TEAS Test Math Prep

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: B

Rationale: To find the ratio of faculty to students, add the number of teachers and teaching assistants (15+20 = 35). Then, divide the total faculty by the number of students (35:200). Simplify the ratio to its simplest form, which is 4:17. This is the correct answer because it represents the relationship between the faculty and students accurately. Incorrect choices: A: 3:20 - Incorrect because it doesn't accurately represent the ratio of faculty to students. C: 3:02 - Incorrect because the ratio must be in terms of whole numbers. D: 7:40 - Incorrect as it doesn't reflect the actual ratio between faculty and students.

Correct Answer: A

Rationale: To simplify the expression 5/9 * 15/36, we first multiply the numerators (5 * 15 = 75) and the denominators (9 * 36 = 324) separately. This gives us 75/324. To simplify further, we find the greatest common divisor of 75 and 324, which is 3. Dividing both the numerator and denominator by 3, we get 25/108. Finally, this can be reduced to 5/36 by dividing both the numerator and denominator by 5. Therefore, the correct answer is A: 5/36. Choices B, C, and D are incorrect because they do not result from the correct simplification steps outlined above.

Correct Answer: D

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: The correct answer is A: 2 x 4 x 4 x 2. To find the value of 6 x 12, we can break it down into simpler multiplication. 6 x 12 = 6 x (4 x 3) = (2 x 3) x (4 x 3) = 2 x 4 x 4 x 2. This shows that the value of 6 x 12 is indeed equal to 2 x 4 x 4 x 2. Explanation for why other choices are incorrect: B: 7 x 4 x 3 does not equal 6 x 12. C: 6 x 6 x 3 equals 108, not 72 (6 x 12). D: 3 x 3 x 4 x 2 equals 72, but the order of multiplication is not the same as in 6 x 12, making it incorrect.