Nursing Elites

1. Solve the proportion (find the value of x): 9:14 = x:56.

• A. x = 14
• B. x = 25
• C. x = 36
• D. x = 42

Correct answer: C

Rationale: To solve the proportion 9:14 = x:56, you can cross multiply to get 9 * 56 = 14 * x. This simplifies to 504 = 14x. Dividing by 14 on both sides gives x = 36. Therefore, the value of x in the proportion is 36. Choice A, x = 14, is incorrect as it does not satisfy the proportion equation. Choice B, x = 25, is incorrect as it is not the value that makes the proportion true. Choice D, x = 42, is incorrect as it does not correctly satisfy the proportion equation.

2. Ratio and proportion 1.2:x=14:42.

• A. 2
• B. 0
• C. 1
• D. 3

Correct answer: D

Rationale: Cross-multiply to solve for 𝑥 x: 1.2 × 42 = 14 𝑥 1.2×42=14x 50.4 = 14 𝑥 50.4=14x 𝑥 = 50.4 14 = 3.6 x= 14 50.4 ​ =3.6

3. A set of temperature readings has a range of 5 degrees Celsius. What does this tell you about the data?

• A. The average temperature is 5 degrees Celsius.
• B. All temperatures are within 5 degrees of each other.
• C. The difference between the highest and lowest temperatures is 5 degrees.
• D. There are exactly 5 temperatures in the set.

Correct answer: C

Rationale: Option A is incorrect because the range of 5 degrees does not necessarily mean that the average temperature is 5 degrees Celsius. The average temperature could be any value within the range. Option B is incorrect because the range of 5 degrees does not mean that all temperatures are within 5 degrees of each other. It only indicates the difference between the highest and lowest temperatures. Option C is correct because the range of 5 degrees specifically refers to the difference between the highest and lowest temperatures in the set. This is a common definition of range in statistics. Option D is incorrect because the range of 5 degrees does not determine the number of temperatures in the set. The set could have more or fewer than 5 temperatures.

4. How many pounds are in 48 ounces?

• A. 3 lbs
• B. 6 lbs
• C. 4 lbs
• D. 8 lbs

Correct answer: A

Rationale: To convert ounces to pounds, you need to know that there are 16 ounces in a pound. Therefore, to find out how many pounds are in 48 ounces, you divide 48 by 16: 48 ÷ 16 = 3 pounds. This means that 48 ounces is equivalent to 3 pounds. Choice B, 6 lbs, is incorrect as it doesn't correctly convert 48 ounces to pounds. Choice C, 4 lbs, is incorrect as it doesn't take into account the conversion factor of 16 ounces per pound. Choice D, 8 lbs, is also incorrect as it doesn't reflect the accurate conversion of ounces to pounds.

5. What is the result of dividing 40.3 by 4.8?

• A. 7.5
• B. 8.4
• C. 6.2
• D. 9.1

Correct answer: B

Rationale: To divide 40.3 by 4.8, you perform the calculation: 40.3 ÷ 4.8 ≈ 8.4. Therefore, the correct answer is 8.4. Choice A (7.5) is incorrect as it is the result of dividing 40.3 by 5.4. Choice C (6.2) is incorrect as it is the result of dividing 40.3 by 6.5. Choice D (9.1) is incorrect as it is the result of dividing 40.3 by 4.4.

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