Nokea
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.
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(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).
A child has a bottle full of pennies, nickels, dimes, and quarters. There are twice as many quarters as pennies, four times as many nickels as pennies, and five times as many dimes as nickels. How many more dimes does the child have than quarters?
- A. 18 times as many
- B. 5 times as many
- C. 20 times as many
- D. 10 times as many
Correct Answer: A
Rationale: Let p be the number of pennies. Quarters = 2p, Nickels = 4p, Dimes = 5 * 4p = 20p. So, Dimes - Quarters = 20p - 2p = 18p. The child has 18 times more dimes than quarters.
Which of the following relationships represents a positive correlation between two variables?
- A. As the amount of water a plant receives increases,
- B. As the number of hours a person exercises decrease
- C. As a student class attendance decreases, the stude
- D. As the number of mile driven increases, the amount
Correct Answer: A
Rationale: A positive correlation means both variables increase together. As the amount of water a plant receives increases, the plant's health typically improves.
A board is 12.3 m long. Which of the following is the length of the board in centimeters?
- A. 1230 cm
- B. 0.123 cm
- C. 12300 cm
- D. 12.3 cm
Correct Answer: A
Rationale: To convert meters to centimeters, multiply by 100. Thus, 12.3 m × 100 = 1230 cm.
As the number of hours an employee works increases, the amount of taxes withheld, the amount of retirement savings withheld, and the number of sick leave hours granted increase. Which of the following is the independent variable?
- A. Number of hours worked
- B. Number of sick leave hours granted
- C. Amount of retirement savings withheld
- D. Amount of taxes withheld
Correct Answer: A
Rationale: The independent variable is the one that is changed or controlled in a scientific experiment. In this scenario, the number of hours worked is being manipulated, leading to variations in taxes withheld, retirement savings withheld, and sick leave hours granted. Therefore, the number of hours worked is the independent variable in this context. It drives the changes observed in taxes withheld, retirement savings withheld, and sick leave hours granted.