Mathematics

Mathematics Related

Review Mathematics related questions and content

As the number of credit hours a student takes in a semester increases, the amount of tuition, access fees, and the number of student loans available also increase. Which of the following is the independent variable?

  • A. Amount of tuition
  • B. Number of credit hours
  • C. Number of student loans available
  • D. Amount of access fees
Correct Answer: B

Rationale: The independent variable in this scenario is the number of credit hours taken by the student. The independent variable is the one that is manipulated or controlled in an experiment to observe its effect on the dependent variables. In this case, the dependent variables are the amount of tuition, access fees, and the number of student loans available. By changing the number of credit hours, it influences the other variables, making it the independent variable.

You may also like to solve these questions

To determine the cost of a pizza, Polar considers the diameter of the pizza, the number of pizza toppings, and the amount of cheese. Which of the following is the dependent variable?

  • A. Number of toppings
  • B. Amount of cheese
  • C. Diameter of the pizza
  • D. Cost of the pizza
Correct Answer: D

Rationale: In this scenario, the cost of the pizza is the dependent variable. It is not fixed but varies based on the diameter of the pizza, the number of toppings, and the amount of cheese. The cost of the pizza is influenced by these independent variables. As the diameter, toppings, or cheese amount change, the cost changes accordingly. Therefore, the cost of the pizza is the dependent variable, as it depends on the values of the other variables. The diameter of the pizza, number of toppings, and amount of cheese are independent variables because they can be changed without the cost being fixed, showing that they affect the cost and are not dependent on it.

A macaroni and cheese recipe calls for 1/2 cup of flour for every 1 1/2 cups of milk. To make a bigger batch, the chef uses 2 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?

  • A. 3 8/15 cups
  • B. 2 11/15 cups
  • C. 7 1/15 cups
  • D. 6 cups
Correct Answer: A

Rationale: To determine the amount of milk needed for 2 cups of flour, we first establish the ratio of flour to milk in the recipe: 1/2 cup of flour requires 1 1/2 cups of milk. Then, we calculate the amount of milk needed for 2 cups of flour by applying this ratio: 2 cups of flour * (1 1/2 cups of milk / 1/2 cup of flour) = 2 * 3 = 6 cups of milk. Therefore, for the bigger batch using 2 cups of flour, the chef would need 6 cups of milk, which is equivalent to 3 8/15 cups.

What is the median of the following set of data: 11, 12, 18, 14, 22, 17, 17, 12, 26, 12, 13?

  • A. 12
  • B. 14
  • C. 15
  • D. 15.8
Correct Answer: B

Rationale: To find the median of a set of data, first arrange the numbers in ascending order: 11, 12, 12, 12, 13, 14, 17, 17, 18, 22, 26. Since there are 11 numbers in the set, the median will be the middle value. When arranged in ascending order, the middle value is 14, which makes it the median of the data set. Therefore, the correct answer is 14.

In the graph above, which represents the amount of rainfall in a particular state by month, what is the total rainfall for the first 3 months of the year?

  • A. 3 1/2 inches
  • B. 2 inches
  • C. 4 inches
  • D. 1 1/2 inches
Correct Answer: A

Rationale: To calculate the total rainfall for the first 3 months of the year, you need to add the rainfall amounts for January (1 inch), February (1/2 inch), and March (2 inches) together. This sum gives a total of 3 1/2 inches, making choice A the correct answer.

What is the best decimal approximation of 10 times the positive square root of 20?

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

Rationale: To find 10 times the positive square root of 20, first calculate the square root of 20, which is approximately 4.472. Then, multiply this by 10: 10 * 4.472 ≈ 44.7. The best decimal approximation of 10 times the positive square root of 20 is 44.7, which corresponds to Option C.

Copyright © 2025 Nokea. All rights reserved.