Question
Jesen asked 100 people at his school whether they prefer digital or print textbooks. Construct a two-way frequency table that shows the relationship between the persons position and their textbook preference.
![](data:image/png;base64,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)
Hint:
- Categories are labelled in the left column and top row.
- The counts are placed in the centre of the table.
- Totals appear at the end of each row and column.
- A sum of all counts (a grand total) is placed at the bottom right.
The correct answer is: 100
Answer:
- Two-way frequency table:
Digital
Print
Total
Students
42
28
70
Teachers
6
24
30
Total
48
52
100
Digital
Print
Total
Students
42
28
70
Teachers
6
24
30
Total
48
52
100
Related Questions to study
The owners of beach resorts want to know which is more popular kayaking or snorkeling. The resort conducts a poll, asking visitors their age and which activity they prefer. The results are shown in the table.
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)
a) Use a table to describe the visitors polled
b) What information can the owners of the resort determine from the data in the table?
The owners of beach resorts want to know which is more popular kayaking or snorkeling. The resort conducts a poll, asking visitors their age and which activity they prefer. The results are shown in the table.
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)
a) Use a table to describe the visitors polled
b) What information can the owners of the resort determine from the data in the table?
Solve each absolute value inequality. Graph the solution:
![vertical line x vertical line plus 5 greater or equal than 10](data:image/png;base64,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)
Solve each absolute value inequality. Graph the solution:
![vertical line x vertical line plus 5 greater or equal than 10](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAFYAAAASCAYAAADBnymNAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAOJ5y/mQAAAa5JREFUeNpjYECA/wyUA2qYMezAaMCOwID9jwfTAqgBcS0QX8Cjhg+IpwHxSSieCRUbcgFLT7AYiNMI2LsXiP2Q+D5QsUERsP9pGLD7gdiSRv4JBeJJWMQnAHEkMYYkA3EHFvFmqNxgDlhLaAqiJIBx2bsGiN2wiDtC5Ygy5BwQiyPxE4F4yhBIsdQIYFz2vgNiNiziILGXxBriAcR9ULYLrnKEDgH7C4g/AfE2IC4CYh46BDAu9/3Bo+cXKZ7cDcT20FpSmIKA+k8ExgdYgNgYWmPfAGINMlJwERVyCr6A/UFKoBRAY0JvgCovbABUxh0kMcXuh6ZaSlPsSxxFAQcpRYE1tEDuw1bjDWDAYk0dVApQYiovDxyRTVTlpQTEm4CYC1qmnaGwKKBmwOoA8V0aBSgh9wUB8Wws4vOJaW6JQisKYbRG8OIBCNh10MBhgmIPaKAGEWjA06odC2snF0DLfVCxUI2raPqP1mwAeUYai7rlOLIBLXtIoAb5LWilAWrqrAJiUxp37wlVqoJAPBdaHH2Ddml5RsIgzA8CeHQQZqiD0YClYdYZDGYMCwAA1NWg76Q6dc0AAACNdEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1vPnw8L21vPjxtaT54PC9taT48bW8+fDwvbW8+PG1vPis8L21vPjxtbj41PC9tbj48bW8+JiN4MjI2NTs8L21vPjxtbj4xMDwvbW4+PC9tYXRoPmVC1F8AAAAASUVORK5CYII=)
Solve each absolute value inequality. Graph the solution :
![negative 2 greater than vertical line x vertical line minus 8](data:image/png;base64,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)
Solve each absolute value inequality. Graph the solution :
![negative 2 greater than vertical line x vertical line minus 8](data:image/png;base64,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)
Yumiko solved
. Explain the error Yumiko made ?
Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘mod x’.
Yumiko solved
. Explain the error Yumiko made ?
Absolute value of a variable has many uses in mathematics. Geometrically, the absolute value of a number may be considered as its distance from zero regardless of its direction. The symbol |.| is pronounced as ‘modulus’. We read |x| as ‘modulus of x’ or ‘mod x’.