A middle school has 490 students. mae surveys a random sample of 60students and finds that 24 of them have pet dogs. how many students are likely to have pet dogs?
Mathematics · High School · Tue Nov 03 2020
Answered on
Given the statement:
A middle school has 490 students. mae surveys a random sample of 60students and finds that 24 of them have pet dogs.
Determine how many students are likely to have pet dogs.
Solution:
In order to determine how many students are likely to have pet dogs, we take the percentage of the students from the sample and multiply it with the total number of students.
= 24/60
=0.4
Since we are given a decimal answer, in order to convert it into percentage, we multiply the decimal by 100. Hence, in converting a percentage into decimal, we divide the percentage by 100.
= (0.4)(100)
= 40%
Since we know that 40% of the sample have pet dogs, we will multiply 0.4 to 490 to determine how many students have a pet dog.
= (0.4)(490)
= 196
Final answer:
196 students