A middle school has 450 students. In a random sample of 100 students, 8 students indicated that they have traveled outside the United States. Predict the number of students at the middle school who have traveled outside the United States.
We can use proportions to make a prediction. We know that 8 out of 100 students in the sample have traveled outside the United States. We can set up the following proportion:
8/100 = x/450
To solve for x, we can cross-multiply:
100x = 8 * 450
100x = 3600
x = 3600/100
x = 36
Therefore, we can predict that 36 students at the middle school have traveled outside the United States.
To predict the number of students at the middle school who have traveled outside the United States, we can use a proportion.
Step 1: Determine the proportion of students in the sample who have traveled outside the United States.
In the random sample of 100 students, 8 students indicated that they have traveled outside the United States. Therefore, the proportion of students in the sample who have traveled outside the United States is 8/100.
Step 2: Use the proportion to estimate the number of students in the entire middle school who have traveled outside the United States.
We can set up a proportion to find the estimated number of students who have traveled:
8/100 = x/450
Cross-multiplying:
100x = 8 * 450
100x = 3600
Dividing both sides by 100:
x = 3600/100
x = 36
Therefore, a prediction based on the 100-student sample is that there are approximately 36 students out of the 450 total students at the middle school who have traveled outside the United States.