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mathematics
contemporary mathematics

Contemporary Mathematics 1st Edition OpenStax - Solutions

Compute the median and mean proportions of degrees awarded in Social Science.Use the data in "CUNY" (https://openstax.org/r/Chapter8 Data-Sets) (taken from data.ed.gov, which gives proportions of degrees awarded in various disciplines) to answer the given question.
Compute the range.Given the data \(81,84,89,85,86,84\).
Compute the standard deviation using the formula.Given the data \(81,84,89,85,86,84\).
Compute the range.Given the data \(127,167,156,158,156,157\).
Compute the standard deviation using the formula.Given the data \(127,167,156,158,156,157\).
Find the range of admissions rates.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of applicants that are
Find the standard deviation of admissions rates.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of
Find the range of undergraduate enrollments.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of applicants
Find the standard deviation of undergraduate enrollments.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion
Find the range of the proportions of undergraduates attending part-time.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate
Find the standard deviation of the proportions of undergraduates attending part-time.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name
Find the range of in-state tuition costs.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of applicants
Find the standard deviation of in-state tuition costs.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of
Find the range of median debt.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of applicants that are
Find the standard deviation of median debt.Use the data found in "TNSchools" (https://openstax.org/r/Chapter8 Data-Sets), which has data on many institutions of higher education in the state of Tennessee. Here are what the columns represent: Column Name AdmRate Description Proportion of applicants
Compute the standard deviation and range of points.Use the table below, which gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored
Compute the standard deviation and range of wins.Use the table below, which gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by
Compute the standard deviation and range of losses.Use the table below, which gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored
Compute the standard deviation and range of ties.Use the table below, which gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by
Compute the standard deviation and range of goals scored (GF).Use the table below, which gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T),
Compute the standard deviation and range of goals against (GA).Use the table below, which gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T),
Price Data are collected on a sample of items found in a grocery store. Classify each of these datasets obtained from that sample as being categorical or quantitative.
Calories per serving Data are collected on a sample of items found in a grocery store. Classify each of these datasets obtained from that sample as being categorical or quantitative.
Whether the product is gluten-free Data are collected on a sample of items found in a grocery store. Classify each of these datasets obtained from that sample as being categorical or quantitative.
Package weight Data are collected on a sample of items found in a grocery store. Classify each of these datasets obtained from that sample as being categorical or quantitative.
Country of origin Data are collected on a sample of items found in a grocery store. Classify each of these datasets obtained from that sample as being categorical or quantitative.
A newspaper asks its readers to answer an online poll about proposed zoning changes in their city.Decide whether random samples are being selected. If they are, decide whether they are simple, systematic, cluster, or stratified.
An electronics retailer uses a computer to randomly select customers in its rewards club to take a survey about their interest in a new product.Decide whether random samples are being selected. If they are, decide whether they are simple, systematic, cluster, or stratified.
The student affairs office at a university wants to make sure students who live on campus are satisfied with their access to laundry facilities. They select five students at random from each residence hall to take the survey.Decide whether random samples are being selected. If they are, decide
A professor wants to gauge how much time her students spend on homework, so she asks that question of each student who comes to her office hours that day.Decide whether random samples are being selected. If they are, decide whether they are simple, systematic, cluster, or stratified.
The management at a restaurant wants feedback about its new menu. They choose ten tables at random, and survey each person seated at that table.Decide whether random samples are being selected. If they are, decide whether they are simple, systematic, cluster, or stratified.
The transit authority in a large city wants to know about usage on a particular train route. They choose a number between 1 and 5 at random, and get 4 . They then count the number of people on the fourth train to pass through the station, and then count every fifth train after that.Decide whether
A candidate for a seat in the U.S. Congress wants to learn which issues are most important to her potential constituents. She chooses 50 people at random from each zip code in her district to survey.Decide whether random samples are being selected. If they are, decide whether they are simple,
Describe how you might choose a simple random sample from this population.You have been tasked with surveying a sample of 100 registered voters who live in your town. You have access to a spreadsheet containing the following data on every registered voter: name, address, age, phone number. The
Describe how you might choose a stratified random sample from this population to ensure that all age groups are represented.You have been tasked with surveying a sample of 100 registered voters who live in your town. You have access to a spreadsheet containing the following data on every registered
Assume that there are 50,000 registered votes on your list. Describe how you might choose a systematic random sample from this population.You have been tasked with surveying a sample of 100 registered voters who live in your town. You have access to a spreadsheet containing the following data on
A sample of students was asked, "Which social media platform, if any, do you use most frequently?" The raw responses are given in this table:Create a categorical frequency distribution to summarize these data. None Twitter Snapchat Snapchat Twitter Facebook Instagram Snapchat Twitter None Snapchat
A sample of students at a large university were asked whether they were full-time students living on campus (FullTime Residential, FTR), full-time students who commuted (FTC), or part-time students (PT). The raw data are in the table below:Give the categorical frequency distribution for these data.
A survey of students in a math class asked for the respondents' birth months. The table below lists the responses:Give the categorical frequency distribution of the birth months. Dec Feb Apr Sep Nov Dec Aug Feb Feb Sep Oct Feb Jun Jan Jul May May Jan Mar Feb Nov Oct Apr Oct Aug Jan May Jan
Students in a statistics class were asked how many countries (besides their home countries) they had visited. The table below gives the raw responses:Create a frequency distribution to summarize the data. 0 0 2 1 N 1 3 2 0 0 2 1 1 0 1 0 1 0 1 0 2 0 1 1 0 0 1 0
The following table contains the top 25 receivers (by number of receptions) in the NFL during the 2020 season, along with their teams and the number of fumbles each made over the course of the season:Create a frequency distribution for the number of fumbles made by these players. Player Team
A public opinion poll about an upcoming election asked respondents, "How many political advertisements do you recall seeing on television in the last 24 hours?" The responses were as followsCreate a frequency distribution for these data. 6 2 5 5 2 2 4 1 3 0 1 2 1 6 2 5 4 00 6 3 3 4 2 5 3 4 2 2 3
Make a binned frequency distribution for receiving yards ("Yards") using bins of width 200.Use the following table of data on the top 15 receivers (by number of receptions) in the NFL during the 2020 season: Player Team Age Receptions Yards Yds/Rec TD Long Stefon Diggs BUF 27 127 1535 12.1 8 55
Make another binned frequency distribution for receiving yards ("Yards"), but this time use bins of width 250.Use the following table of data on the top 15 receivers (by number of receptions) in the NFL during the 2020 season: Player Team Age Receptions Yards Yds/Rec TD Long Stefon Diggs BUF 27 127
Make a binned frequency distribution for number of yards per reception ("Yds/Rec"), using bins of width 1.Use the following table of data on the top 15 receivers (by number of receptions) in the NFL during the 2020 season: Player Team Age Receptions Yards Yds/Rec TD Long Stefon Diggs BUF 27 127
Make a binned frequency distribution for longest reception (“Long"), using bins of width 10.Use the following table of data on the top 15 receivers (by number of receptions) in the NFL during the 2020 season: Player Team Age Receptions Yards Yds/Rec TD Long Stefon Diggs BUF 27 127 1535 12.1 8 55
Make a bar chart to visualize these responses.The table below shows the answers to the question, "Which social media platform, if any, do you use most frequently?" None Twitter Snapchat Snapchat Twitter Facebook Instagram Snapchat Twitter None Snapchat Instagram Instagram Facebook Snapchat
Make a pie chart to visualize these responses.The table below shows the answers to the question, "Which social media platform, if any, do you use most frequently?" None Twitter Snapchat Snapchat Twitter Facebook Instagram Snapchat Twitter None Snapchat Instagram Instagram Facebook Snapchat
Make a bar chart to visualize these responses.A sample of students at a large university were asked whether they were full-time students living on campus (Full-Time Residential, FTR), full-time students who commuted (FTC), or part-time students (PT). The raw data are in the table below: FTR FTR FTC
Make a pie chart to visualize these responses.A sample of students at a large university were asked whether they were full-time students living on campus (Full-Time Residential, FTR), full-time students who commuted (FTC), or part-time students (PT). The raw data are in the table below: FTR FTR FTC
Create a bar graph visualizing these data (treating the responses as categorical).Students in a statistics class were asked how many countries (besides their home countries) they had visited; the table below gives the raw responses: 0 2 11 3 2 0 2 0 1 0 2 0 1 0 1 1 0 1 0 0 2 1 1 0 1 1
Create a pie chart visualizing these data.Students in a statistics class were asked how many countries (besides their home countries) they had visited; the table below gives the raw responses: 0 2 11 3 2 0 2 0 1 0 2 0 1 0 1 1 0 1 0 0 2 1 1 0 1 1
Create a bar graph to visualize these data.The purchasing department 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:The purchasing
Create a pie chart to visualize these data.The purchasing department 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: Nonfiction Young
Make a stem-and-leaf plot to visualize these results.An elementary school class is administered a standardized test for which scores range from 0 to 100 , as shown below: 60 60 54 71 80 63 72 70 88 88 67 74 79 50 99 64 98 55 64 86 92 72 65 88 80 65
Make a histogram to visualize these results. Use bins of width 10.An elementary school class is administered a standardized test for which scores range from 0 to 100 , as shown below: 60 60 54 71 80 63 72 70 88 88 67 74 79 50 99 64 98 55 64 86 92 72 65 88 80 65
Make a stem-and-leaf plot for PTS.The following table gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by that team (GF), and
Make a histogram for PTS, using bins of width 5 .The following table gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by that
Make a histogram for GF, using bins of width 5 .The following table gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by that
Make a histogram for GA, using bins of width 5 .The following table gives the final results for the 2021 National Women's Soccer League season. The columns are standings points (PTS; teams earn three points for a win and one point for a tie), wins (W), losses (L), ties (T), goals scored by that
What is the highest degree offered in colleges across the CUNY system?Use the "CUNY" (https://openstax.org/r/Chapter8 Data-Sets) dataset-which gives the location (borough) of each college in the City University of New York (CUNY) system, the highest degree offered, and the proportions of total
What is the distribution of the proportion of degrees awarded in Information Science across the CUNY system?Use the "CUNY" (https://openstax.org/r/Chapter8 Data-Sets) dataset-which gives the location (borough) of each college in the City University of New York (CUNY) system, the highest degree
In which boroughs are the CUNY colleges located?Use the "CUNY" (https://openstax.org/r/Chapter8 Data-Sets) dataset-which gives the location (borough) of each college in the City University of New York (CUNY) system, the highest degree offered, and the proportions of total degrees awarded in a
What are the proportions of degrees awarded across the listed humanities fields (Foreign Language, English, Humanities, Philosophy \& Religion, History) at City College?Use the "CUNY" (https://openstax.org/r/Chapter8 Data-Sets) dataset-which gives the location (borough) of each college in the City
What proportions of degrees are awarded in Social Service at the different institutions located in Manhattan?Use the "CUNY" (https://openstax.org/r/Chapter8 Data-Sets) dataset-which gives the location (borough) of each college in the City University of New York (CUNY) system, the highest degree
Make a stem-and-leaf plot for the longest receptions ("Long").Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Make a stem-and-leaf plot for receptions.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Make a histogram for yards.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Make a histogram for yards per reception ("Yds/Rec").Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Make a histogram for the longest receptions (“Long").Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Make a histogram for receptions.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Make a histogram for age.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Describe the distribution of age as left-skewed, symmetric, or right-skewed.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Describe the distribution of receptions as left-skewed, symmetric, or right-skewed.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020
Describe the distribution of yards as left-skewed, symmetric, or right-skewed.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during the 2020 season.
Describe the distribution of touchdowns (“TD”) as left-skewed, symmetric, or right-skewed.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during
Describe the distribution of longest receptions as left-skewed, symmetric, or right-skewed.Use the data found in the "Receivers" (https://openstax.org/r/Chapter8 Data-Sets) dataset on the top 25 receivers (by number of receptions; data collected from pro-football-reference.com) in the NFL during
You are booking a round trip flight for vacation. If there are 4 outbound flight options and 7 return flight options, how many different options do you have?
You are putting together a social committee for your club. You'd like broad representation, so you will choose one person from each class. If there are 8 seniors, 12 juniors, 10 sophomores, and 6 first-years, how many committees are possible?
The Big Breakfast Platter at Jimbo's Sausage Haus gives you your choice of 4 flavors of sausage, 5 preparations for eggs, 3 different potato options, and 4 different breads. If you choose one of each, how many different Big Breakfast Platters can be selected?
The multiple-choice quiz you're about to take has 10 questions with 4 choices for each. How many ways are there to fill out the quiz?
Compute \(\frac{8!}{2!3!3!}\).
Compute \(\frac{12!}{8!3!}\).
Compute \(\frac{211!}{210!}\)
Compute \({ }_{5} P_{3}\).
Compute \({ }_{15} P_{3}\).
Compute \({ }_{22} P_{5}\).
As you plan your day, you see that you have 6 tasks on your to-do list. You'll only have time for 5 of those. How many schedules are possible for you today?
As captain of your intramural softball team, you are responsible for setting the 10 -person batting order for the team. If there are 12 people on the team, how many batting orders are possible?
If you're trying to decide which 4 of your 12 friends to invite to your apartment for a dinner party, are you using permutations or combinations?
If you're trying to decide which of your guests sits where at your table, are you using permutations or combinations?
Compute \({ }_{7} C_{4}\).
Compute \({ }_{13} C_{8}\).
How many ways are there to draw a hand of 8 cards from a deck of 16 cards?
In a card game with 4 players and a deck of 12 cards, how many ways are there to deal out the four 3 -card hands?
If you draw a card at random from a standard 52 -card deck and note its suit, what is the sample space?
If you draw 2 cards at random from a standard 52 -card deck and note the 2 suits (without paying attention to the order), what is the sample space?
If you draw 2 Scrabble tiles in order without replacement from a bag containing \(E, E, L, S\), what is the sample space?
If you draw 2 Scrabble tiles without replacement and ignoring order from a bag containing E, E, L, S, what is the sample space?
If you draw 2 Scrabble tiles without replacement and ignoring order from a bag containing E, E, L, S, what is the sample space?

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