Mathematics

Mathematics Related

Review Mathematics related questions and content

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.

You may also like to solve these questions

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.

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 baker is using a cookie recipe that calls for 2 1/4 cups of flour to yield 36 cookies. How much flour will the baker need to make 90 cookies using the same recipe?

  • A. 6 1/4 cups
  • B. 4 3/4 cups
  • C. 5 5/8 cups
  • D. 10 1/8 cups
Correct Answer: C

Rationale: To determine how much flour is needed for 90 cookies using the same recipe, start by calculating the amount of flour required per cookie in the original recipe. The original recipe uses 2 1/4 cups of flour for 36 cookies. To find the amount per cookie, divide the total flour by the number of cookies: 2 1/4 / 36 = 1/16 cup per cookie. Next, multiply the amount per cookie by the new number of cookies: 1/16 * 90 = 5 5/8 cups. Therefore, the baker will need 5 5/8 cups of flour to make 90 cookies following the same recipe.

What is the mean of the test scores listed below? 100, 78, 47, 84, 93, 78

  • A. 80
  • B. 78
  • C. 81
  • D. 96
Correct Answer: A

Rationale: To find the mean of a set of numbers, you need to sum all the numbers together and then divide by the total count of numbers. In this case, the sum of the test scores is 100 + 78 + 47 + 84 + 93 + 78 = 480. Since there are 6 test scores in total, you divide the sum by 6 to get the mean. Therefore, the mean = 480 · 6 = 80. Hence, the correct answer is A, which is 80. It represents the average test score among the provided values.

A bag contains five green balls, four red balls, and three yellow balls. If one ball is randomly selected from the bag, what is the probability that the ball is red?

  • A. 4/12
  • B. 5/12
  • C. 1/4
  • D. 1/2
Correct Answer: A

Rationale: To find the probability of selecting a red ball, we calculate the total number of balls in the bag, which is 5 (green) + 4 (red) + 3 (yellow) = 12 balls. The probability is the number of favorable outcomes (4 red balls) divided by the total number of outcomes (12 balls), giving us 4/12 or 1/3. Therefore, the correct answer is A, representing a probability of 1/3 for selecting a red ball from the bag.

Copyright © 2025 Nokea. All rights reserved.