Nokea
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 did each of the other three friends receive?
- A. 1/6
- B. 1/4
- C. 1/3
- D. 1/6
Correct Answer: D
Rationale: After one friend eats half of the pizza, half of the pizza remains to be divided among the other three friends. Dividing this remaining half equally among three friends means each friend receives 1/6 of the pizza (1/2 · 3 = 1/6). Therefore, each of the other three friends receives 1/6 of the pizza.
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Which of the following statements demonstrates a negative correlation between two variables?
- A. Cars that are older tend to have higher mileage
- B. Tennis balls that are older tend to have less bounce
- C. Shorter people tend to weigh less than taller people
- D. People who play baseball more tend to have more hits
Correct Answer: B
Rationale: A negative correlation exists when one variable increases as the other variable decreases. In the statement 'Tennis balls that are older tend to have less bounce,' as the age of the tennis balls increases, the bounce decreases, establishing a negative correlation. This demonstrates an inverse relationship where increased age is associated with reduced bounce. Hence, choice B showcases a negative correlation between the variables, making it the correct answer.
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.
2.50 × 0.25 Simplify the expression above. Which of the following is correct?
- A. 6.25
- B. 0.0625
- C. 6.025
- D. 0.625
Correct Answer: D
Rationale: Multiplying 2.50 by 0.25 gives 0.625.
(x/y) - z = nw. Solve for x in the equation above.
- A. x = y(nw + z)
- B. x = y(2 + rw)
- C. x = yw + yz
- D. x = y(nw - z)
Correct Answer: A
Rationale: To solve for x, first add z to both sides: (x/y) = nw + z. Then multiply both sides by y to isolate x: x = y(nw + z).
What is the decimal form of 87.5%?
- A. 0.875
- B. 875
- C. 8.75
- D. 8,750
Correct Answer: A
Rationale: To convert a percentage to a decimal, you move the decimal point two places to the left. In this case, to convert 87.5% to a decimal, you move the decimal point two places to the left, resulting in 0.875. Therefore, the correct answer is A, 0.875, as it represents 87.5% in decimal form. Remember that the decimal form of a percentage is always less than 1, which is why choices B, C, and D are incorrect as they do not follow this conversion rule.