Nokea
Based on the information in the table showing healthcare spending per capita in a group of African nations, which country experienced the largest increase in dollars spent per capita from 2013 to 2015?
- A. Eritrea
- B. Sudan
- C. Tanzania
- D. Kenya
Correct Answer: A
Rationale: Eritrea had the largest increase in healthcare spending per capita from 2013 to 2015. By comparing the data in the table, it is evident that Eritrea had the greatest change in dollars spent per capita during the specified period. Sudan, Tanzania, and Kenya did not experience as significant an increase in healthcare spending per capita as Eritrea did, making them incorrect choices.
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Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?
- A. 1/5
- B. 1/3
- C. 1/4
- D. 1/6
Correct Answer: A
Rationale: After one friend eats half of the pizza, the remaining half is divided equally among the three other friends. Each of the three friends receives 1/3 of the remaining half, not 1/6. Therefore, the correct answer is 1/3 of 1/2, which is 1/6 of the total pizza. The incorrect choices are:
B. 1/3 - This is the correct portion of the remaining pizza each friend receives, not 1/3.
C. 1/4 - This is not the accurate portion each friend receives after the first friend eats half of the pizza.
D. 1/6 - This is the portion of the total pizza each friend receives, not the portion each friend receives after the initial half is consumed.
A large pizza has a diameter of 9 inches. Which of the following is the area of the pizza in terms of pi?
- A. 11.25 πin²
- B. 29.57 πin²
- C. 18.35 πin²
- D. 20.25 πin²
Correct Answer: D
Rationale: To find the area of a circle, we use the formula A = πr², where r is the radius of the circle. In this case, the diameter is 9 inches, so the radius is half of the diameter, which is 4.5 inches. Substituting the radius into the formula, we get A = π(4.5)² = 20.25 πin². Therefore, the correct answer is 20.25 πin². Choices A, B, and C are incorrect because they do not correctly calculate the area using the radius of the circle.
When the weights of the 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. Uniform
- B. Bimodal
- C. Bell-shaped
- D. Skewed right
Correct Answer: C
Rationale: The correct answer is C: Bell-shaped. A symmetric distribution with a single peak is characteristic of a bell-shaped distribution, also known as a normal distribution. This distribution forms a symmetrical, bell-like curve when graphed. Choice A, 'Uniform,' would describe a distribution where all values have equal probability. Choice B, 'Bimodal,' would indicate a distribution with two distinct peaks. Choice D, 'Skewed right,' suggests a distribution where the tail on the right side is longer or more pronounced, unlike the symmetrical bell-shaped distribution described in the question.
Which of the following relationships represents no correlation between two variables?
- A. As a student's class attendance decreases, the student's overall grade remains the same
- B. As the number of hours a person exercises decreases, the weight of that person increases
- C. As the number of miles driven increases, the amount of gasoline in the tank decreases
- D. As the amount of water a plant receives increases, the growth rate of the plant increases
Correct Answer: A
Rationale: Choice A represents no correlation between two variables as it states that as a student's class attendance decreases, the student's overall grade remains the same. This scenario shows no relationship between class attendance and grade. In contrast, choices B, C, and D show clear correlations between the variables mentioned. Choice B indicates a negative correlation between exercise hours and weight gain, choice C indicates a negative correlation between miles driven and gasoline in the tank, and choice D indicates a positive correlation between water intake and plant growth rate, making them all examples of correlated relationships.
Which of the following percentages is equivalent to the fraction 3/4?
- A. 57%
- B. 7.50%
- C. 65%
- D. 75%
Correct Answer: D
Rationale: To convert a fraction to a percentage, you multiply the fraction by 100. In this case, 3/4 * 100% = 75%. Therefore, the correct answer is D. Choice A (57%) is incorrect as it does not represent the fraction 3/4. Choice B (7.50%) is incorrect as it is not the equivalent percentage of 3/4. Choice C (65%) is incorrect as it does not match the percentage value of 3/4.