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 multiplied by a positive number will always equal a negative number
• A negative number multiplied 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 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,

A square has four sides of equal length, as seen in the diagram below.

The volume of the solid is equal to the product of its length, width, and height, as follows:

.

In order to answer this question, we can solve for . When solving for we need to isolate the variable on one side of the equation.

We can subtract to both sides in order to isolate the variable, .

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 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,

When solving this problem remember our orders of operation, or PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication/division, and addition/subtraction. When you have a problem with several different operations, you need to solve the problem in this order and you work from left to right for multiplication/division and addition/subtraction.

Evaluate the quantities inside the parentheses first.

The probability (p) is equal to the number of a specific event (purple marbles) divided by the total number of events. The probability of NOT p (called q) is equal to In this example:

We can use data from a random sample to make inferences about a population. In this case, our population is all of the visitors of the zoo on Friday, and the random sample is the visitors that were randomly selected by the owner and asked which exhibit was their favorite.

Based on our answer choices, we are making an inference about which two animal exhibits are the most popular. The pandas received the most votes out of the owner's pole, followed by the gorillas; thus, we can infer—based on these results—that the Panda Exhibit and the Gorilla Exhibit are the two most popular exhibits at the zoo.

To find the probability of an event, we will use the following formula:

Now, given the event of rolling a factor of 5, we can calculate the following.

because there are 2 factors of 5 on a dice:

• 1
• 5

We can also calculate the following.

because there are 6 different possible numbers we can roll on a dice:

• 1
• 2
• 3
• 4
• 5
• 6

Knowing this, we can substitute into the formula. We get

Therefore, the probability of rolling a factor of 5 on a dice is .