standard deviation 20.
What's the standardized score of the data value 235 ?Answer the following about data that are distributed normally with mean 200 and standard deviation 20.
At what percentile would the data value 187 fall?Answer the following about data that are distributed normally with mean 200 and standard deviation 20.
What data value would be at the 90th percentile?Answer the following about data that are distributed normally with mean 200 and standard deviation 20.
What is the standardized score for Purdue Universitiy's number of free throws ( \(\mathrm{FT}=461\) )?Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
At what percentile would we estimate Purdue's value of FT to fall, using the normal distribution?Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
At what percentile does Purdue's value of FT actually fall?Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
For each of the following scatter plots, decide whether linear regression would be appropriate. If it is, classify the strength and direction of the relationship. 8 y 6 4 2 0 8 11 12 X 13 -2 -4
For each of the following scatter plots, decide whether linear regression would be appropriate. If it is, classify the strength and direction of the relationship. 16 y 14 12 10 00 8 80 6 4 7 8 9 10 11 12 13. x
For each of the following scatter plots, decide whether linear regression would be appropriate. If it is, classify the strength and direction of the relationship. -6 -7 -8 -9 -10 -11 -12 y -13- 00 8 9 10 11 12 +x 13
What is the correlation coefficient between the number of field goals attempted per game (FGA) and number of points scored per game (PTS)?Use the data in "NBA2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
What is the equation of the regression line we would use to predict PTS from FGA?Use the data in "NBA2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
Write a sentence to interpret the slope of the regression line.Use the data in "NBA2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
Predict the number of points per game for a player who attempts 16 field goals per game.Use the data in "NBA2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
Danilo Gallinari attempted 13 field goals per game, and averaged 19.8 points per game. Did he score more or fewer points per game than expected? By how much?Use the data in "NBA2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
High school guidance counselors want to know the proportion of the school's seniors who intend to apply for college. They choose four senior homerooms at random, then visit each one and ask every student in those homerooms whether they intend to apply.Decide whether randomization is being used in
A quality control technician wants to ensure that the sandals being made in his factory are up to specifications, so they check the first five pairs they see coming off the line.Decide whether randomization is being used in the selection of these samples. If it is, identify the type of random
A college athletic department wants to check up on the mental wellness of its student-athletes. The department wants to ensure every varsity sport is represented, so they survey three randomly selected members of each team.Decide whether randomization is being used in the selection of these
The purchasing manager for a chain of bookstores wants to make sure they're buying the right types of books to put on the shelves, so they take a sample of 20 books that customers bought in the last five days and record the genres. Use the raw data below to create a categorical frequency
A survey of college students asked how many courses those students were currently taking. Create a quantitative frequency distribution to summarize the raw data given below: 3 4 4 3 5 4 4 3 2 3 5 5 3 3 4 3 2 4 3 4 3 5 3 3 3 2 3 1 3 4 3
The World Bank provides data on every country in the world. The following is a sample of twenty-five countries, along with the number of cell phone subscriptions registered in that country per hundred residents. Create a binned frequency distribution for the cell phone data. Country Cell Country
Create a bar graph of the data without technology.The medical office at a zoo tracks the animals it treats each week. The table shows the classifications for a particular week: Mammal Mammal Reptile Bird Mammal Amphibian Mammal Mammal Mammal Reptile Mammal Bird Mammal Bird Reptile Reptile Amphibian

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