Question

a middle school has 490 students and mae surveys a random sample of 60 students and finds that 24 of them have pet dogs how many are likely to have pet dogs

Answer 1

To find out how many students are likely to have pet dogs, we can use the concept of probability. Mae surveyed a random sample of 60 students from a middle school with 490 students and found that 24 of them had pet dogs. By using the estimated proportion of students with pet dogs in the sample, we can estimate that around 196 students in the middle school have pet dogs.

Step-by-step explanation:

To find out how many students are likely to have pet dogs, we can use the concept of probability. Since Mae surveyed a random sample of 60 students from a middle school with 490 students, we can assume that the proportion of students with pet dogs in the sample is representative of the overall proportion in the population.

Mae found that 24 out of the 60 surveyed students had pet dogs. To find the estimated proportion of students in the middle school with pet dogs, we divide the number of students with pet dogs by the total number of students surveyed: 24/60 = 0.4.

To calculate the number of students in the middle school who are likely to have pet dogs, we multiply the estimated proportion by the total number of students in the middle school: 0.4 * 490 = 196. Therefore, it is likely that around 196 students in the middle school have pet dogs.

Answer 2

If you would like to know how many students are likely to have pet dogs, you can calculate this using the following steps:

24 students have pet dogs ... 60 students
x students have pet dogs = ? ... 490 students

24 * 490 = 60 * x /60
x = 24 * 490 / 60
x = 196 students

Result: 196 students are likely to have pet dogs.