In a random sample of students at a middle school, 24 wanted to change the mascot, and 30 wanted to keep the current mascot. Which is the best prediction for how many of the total of 1,140 students want to keep the current mascot?

(a) 507 (b) 600 (c) 633 (d) 950

30/54 * 1140=633

633 To determine the best prediction for how many of the total 1,140 students want to keep the current mascot, we need to determine the proportion of students who want to keep the current mascot in the random sample and apply that proportion to the total population.

In the random sample, there are 24 students who want to change the mascot and 30 students who want to keep the current mascot.

We can calculate the proportion of students who want to keep the current mascot by dividing the number of students who want to keep the current mascot by the total number of students in the random sample:

Proportion = Number of Students who want to keep the current mascot / Total Number of Students in the random sample
= 30 / (24 + 30)
= 30 / 54
= 0.5556 (rounded to four decimal places)

Now we can apply this proportion to the total population of 1,140 students:

Prediction = Proportion * Total Number of Students in the population
= 0.5556 * 1,140
= 633.324 (rounded to the nearest whole number)

Therefore, the best prediction for how many of the total of 1,140 students want to keep the current mascot is 633.

The correct answer is (c) 633.