Nokea
A die is rolled. What is the probability of getting a 5?
- A. 50%
- B. 20%
- C. 16.60%
- D. 83.30%
Correct Answer: C
Rationale: The probability of rolling a specific number on a fair six-sided die is calculated by taking the total number of favorable outcomes (which is 1 in this case, as there is only one face with a 5) divided by the total possible outcomes (which is 6 for a standard die). Therefore, the probability of rolling a 5 is 1/6, which is approximately 16.6%. To convert the probability to a percentage, you multiply the fraction by 100, giving you 16.6%. Hence, the correct answer is C, 16.60%.
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Change 0.004 to a ratio.
- A. 3:5
- B. 4/1000
- C. 1:250
- D. 2/500
Correct Answer: C
Rationale: To convert 0.004 to a ratio, you first express it as a fraction, which is 4/1000. Simplifying this fraction gives 1/250. Therefore, the correct ratio for 0.004 is 1:250. This ratio represents the relationship between the parts, where for every 1 unit in the first part, there are 250 units in the second part. It's essential to simplify fractions to their lowest terms to express the ratio in its simplest form.
When dividing 1/9 by 2/3, what is the result?
- A. 1/6
- B. 3/18
- C. 1/3
- D. 2/3
Correct Answer: A
Rationale: To divide fractions, you multiply by the reciprocal of the divisor. In this case, 1/9 divided by 2/3 is the same as 1/9 multiplied by 3/2. Multiplying these fractions results in 3/18. To simplify the result, divide both the numerator and denominator by their greatest common divisor, which is 3 in this case. Dividing 3 by 3 results in 1, and dividing 18 by 3 results in 6. Therefore, 3/18 simplifies to 1/6. Thus, the correct answer is choice A, 1/6.
How many meters are in 3 kilometers? (Enter a numeric value only.)
- A. 300
- B. 3000
- C. 30
- D. 3
Correct Answer: B
Rationale: To convert kilometers to meters, remember that 1 kilometer is equivalent to 1,000 meters. Therefore, to determine how many meters are in 3 kilometers, you multiply 3 (kilometers) by 1,000 (meters), resulting in 3,000 meters. The correct answer is 3,000 meters, which corresponds to option B.
Roger's car gets an average of 25 miles per gallon. If his gas tank holds 16 gallons, about how far can he drive on a full tank?
- A. 400 miles
- B. 100 miles
- C. 320 miles
- D. 41 miles
Correct Answer: A
Rationale: To determine the distance Roger can drive on a full tank, you need to multiply the miles per gallon by the tank capacity. Since his car gets 25 miles per gallon and the tank holds 16 gallons, the calculation would be: 25 miles/gallon * 16 gallons = 400 miles. Therefore, Roger can drive approximately 400 miles on a full tank of gas.
Subtract 2 5/8 - 7/8 and reduce
- A. 1 & 5/8
- B. 1 & 1/4
- C. 1 & 6/8
- D. 1 & 3/4
Correct Answer: D
Rationale: To subtract fractions, ensure the denominators are the same, then subtract the numerators. In this case, 2 5/8 - 7/8 = (2 - 1) 5/8 = 1 5/8. Since 5/8 cannot be further simplified, the answer is 1 & 5/8 in mixed number form. However, for the final answer in reduced form, 5/8 can be simplified to 4/8, which is equivalent to 1/2. Therefore, the correct reduced answer is 1 & 3/4, making choice D the correct answer.