TEAS Test Math Prep

Correct Answer: A

Rationale: To find the percentage of patients hospitalized, we multiply the percentage who developed an infection by the percentage requiring hospitalization: 30% (infection rate) * 5% (hospitalization rate) = 1.5%. Therefore, the correct answer is A: 1.50%. Choices B, C, and D are incorrect because they do not accurately calculate the percentage of patients hospitalized based on the given data.

Correct Answer: A

Rationale: The correct answer is A. When the sampling distribution of means is plotted, it follows the central limit theorem, which states that for a large enough sample size, the distribution of sample means will be approximately normally distributed regardless of the shape of the population distribution. This is because as sample size increases, the distribution becomes more normal due to the law of large numbers. Choice B is incorrect because the sampling distribution of means is not positively skewed. Choice C is incorrect because it is not negatively skewed. Choice D is incorrect as there is a predictable shape to the distribution, which is approximately normal due to the central limit theorem.

Correct Answer: A

Rationale: To solve the equation 3(x - 5) = 2(x + 3) for x: 1. Distribute: 3x - 15 = 2x + 6 2. Combine like terms: 3x - 2x = 6 + 15 3. Simplify: x = 21 Thus, x = 21. Therefore, the correct answer is A. Choices B, C, and D are incorrect as they do not satisfy the equation.

Correct Answer: B

Rationale: To calculate the percentage increase, we subtract the original value from the new value (60 - 40 = 20), then divide this difference by the original value (20 / 40 = 0.5). Finally, multiply this result by 100 to get the percentage increase, which is 50%. Choice B is correct as it accurately represents the percentage increase from 40 to 60. Choices A, C, and D are incorrect because they do not provide the correct percentage increase calculation based on the given values.

Correct Answer: C

Rationale: The correct answer is C. In John's Gym, the monthly fee is $40 times the number of months (y = 40x), while in Ralph's Recreation Room, the monthly fee is $45 times the number of months (y = 45x). Since $40 is less than $45, it can be concluded that John's monthly membership fee is less than Ralph's monthly membership fee. Therefore, choice C is correct. Choice A is incorrect because John's fee is not equal to Ralph's fee. Choice B is incorrect because John's fee is actually less than Ralph's fee. Choice D is incorrect because a relationship can be determined based on the given information.