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mathematics
contemporary mathematics

Contemporary Mathematics 1st Edition OpenStax - Solutions

Baseball:\(145 \mathrm{~kg}, 145 \mathrm{~g}\), or \(145 \mathrm{mg}\)Determine the most reasonable value for each weight.
Orange:\(115 \mathrm{~kg}, 115 \mathrm{~g}\), or \(115 \mathrm{mg}\)Determine the most reasonable value for each weight.
Pencil:\(6 \mathrm{~kg}, 6 \mathrm{~g}\), or \(6 \mathrm{mg}\)Determine the most reasonable value for each weight.
Automobile:\(1,300 \mathrm{~kg}, 1,300 \mathrm{~g}\), or \(1,300 \mathrm{mg}\)Determine the most reasonable value for each weight.
\(3,500 \mathrm{~g}=\) ___________ \(\mathrm{kg}\)Convert the given weight to the units shown.
\(53 \mathrm{~g}=\) ___________ \(\mathrm{mg}\)Convert the given weight to the units shown.
\(0.02 \mathrm{~kg}=\) ___________ g.Convert the given weight to the units shown.
\(200 \mathrm{mg}=\) _____________ g.Convert the given weight to the units shown.
\(2.3 \mathrm{~g}=\) _________ \(\mathrm{mg}\)Convert the given weight to the units shown.
\(20 \mathrm{~kg}=\) ____________ mg.Convert the given weight to the units shown.
\(2,300 \mathrm{~kg}=\) ___________ g.Convert the given weight to the units shown.
\(8,700 \mathrm{mg}=\) ___________ g.Convert the given weight to the units shown.
\(9,730 \mathrm{mg}=\) _________ g.Convert the given weight to the units shown.
\(0.0078 \mathrm{~kg}=\) _____________ g.Convert the given weight to the units shown.
\(2.34 \mathrm{~g}=\) ______________ mg.Convert the given weight to the units shown.
\(234.5 \mathrm{mg}=\) _________ \(\mathrm{mg}\)Convert the given weight to the units shown.
Three \(350 \mathrm{mg}\) tablets ___________ g. Determine the total weight in the units shown.
Seven \(115 \mathrm{~g}\) soap bars ___________ \(\mathrm{kg}\)Determine the total weight in the units shown.
Six \(24 \mathrm{~g}\) batteries ______________ \(\mathrm{mg}\)Determine the total weight in the units shown.
Fifty \(3.56 \mathrm{~g}\) pennies ____________ \(\mathrm{mg}\)Determine the total weight in the units shown.
Eight \(2.25 \mathrm{~kg}\) bags of potatoes ____________ g.Determine the total weight in the units shown.
Four \(23 \mathrm{~kg}\) sacks of flour ____________ g.Determine the total weight in the units shown.
Ten \(2.5 \mathrm{~kg}\) laptops ____________ g. Determine the total weight in the units shown.
Seven \(1,150 \mathrm{~g}\) chickens ___________ kg.Determine the total weight in the units shown.
Ninety \(4,500 \mathrm{mg}\) marbles _______________ \(\mathrm{kg}\)Determine the total weight in the units shown.
There are 26 bags of flour. Each bag weighs \(5 \mathrm{~kg}\). What is the total weight of the flour?
The average female hippopotamus weighs \(1,496 \mathrm{~kg}\). The average male hippopotamus weighs \(1,814 \mathrm{~kg}\). How much heavier, in grams, is the male hippopotamus than the female hippopotamus?
Twelve pieces of cardboard weigh 72 grams. What is the weight of one piece of cardboard?
Miguel's backpack weighs \(2.4 \mathrm{~kg}\) and Shanayl's backpack weighs 2,535 grams. Whose backpack is heavier and by how much?
A souvenir chocolate bar weighs \(1.815 \mathrm{~kg}\). If you share the candy bar equally with two friends, how many grams of chocolate does each person get?
You purchase 10 bananas that weigh 50 grams each. If bananas cost \(\$ 5.50\) per kilogram, how much did you pay?
A family-size package of ground meat costs \(\$ 15.75\). The package weighs \(4.5 \mathrm{~kg}\). What is the cost per gram of the meat?
A box containing 6 identical books weighs \(7.2 \mathrm{~kg}\). The box weighs \(600 \mathrm{~g}\). What is the weight of each book in grams?
A \(2.316 \mathrm{~kg}\) bag of candy is equally divided into 12 party bags. What is the weight of the candy, in grams, in each party bag?
A store has \(450 \mathrm{~kg}\) of flour at the beginning of the day. At the end of the day the store has \(341 \mathrm{~kg}\) of flour. If flour costs \(\$ 0.35\) per kilogram, how much flour, in dollars, did the store sell that day?
A local restaurant offers lobster for \(\$ 110\) per kilogram. What is the price for a lobster that weighs 450 grams?
A student's backpack weighs 575 grams. Their books weigh \(3.5 \mathrm{~kg}\). If the student's weight while wearing their backpack is \(58.25 \mathrm{~kg}\), how much does the student weigh in kilograms?
The weight of a lamb is \(41 \mathrm{~kg} 340 \mathrm{~g}\). What is the total weight, in kilograms, of four lambs of the same weight?
Human body:\(37^{\circ} \mathrm{C}\) or\(37^{\circ} \mathrm{F}\)Determine the most reasonable value for each temperature.
An ice cube: \(32^{\circ} \mathrm{C}\) or\(0^{\circ} \mathrm{C}\)Determine the most reasonable value for each temperature.
Boiling water:\(212^{\circ} \mathrm{C}\)or \(212^{\circ} \mathrm{F}\)Determine the most reasonable value for each temperature.
Summer day:\(8^{\circ} \mathrm{C}\),\(23^{\circ} \mathrm{C}\), or\(75^{\circ} \mathrm{C}\)Determine the most reasonable value for each temperature.
Winter day:\(33^{\circ} \mathrm{C}\),\(30^{\circ} \mathrm{C}\), or\(3^{\circ} \mathrm{C}\)Determine the most reasonable value for each temperature.
Lava:\(700^{\circ} \mathrm{C}\),\(70^{\circ} \mathrm{C}\), or\(7^{\circ} \mathrm{C}\)Determine the most reasonable value for each temperature.
\(500^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\)Use mental math to approximate the temperature.
\(25^{\circ} \mathrm{C}=\) _____________ \({ }^{\circ} \mathrm{F}\)Use mental math to approximate the temperature.
\(350^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\)Use mental math to approximate the temperature.
\(150^{\circ} \mathrm{C}=\) _____________ \({ }^{\circ} \mathrm{F}\)Use mental math to approximate the temperature.
\(-4^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\)Use mental math to approximate the temperature.
\(73^{\circ} \mathrm{C}=\) _____________ \({ }^{\circ} \mathrm{F}\)Use mental math to approximate the temperature.
\(72^{\circ} \mathrm{F}=\) _____________ °C.Use mental math to approximate the temperature.
\(10^{\circ} \mathrm{C}=\) _____________ \({ }^{\circ} \mathrm{C}\)Use mental math to approximate the temperature.
\(1,020^{\circ} \mathrm{F}=\) _____________ °C.Use mental math to approximate the temperature.
\(450^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\)Convert the temperatures to the nearest degree.
\(35^{\circ} \mathrm{C}=\) _____________ °F.Convert the temperatures to the nearest degree.
\(525^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{F}\) Convert the temperatures to the nearest degree.
\(140^{\circ} \mathrm{C}=\) _____________ °F.Convert the temperatures to the nearest degree.
\(-40^{\circ} \mathrm{F}=\) _____________ °C.Convert the temperatures to the nearest degree.
\(67^{\circ} \mathrm{C}=\) _____________ °F.Convert the temperatures to the nearest degree.
\(85^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\) Convert the temperatures to the nearest degree.
\(15^{\circ} \mathrm{C}=\) _____________ \({ }^{\circ} \mathrm{F}\)Convert the temperatures to the nearest degree.
\(1,200{ }^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\)Convert the temperatures to the nearest degree.
\(112^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\) Convert the temperatures to the nearest degree.
\(105^{\circ} \mathrm{C}=\) _____________ \({ }^{\circ} \mathrm{F}\)Convert the temperatures to the nearest degree.
\(125^{\circ} \mathrm{F}=\) _____________ \({ }^{\circ} \mathrm{C}\)Convert the temperatures to the nearest degree.
A cup of tea is \(30^{\circ} \mathrm{C}\). After adding ice, the temperature of the tea decreased \(3^{\circ} \mathrm{C}\). What is the temperature of the tea now?
A liquid with a temperature of \(15^{\circ} \mathrm{C}\) is placed on a stovetop. The liquid is heated at the rate of \(1.5^{\circ} \mathrm{C}\) per minute. What is the temperature of the liquid after 10 minutes?
The temperature inside a store is \(22^{\circ} \mathrm{C}\). Outside the temperature is \(37^{\circ} \mathrm{C}\). How much cooler is it in the store than outside?
A boiling pan of water is \(212^{\circ} \mathrm{F}\). As the water cools the temperature drops \(6^{\circ} \mathrm{C}\) every 2 minutes. How many minutes until the temperature of the water reaches \(40^{\circ} \mathrm{C}\) ?
On May 1 the temperature was \(79^{\circ} \mathrm{F}\). On June 1 the temperature was \(25^{\circ} \mathrm{C}\). Which day was warmer?
For each log placed on a fire, the temperature increases \(45^{\circ} \mathrm{C}\). How many logs are needed for the campfire to increase \(315^{\circ} \mathrm{C}\) ?
The temperature of a Bunsen burner flame increases \(572^{\circ} \mathrm{F}\) each minute. About how many minutes does it take for the flame to increase \(1,200^{\circ} \mathrm{C}\) ?
The instructions to cook a pizza say to set the oven at \(425^{\circ} \mathrm{F}\). To the nearest degree, what is the temperature in degrees Celsius?
In the evening the temperature was \(3^{\circ} \mathrm{C}\). By morning, the temperature had fallen \(4^{\circ} \mathrm{C}\). What is the temperature now?
An \(8,000 \mathrm{BTU}\) air conditioner can cool a room \(1^{\circ} \mathrm{C}\) every 5 minutes. If the temperature in the room is \(24^{\circ} \mathrm{C}\), how long will it take the air conditioner to cool the room to \(20^{\circ} \mathrm{C}\) ?
What is \(95^{\circ} \mathrm{F}\) in degrees Celsius?
What is \(50^{\circ} \mathrm{C}\) in degrees Fahrenheit?
Which is a reasonable value for the temperature of a room:- \(60^{\circ} \mathrm{C}\)- \(40^{\circ} \mathrm{C}\), or- \(20^{\circ} \mathrm{C}\) ?
A vinyl record dealer is trying to price a large collection she's thinking of buying. She looks at every tenth record on the shelf and notes the value.Decide whether randomization is being used in the selection of these samples. If it is, identify the type of random sample (simple, systematic,
A court clerk is charged with identifying one hundred people for a jury pool for upcoming legal hearings. He has an alphabetized list of registered voters in his jurisdiction, so he uses a random number generator to pick one hundred names from the list.Decide whether randomization is being used in
A state agricultural officer is worried about the spread of a parasitic disease among cattle. He chooses 30 cattle farms at random and tests each cow on those 30 farms for the disease.Decide whether randomization is being used in the selection of these samples. If it is, identify the type of random
A sample of donations to a blood bank contained these blood types:A O A O A A AB OO A AB A O O A AO O B O B O O OB A O A O O A AA Create a frequency distribution for these data. A A A AB A 00 B A B A A AB B D> A A >> A
Create a bar chart without technology to visualize the data in question 4.
Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) to create a histogram of the number of total rebounds by each team (TRB).
The table below shows the number of players on the rosters of each English Premier League team. Find the mode, median, and mean without technology.Team Active Players Team Active PlayersManchester United F.C. 27 Newcastle United F.C. 28Manchester City F.C. 24 Aston Villa F.C. 24Chelsea F.C. 25
Using the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets), find the mean, median, and mode of the total number of rebounds made by each team (TRB).
Using the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets), find the range and standard deviation of the total number of rebounds made by each team (TRB).
What number of total rebounds (TRB) is at the 3rd quartile?Use the data in "MBB2019” (https://openstax.org/r/Chapter8 Data-Sets) to answer the following.
At what percentile is the University of Evansville, which had 1095 total rebounds?Use the data in "MBB2019” (https://openstax.org/r/Chapter8 Data-Sets) to answer the following.
What proportion of the data are between 35 and 65 ?Answer the following about data that are distributed normally with mean 50 and standard deviation 5.
What's the standardized score of the data value 37 ?Answer the following about data that are distributed normally with mean 50 and standard deviation 5.
At what percentile would the data value 58 fall?Answer the following about data that are distributed normally with mean 50 and standard deviation 5.
What data value would be at the 40 th percentile?Answer the following about data that are distributed normally with mean 50 and standard deviation 5.
What is the standardized score for the number of total rebounds (TRB) recorded by Mississippi State University \((\mathrm{TRB}=1215) ?\)Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
At what percentile would we estimate Mississippi State's TRB value 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 Mississippi State's TRB value actually fall?Use the data in "MBB2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
What is the correlation coefficient between the number of two-point field goals made per game (2P) 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 2P?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 makes 6 two-point field goals per game.Use the data in "NBA2019" (https://openstax.org/r/Chapter8 Data-Sets) to answer the following:
J.J. Redick made 2.8 field goals per game, and averaged 18.1 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:

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