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: Step 1: Compare the whole numbers. 0.45 > 0.3 > 0.313 > 0.096 Step 2: Compare the decimal parts if necessary. 0.45 has the largest decimal part, making it the largest number overall. Summary: - A is correct as 0.45 is the largest number. - B, C, and D are incorrect as they are smaller than 0.45, either in whole or decimal parts.

Correct Answer: B

Rationale: The correct answer is B (1.07548) because it has the largest value among the given numbers. To determine this, we compare the numbers using their place values. The number with the largest value is the one with the highest digit in the leftmost place. In this case, 1.07548 has the largest value as it has 1 in the ones place, which is greater than 1 in the tenths place in A and C, and the highest value in the thousandths place compared to D. Choices A, C, and D have smaller values because their leftmost digit is smaller than the corresponding digit in B.

Correct Answer: A

Rationale: The correct answer is A: Positive. A line traveling from bottom-left to upper-right on a graph indicates a positive relationship between the predictor and dependent variable. As the predictor increases, the dependent variable also increases. This is because the slope of the line is positive, showing a direct relationship between the two variables. In contrast, a negative relationship (choice B) would be indicated by a line traveling from top-left to bottom-right, where the dependent variable decreases as the predictor increases. Choices C (Exponential) and D (Logarithmic) refer to specific nonlinear relationships, which are not indicated by a line with a positive slope.