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
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.
More Questions on TEAS 7 Math
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Q #1: Which of the following is the appropriate unit of a measure to express the weight of a sheet of paper?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
We required to find the units of finding the weight of a sheet of paper. The SI unit of mass of an object is kilogram. However, kilogram is a large quantity that cannot be used to measure smaller objects.
Thus, derived units of mass are used to find the mass of other objects. In this case, the mass of a sheet paper can be recorded in grams.
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Q #2: Which of the following is the best estimate of the number of centimeters (cm) in 4 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 370 cm
B. 290 cm
C. 365 cm
D. 350 cm
Answer Explanation
we set the conversion equation to find the unknown unit. Arrange the equation such that the unwanted units cancel out and the wanted unit remains.
The value 365.76 cm is close to 365 cm. Therefore, 4 yards is approximately 365 cm.
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Q #3: Soft Drinks Shop Orange: Two 24-packs for $15; one 24-pack for $9 Root Beer: One 24-pack for $14 Cream Soda: One 12-pack for $5 A consumer needs to purchase at least 60 soft drinks for a picnic. Which of the following combinations is the most cost-effective?
A. 2 pack of Orange and 2 packs of Cream Soda
B. 3 packs of Root Beer
C. 1 pack of orange, 2 packs of Root Beer and 1 pack of Cream Soda
D. 4 packs of cream Soda
Answer Explanation
Choice A: 2 packs of Orange and 2 packs of Cream Soda
- Total drinks: 48 + 24 = 72 drinks
- Total cost: (2 * $15) + (2 * $5) = $30 + $10 = $40
- This choice not only meets the requirement of at least 60 drinks but also offers the best value in terms of cost per drink, making it the most cost-effective option.
Choice B: 3 packs of Root Beer
- Total drinks: 3 * 24 = 72 drinks
- Total cost: 3 * $14 = $42
- While this choice meets the requirement of at least 60 drinks, it's not the most cost-effective, as it costs $42 for 72 drinks.
Choice C: 1 pack of Orange, 2 packs of Root Beer, and 1 pack of Cream Soda
- Total drinks: 24 + 48 + 12 = 84 drinks
- Total cost: $9 + (2 * $14) + $5 = $9 + $28 + $5 = $42
- This choice provides more than 60 drinks, but it's not the most cost-effective due to its higher cost of $42, same as choice B.
Choice D: 4 packs of Cream Soda
- Total drinks: 4 * 12 = 48 drinks
- Total cost: 4 * $5 = $20
- While this choice is the most cost effective, it falls short of providing the desired number of drinks.
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Q #4: 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.
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Q #5: Which of the following is the mean of the test scores listed below? 99, 93, 67, 48, 92, 87
A. 67
B. 48
C. 99
D. 81
Answer Explanation
the mean of a data set is the sum of the scores divided by the number of tests.
Total test scores =99+93+67+ 48+ 92+ 87=486
Number of tests =6
Mean test score =486/6=81
The mean test score is 81.
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Q #6: Which of the following is the length of the unknown leg of a right triangle that has one leg length of 10 feet and a hypotenuse of 14 feet? (Round to the nearest tenth.)
A. 6 feet
B. 15.6 feet
C. 9.8 feet
D. 20 feet
Answer Explanation
The sides of a right-angled triangle are determined by the Pythagoras theorem. If we let the unknown side to x as in the figure below, then theory is applied as follows.
The value of x is found as:
The value of the unknown leg side of a triangle is about 9.8 feet.
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Q #7: 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=-aFrom 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
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Q #8: A pharmaceutical company’s stock price was $45.32 on Monday. On Tuesday, the price went up $3.25. On Wednesday, the price decreased from Tuesday’s price by $1.73. On Thursday, the price went up $0.89 from Wednesday’s price. Which of the following was the final price on Thursday?
A. $46.84
B. $47.73
C. $45.23
D. $48.57
Answer Explanation
we need to find the price of the stock on Thursday.
First, find the price changes in each day of the week as follows:
Monday’s price was $45.32
Tuesday’s price went up by $3.25 from Monday’s price. The price was $(45.32+3.25)=$48.57
Wednesday’s price decreased by $1.73 from Tuesday’s price, and so the price of the stock was $(48.57-1.73)=$46.84
Thursday’s price increased by $0.89 from Wednesday’s price, which was $(46.84+0.89)=$47.73
Therefore, the stock price on Thursday was $47.73.
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Q #9: A recipe calls for 3.4 teaspoons of milk. 1 teaspoon equals approximately 5 mL. Which of the following is the correct amount of milk in mL?
A. 16.8 mL
B. 17.0 mL
C. 10.5 mL
D. 6.8 mL
Answer Explanation
we are asked to find the amount of milk in mL using the given information.
If we let x represent the amount of milk in mL, we set up a proportion with number of teaspoons on the numerator and amount in mL in the denominator.
A recipe of 3.4 teaspoons is equal to 17.0 mL.
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Q #10: The length of a rectangular room is 2 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = 2x
B. A = 2x+2(x+2)
C. A = x+(x+2)
D. A = x(x+2)
Answer Explanation
we are asked to find the area of a rectangle, which can only be found by finding the relation between length and width. Now, letting x represent the width, then
Length of rectangle=(x+2)
Width of the rectangle= x
Area of the rectangle, A= Length*width=(x+2)*x
A=x(x+2)
Therefore, the area of the rectangle becomes x(x+2).
