In order to answer this question we first need to know what "sample" means. A sample is a subset of a population.

Because we want a subset, we don't want the entire population, which eliminates the answer choices "Everyone who was at the debate ". Also, the principal wants to know what the student body thought about the topics debated, not the teachers, which eliminates "All of the teachers". Finally, the principal didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the debate" the best answer choice.

In order to solve this problem, we need to start at on the number line.

Next, we have which means we need to move places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.

The orange arrow moved places to the right, and ended at ; thus,

In order to solve this problem, we need to start at on the number line.

Next, we have which means we need to move places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.

The orange arrow moved places to the left, and ended at ; thus,

Set up the following proportion, with being the number of freshmen.

Now, cross-multiply and solve for .

In order to solve this problem, we need to start at on the number line.

Next, we have which means we need to move places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.

The orange arrow moved places to the right, and ended at ; thus,

We know the following information:

However, the changes our answer, in this particular case. There are a couple of rules that we need to remember when multiplying with negative numbers:

• A negative number divided by a positive number will always equal a negative number, and a positive number divided by a negative number will always equal a negative number.
• A negative number divided by a negative number will always equal a positive number

Thus,

In order to solve this problem, we need to start at on the number line.

Next, we have which means we need to move places to the right on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.

The orange arrow moved places to the right, and ended at ; thus,

In order to solve this problem, we need to start at on the number line.

Next, we have which means we need to move places to the left on the number line. When we have an addition sign we move to the right because that is towards the positive side of the number line. When we have a subtraction sign we move to the left because that is towards the negative side of the number line.

The orange arrow moved places to the left, and ended at ; thus,

The complement to an angle is ninety degrees subtract the angle since two angles must add up to 90. In this case, since we are given the angle in radians, we are subtracting from instead to find the complement. The conversion between radians and degrees is:

Reconvert the fractions to the least common denominator.

Reduce the fraction.

In order to answer this question we first need to know what "sample" means. A sample is a subset of a population.

Because we want a subset, we don't want the entire population, which eliminates the answer choices "Everyone who was at the debate ". Also, the principal wants to know what the student body thought about the topics debated, not the teachers, which eliminates "All of the teachers". Finally, the principal didn't specify if she wanted just the girls' opinions, which makes "A random sample of the students who were at the debate" the best answer choice.