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Neptune Middle School has 490 students in the 7th grade. Jackie surveys a random sample of 60 7th grade students and finds that 24 of them have pet dogs. How many 7th grade students at Neptune Middle School are likely to have pet dogs?

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Final answer:

Jackie's survey found that 40% of sampled students have pet dogs. Applying this proportion to the entire 7th grade of 490 students, it's estimated that about 196 students likely have pet dogs.

Step-by-step explanation:

The student is asking how to estimate the number of 7th grade students at Neptune Middle School that are likely to have pet dogs based on a sample size. Jackie surveys 60 7th grade students and 24 of them have pet dogs. To estimate the total for the entire grade, the proportion of the sample with dogs is used:

Proportion of students with dogs = Number of sampled students with dogs / Total number of sampled students

Proportion = 24 / 60 = 0.4 or 40%

To estimate the number in the whole grade:

Estimated total with dogs = Proportion × Total number of students in 7th grade

Estimated total = 0.4 × 490 = 196

Approximately 196 7th grade students at Neptune Middle School are likely to have pet dogs based on the survey results.

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