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If a bucket containing 2 4/5 gallons of water is 1/3 full, how many gallons of water are in one fully filled bucket?
- A. 6 4/5
- B. 14/15
- C. 2 7/15
- D. 8 2/5
Correct Answer: D
Rationale: To determine the full capacity of the bucket, we need to find out how much 2 4/5 gallons (1/3 of the bucket) represents. First, convert 2 4/5 to an improper fraction: 2 4/5 = 14/5. Since this amount represents 1/3 of the bucket, we multiply it by 3 to find the full capacity. 14/5 * 3 = 42/5 = 8 2/5. Therefore, one fully filled bucket contains 8 2/5 gallons of water.
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Which term best describes the data set below: 1, 1, 2, 2, 2, 2, 3, 3, 7, 7, 8, 8, 8, 8, 9, 9?
- A. Uniform
- B. Bimodal
- C. Right-skewed
- D. Left-skewed
Correct Answer: B
Rationale: A bimodal distribution is characterized by two peaks or distinct values that occur most frequently in the data set. In this specific data set, the values '2' and '8' appear more frequently than other values, indicating two modes, making it a bimodal distribution. The presence of two prominent peaks or modes distinguishes it from a uniform, right-skewed, or left-skewed distribution. In a uniform distribution, all values have similar frequencies, which is not the case here. Right-skewed and left-skewed distributions have a single peak but differ in the tail direction; however, this data set does not exhibit such characteristics.
A person weighed themselves at 180 lb. Three months later, they weighed themselves at 160 lb. What is the percentage of weight the person lost over 3 months? (Round to the nearest percent)
- A. 11%
- B. 20%
- C. 9%
- D. 13%
Correct Answer: A
Rationale: To calculate the percentage of weight lost, subtract the final weight from the initial weight: 180 lb - 160 lb = 20 lb. Next, divide the weight lost by the initial weight: 20 lb / 180 lb ≈ 0.1111. To express this as a percentage, multiply by 100: 0.1111 * 100 = 11.11%, which rounds to 11% when rounded to the nearest percent. Therefore, the person lost 11% of their weight over the three months, making choice A the correct answer.
Kwame's uncle is seventeen less than three times Kwame's age. Which of the following equations represents Kwame's uncle's age (u) as it relates to Kwame's age (k)?
- A. u = 3k - 17
- B. u = 4k - 17
- C. u = 3k - 18
- D. u = 3k - 11
Correct Answer: A
Rationale: To determine an equation representing Kwame's uncle's age (u) in relation to Kwame's age (k), we need to interpret the given information accurately. The statement 'Kwame's uncle is seventeen less than three times Kwame's age' can be translated as u = 3k - 17. Here, 'u' stands for Kwame's uncle's age, and 'k' stands for Kwame's age. Therefore, the correct equation is u = 3k - 17, making choice A the correct answer.
A temporary gauge reads 95F. Which of the following is the correct conversion to degrees Celsius ( Note: C = 5/9 (F = 32))
- A. 21° C
- B. 113° C
- C. 63° C
- D. 35° C
Correct Answer: D
Rationale: Using the formula C = 5/9(F - 32): 95F - 32 = 63; 63 × 5/9 ? 35C.
A new professional saw 841 clients during the first year of practice and 1072 clients during the second year of practice. Which of the following represents the approximate percentage increase in client volume?
- A. 127%
- B. 27%
- C. 22%
- D. 78%
Correct Answer: B
Rationale: To calculate the percentage increase in client volume, subtract the initial number of clients from the final number, then divide the result by the initial number and multiply by 100. The increase is 1072 - 841 = 231 clients. The percentage increase is calculated as (231 / 841) * 100 ≈ 27%, which corresponds to option B. Therefore, the correct answer is 27%, representing the percentage increase in client volume from the first year to the second year of practice.