Nokea
One side of a 6-sided die is numbered 4, 9, 12, 16, 20, and 24. What is the probability of rolling an even number?
- A. 5/6
- B. 3/4
- C. 2/3
- D. 1/3
Correct Answer: A
Rationale: To find the probability of rolling an even number, we identify the even numbers on the die, which are 4, 12, 16, 20, and 24 (5 even numbers). Since there are 6 total outcomes on a 6-sided die, the probability of rolling an even number is the number of favorable outcomes (5) divided by the total number of outcomes (6), resulting in a probability of 5/6.
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Ratio and proportion 0.1:10::x:400 =
- A. 25
- B. 5
- C. 50
- D. 4
Correct Answer: D
Rationale: To solve this proportion, we can set it up as 0.1/10 = x/400. Cross multiply to get x = (0.1 * 400)/10 = 4. Therefore, x equals 4, making choice D the correct answer. When solving proportions, it's crucial to maintain the same relationship between the numbers on both sides of the proportion. In this case, the ratio of 0.1 to 10 should be equal to the ratio of x to 400. By cross multiplying and simplifying, we find that x is 4, confirming choice D as the correct answer.
Multiply: (99)(0.56) =
- A. 54.44
- B. 56.44
- C. 55.44
- D. 57.44
Correct Answer: A
Rationale: To multiply decimals, first ignore the decimal points and multiply the numbers as whole numbers. Then, count the total number of decimal places in both factors (2 in this case) and place the decimal point in the product so that it has the same total number of decimal places. Therefore, (99)(0.56) = 5544. After placing the decimal point, the answer is 54.44. Therefore, the correct answer is A: 54.44.
A patient receives a 15% discount for a visit to the healthcare provider. The total charge for the medical services today is $532.00. How much will the patient pay in full today?
- A. $452.20
- B. $79.80
- C. $80.80
- D. $475.97
Correct Answer: A
Rationale: Correct Answer: A ($452.20)
Rationale: To calculate the amount the patient will pay after a 15% discount, you first find 15% of $532.00, which is $79.80. Then, subtract this discount from the total charge: $532.00 - $79.80 = $452.20. Therefore, the patient will pay $452.20 in full today.
Summary:
- Choice B ($79.80) is the amount of the 15% discount, not the total payment.
- Choice C ($80.80) is close to the discount amount but does not consider the subtraction.
- Choice D ($475.97) is incorrect as it does not reflect the correct calculation after the discount.
What is the result of dividing 40.3 by 4.8?
- A. 0.84
- B. 0.084
- C. 8.4
- D. 84
Correct Answer: C
Rationale: To find the result of dividing 40.3 by 4.8, perform the division: 40.3 · 4.8 = 8.39583333... Rounded, this is approximately 8.4. Therefore, the correct answer is 8.4. When dividing decimal numbers, remember to align the decimal points and perform the division as you would with whole numbers. In this case, the correct answer is 8.4.
Ratio and Proportion: 9 : X :: 5 : 300
- A. 540
- B. 600
- C. 450
- D. 500
Correct Answer: A
Rationale: To find the value of X, set up the proportion: 9/X = 5/300. Cross-multiply to get 9 * 300 = 5 * X. Solve for X by dividing 2700 by 5, which equals 540. Therefore, the correct answer is A, which is 540.