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

5/12

¼

½

1/3

*Correct Answer : D*

The probability of an event is determined by the relation

Finding 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=5+4+3=12 balls

The probability of drawing a red ball from the bag is 1/3.

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We need to find the price changes in each day of the week in order to find the price of the stock on Thursday.

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Tuesday’s price went up by $2.35 from Monday’s price. The price was $(50.33+2.35)=$52.68

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Therefore, the price of the stock on Thursday was $52.36.

### Correct Answer is D

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### Correct Answer is D

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The slope represent the ratio between the vertical height to the horizontal length. Let x be the minimum length of the ramp, we can set a proportion with height on the numerator and length on denominator. Then,

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### Correct Answer is C

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An independent variable is a variable that is manipulated or changed in the experiment. From the given equation, t is an independent variable, which when changed changes the values of the f(t).

### Correct Answer is A

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To find the cost-effective option, we need to find how much the consumer will spend for the given options:

2 packs of Orange and 1 pack of Cream Soda will cost $18+$5= $23

3 Packs of Orange will cost $18+$10=$28

2 packs of Root Beer and 1 pack of Cream Soda will cost 2($12)+$5=$29

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From the above evaluation, the consumer will spend $23 for a cost effective package of soft drinks. Thus, 2 packs of Orange and 1 pack of Cream Soda will be cheaper to purchase compared to other options.

### Correct Answer is B

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We use the calculator to determine the positive square root of 20, which is then multiplied by 20.

Using the calculator,

Multiplying the square root above with 10 becomes

The approximate value is 44.7.

### Correct Answer is B

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We need to find the value of x from the given equation. First, we move the value of 10 to the right-hand side of the equation.

Add 10 to both sides of the equation

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

In this case a=12, which is greater 0. Then, the first condition becomes

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### Correct Answer is D

#### Explanation

The probability of an event is determined by the relation

Finding 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=5+4+3=12 balls

The probability of drawing a red ball from the bag is 1/3.

### Correct Answer is A

#### Explanation

To find the greatest number from the given options, we first convert the decimal numbers into fractions.

-0.7 becomes 7/10

-1.3 becomes 13/10

Then, we find the LCM for the denominators of the given fractions. The LCM of 3 and 10 is 30. Now we can multiply each fraction with the LCM.

-2/3*30=-20

-7/10*30=-70

-13/10*30=-39

-4/3*30=-40

Comparing the obtained values from above, -20 is the greatest followed by -39, -40, -70 in that order. The fraction -2/3 gave a value of -20, which was the greatest value. Thus, -2/3 is the greatest value from the given option.

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