Practice Math TEAS TEST

Correct Answer: C

Rationale: To determine the force needed to stretch the coil by 0.1 meters, we use the formula F = kx, where F is the force, k is the constant of proportionality, and x is the stretch distance. First, calculate k by dividing the given force by the stretch distance: k = 132 N / 0.07 m = 1885.7 N/m. Then, plug in the values: F = 1885.7 N/m * 0.1 m = 188.6 N. Therefore, the correct answer is C (188.6 Newtons). Choice A (92.4 N) is incorrect because it does not consider the direct proportionality between force and stretch. Choice B (1885.7 N) incorrectly assumes the force remains constant regardless of the stretch distance. Choice D (136.0 N) is not rounded to the nearest tenth as requested.

Correct Answer: C

Rationale: The data set has two distinct peaks at values 2 and 8, making it bimodal. This is evident as there are two modes in the data set. The frequencies of 2 and 8 are higher compared to the other values, creating the bimodal distribution. Choices A, B, and D are incorrect. A uniform distribution would have equal frequencies for all values, which is not the case here. Right-skewed distribution would have a long tail on the right side, which is also not observed. Left-skewed distribution would have a long tail on the left side, which is not the case here.

Correct Answer: A

Rationale: The correct answer is A because in a proper fraction, the numerator (top number) is less than the denominator (bottom number). This indicates a fraction that is less than 1. In an improper fraction, the numerator is greater than the denominator, representing a fraction that is equal to or greater than 1. Choice B is incorrect because it reverses the definitions of proper and improper fractions. Choice C is incorrect because it suggests that a fraction is proper if the numerator is equal to the denominator, which is incorrect. Choice D is incorrect because it defines an improper fraction as having a numerator equal to the denominator, which is not the case.

Correct Answer: A

Rationale: Failed to generate a rationale after 5 retries.

Correct Answer: A

Rationale: To find the length of the unknown leg, we can use the Pythagorean theorem: a^2 + b^2 = c^2, where a and b are the legs and c is the hypotenuse of a right triangle. Given a = 9 feet and c = 19 feet, we can solve for b: 9^2 + b^2 = 19^2 81 + b^2 = 361 b^2 = 280 b ≈ √280 ≈ 16.7 feet Therefore, the correct answer is A (16.7 feet). Choice B (16.0 feet) is incorrect as it does not account for rounding to the nearest tenth. Choice C (17.4 feet) and choice D (8.4 feet) are incorrect as they do not match the calculated value.