A bag contains six green balls, three red balls, and five yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is red?

A. ½

B. 5/14

C. 3/7

D. 3/14

Answer Explanation:

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

To find the probability of drawing the red ball, we need to find the total number of balls in the bag.

Total number of balls in the bag=6+3+5=14 balls

The probability of drawing a red ball from the bag is 3/14.

Therefore, the Correct Answer is D.

Q #1: To determine the cost of a phone, the seller considers the brand name, size of the RAM, and size of the battery. Which of the following is the dependent variable?

A. Cost of a phone

B. Brand name

C. Size of the RAM

D. Size of the battery

Answer Explanation

A dependent variable is one that changes when another variable changes. In this case, the cost of the phone will change depending on the change in brand name, size of the RAM, and size of the battery. Thus, cost of a phone is a dependent variable.
Q #2: Which of the following is the value of x in the equation below

A. x= -3 or x=4

B. x= -1 or x=2

C. x =-2 or x= 4

D. x= -3 or x= 5

Answer Explanation

We are tasked to find the unknown values of x in the given equation.

First, we add 8 to both sides of the equation.

Next, we apply the absolute rule:

If , a>0, then u=a or u=-a

From our resulting equation, a=14, which is greater 0. Then, the first condition (u=a) becomes

Solving for x

The second condition (u= -a) becomes

Solving for x

Thus, the value of x is 4 or -3
Q #3: Which of the following is an appropriate unit of measure to express the length of a width of a window?

A. Hectometers

B. Kilometers

C. Centimeter

D. Liters

Answer Explanation

The SI units of measuring length is meter. However, a meter can be a large unit or small quantity depending what is being measured. Therefore, derived units of meters are used to measure the length of an object. In our case, centimeters is the appropriate unit to measure the width of the window.