Mathematics

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In a local community college, there are 800 students enrolled in four allied programs as illustrated in the pie chart. What is the number of students enrolled in the respiratory care program?

  • A. 336
  • B. 168
  • C. 152
  • D. 144
Correct Answer: C

Rationale: To find the number of students in the respiratory care program, you need to calculate 19% of 800, which represents the proportion of students in this program. To do this, multiply 0.19 by 800 to get 152. Therefore, there are 152 students enrolled in the respiratory care program. The pie chart visually represents the distribution of students among the programs, with the respiratory care program accounting for 19% of the total student population.

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Simplify the expression (2(3 + 5 - 3)) / (12 + 2). Which of the following is correct?

  • A. 6
  • B. 8
  • C. 12
  • D. 1
Correct Answer: B

Rationale: To simplify the expression, follow the order of operations (PEMDAS/BODMAS). First, solve the subtraction inside the parentheses: 5 - 3 = 2. Then, simplify the expression to get (2(3 + 2)) / 14 = (2(5)) / 14 = 10 / 14 = 5 / 7 ≈ 0.71. Since 8 is the closest whole number to 0.71, the correct answer is B, 8.

What is the appropriate unit of measure to express the weight of a spoon?

  • A. Gram
  • B. Liter
  • C. Kilogram
  • D. Milliliter
Correct Answer: A

Rationale: The appropriate unit of measure to express the weight of a spoon is the gram. The gram is a metric unit used for measuring mass or weight, making it suitable for small objects like spoons. Liters and milliliters are units used for measuring volume, while a kilogram is a larger unit of weight, not typically used for measuring the weight of small objects such as spoons.

When the weights of newborn babies are graphed, the distribution of weights is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?

  • A. Skewed right
  • B. Bimodal
  • C. Uniform
  • D. Bell-shaped
Correct Answer: D

Rationale: The described distribution, where the majority of weights are centered around a single peak and symmetric, is referred to as bell-shaped. In a bell-shaped distribution, the data is symmetric around the mean, with most values clustering near the peak and tapering off towards the extremes. This pattern is commonly seen in normal distributions, such as the distribution of birth weights in newborns. The bell-shaped curve represents a typical symmetric distribution, indicating that most newborn weights fall close to the average weight with fewer extreme values. Therefore, the correct answer is 'Bell-shaped'.

What is the best decimal approximation of 10 times the positive square root of 207?

  • A. 100
  • B. 44.7
  • C. 200
  • D. 89.4
Correct Answer: D

Rationale: To find the decimal approximation of 10 times the positive square root of 207, we first approximate the square root of 207 to be around 14.4. Multiplying this by 10 gives us 144. Among the choices, 89.4 is the closest value to this approximation, making it the correct answer. Therefore, the best decimal approximation of 10 times the positive square root of 207 is 89.4.

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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