TEAS Test Math Prep

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.

Correct Answer: A

Rationale: To calculate relative error, we use the formula: (|Measured Value - True Value| / True Value) * 100%. In this case, the measured width is 36 inches and the true width is 75 inches. So, the relative error = (|36 - 75| / 75) * 100% = (39 / 75) * 100% = 52%. Therefore, the correct answer is A: 0.52%. Choice B (0.01%), C (0.99%), and D (0.10%) are incorrect as they do not correspond to the calculated relative error of 52% in this scenario.

Correct Answer: B

Rationale: To round 2678 to the nearest thousandth, we look at the digit in the thousandth place, which is 6. Since the next digit is 7, we round 6 up to 7. The thousandth place is used to decide whether to round up or down in this case. Choices A, C, and D are incorrect as they refer to other place values that are not relevant when rounding to the nearest thousandth.

Correct Answer: C

Rationale: The correct answer is C (40%). To calculate the percentage of total sales from CDs, you need to divide the number of CD sales by the total sales of all formats (CDs + vinyl + MP3). In this case, let's say CD sales were 400 units, vinyl sales were 300 units, and MP3 sales were 300 units, making the total sales 1000 units. To find the percentage of CD sales, divide 400 by 1000 and multiply by 100, yielding 40%. Choice A (55%) is incorrect as it overestimates CD sales. Choice B (25%) and Choice D (5%) are incorrect as they underestimate CD sales.

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.