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Question
type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. caleb surveyed 40 students at his school to see how many have dogs and/or cats. he found that 40% of students who have dogs, dont have cats. complete the table below. table with columns have dogs, dont have dogs, total and rows have cats, dont have cats, total with some values filled: 0 in dont have dogs - dont have cats and 40 in total - total and 25 in have dogs - total and 15 in dont have dogs - total
Step1: Find number of students without dogs
We know the total number of students is 40 and the number of students who don't have dogs is 15.
Step2: Fill in known values for rows and columns
We know the total number of students with dogs is 40 - 15=25. Also, the number of students without dogs and without cats is 8. So the number of students without dogs and with cats is 15 - 8 = 7.
Step3: Use the given percentage to find more values
We are given that 40% of students who have dogs don't have cats. So the number of students with dogs and without cats is 0.4×25 = 10. Then the number of students with dogs and with cats is 25 - 10=15. The total number of students with cats is 15 + 7=22, and the total number of students without cats is 10 + 8 = 18.
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| Have Dogs | Don't Have Dogs | Total | |
|---|---|---|---|
| Don't Have Cats | 10 | 8 | 18 |
| Total | 25 | 15 | 40 |