Mathematics

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Review Mathematics related questions and content

In a study of the average weight of babies at different time intervals of birth, the babies' measured weight is which of the following types of variable?

  • A. Independent
  • B. Constant
  • C. Dependent
  • D. Control
Correct Answer: C

Rationale: The correct answer is C: Dependent. The babies' measured weight in this study would be considered a dependent variable. In research, a dependent variable is the outcome that is being measured and studied based on changes in other factors, known as independent variables. In this context, the babies' weight is the variable that is dependent on the time intervals of birth, making it the dependent variable in the study. Therefore, the measured weight of the babies is influenced by the time intervals of birth, indicating a dependency relationship between the variables.

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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.

One gallon of cleaning solution requires 6 oz of ammonia. If the maintenance department needs 120 gallons of solution to clean all the floors, how much ammonia is needed?

  • A. 20 oz
  • B. 20 gallons
  • C. 720 oz
  • D. 720 gallons
Correct Answer: C

Rationale: To calculate the total amount of ammonia needed, you must multiply the amount of ammonia required for one gallon of solution by the total number of gallons needed. With 6 oz of ammonia per gallon, multiplying 6 oz by 120 gallons gives you a total of 720 oz of ammonia needed. Therefore, 720 oz of ammonia are required to clean all the floors.

What is the value of x in the equation below? 18x - 4 = -10

  • A. x = -2 or x = 1
  • B. x = -1/3 or x = 2
  • C. x = -1/2 or x = 3/2
  • D. x = -3/2 or x = 1/2
Correct Answer: B

Rationale: To solve the equation 18x - 4 = -10, first, add 4 to both sides to get 18x = -6. Then, divide by 18 to isolate x, which gives x = -1/3. Therefore, the correct answer is x = -1/3 or x = 2. It's crucial to double-check the solutions in relation to the original equation to ensure accuracy. The error in the original solution is the incorrect value provided for x = -1 which should have been x = -1/3 instead. Hence, the correct solution is x = -1/3 or x = 2.

A bucket can hold 3L. How many milliliters can the bucket hold?

  • A. 300ml
  • B. 3000ml
  • C. 0.003ml
  • D. 30ml
Correct Answer: B

Rationale: To convert liters to milliliters, you need to multiply by 1000 since 1 liter is equal to 1000 milliliters. Therefore, to determine how many milliliters a 3-liter bucket can hold, you multiply 3 by 1000, resulting in 3000ml. Hence, a bucket that can hold 3L is capable of holding 3000ml.

Which of the following is the range of the test scores given below? 52, 68, 41, 97, 65, 81, 72, 52, 85, 98, 85

  • A. 33
  • B. 52
  • C. 57
  • D. 72
Correct Answer: C

Rationale: The range is calculated by subtracting the lowest score from the highest score. The highest score is 98, and the lowest score is 41. Thus, the range is 98 - 41 = 57.

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