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Based on the table showing healthcare spending per capita in a group of African nations, which country experienced the greatest change in dollars spent per capita from 2013 to 2015?
- A. Eritrea 2013 ($56), 2015 ($42)
- B. Nigeria 2013 ($16), 2015 ($21)
- C. Tanzania 2013 ($68), 2015 ($8)
- D. Kenya 2013 ($81), 2015 ($88)
Correct Answer: C
Rationale: To determine the country with the most significant change in healthcare spending per capita, we calculate the difference between the spending in 2015 and 2013 for each country. In the case of Tanzania, the expenditure decreased from $68 in 2013 to $8 in 2015, indicating the largest drop in dollars spent per capita among the options provided. Therefore, the correct answer is C, Tanzania.
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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.
The length of a person's shadow is proportional to their height. If a person's shadow is 120 cm long and their height is 180 cm, how long is the shadow of a person who is 135 cm tall at the same time of day?
- A. 202.5 cm
- B. 75 cm
- C. 160 cm
- D. 90 cm
Correct Answer: D
Rationale: To find the shadow length of a 135 cm tall person, set up the proportion: 120 cm / 180 cm = x / 135 cm. Cross multiply to get 180x = 120 * 135, then solve for x by dividing both sides by 180. Therefore, x = 120 * 135 / 180 = 90 cm. Hence, the shadow length of a 135 cm tall person at the same time of day would be 90 cm.
A recipe calls for 2 1/2 cups of flour to yield 36 cookies. How much flour will be needed to make 90 cookies using the same recipe?
- A. 6 1/2 cups
- B. 10 1/2 cups
- C. 5 1/2 cups
- D. 4 1/2 cups
Correct Answer: A
Rationale: To determine the amount of flour needed for 90 cookies using the same recipe, set up a proportion: (90 cookies / 36 cookies) * 2.5 cups = 6.25 cups, which simplifies to 6 1/2 cups of flour. Therefore, to make 90 cookies, you will need 6 1/2 cups of flour, based on the original recipe's ratio of flour to cookies.
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.
Which of the following expressions has the greatest value?
- A. 34 + 96
- B. 0.372
- C. 03-Aug
- D. 37%
Correct Answer: A
Rationale: To determine the greatest value among the given expressions, we need to evaluate each one. When we calculate 34 + 96, the result is 130. Option B is a decimal less than 1, option C is in date format, and option D is a percentage. Comparing the values obtained, 130 (option A) is greater than 0.372, 03-Aug, and 37%. Therefore, the correct answer is A since it has the greatest value, which is 130.