you measure the width of your door to be 36 inches the true width of the door is 75 inches what is the relative error in your measurement
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ATI TEAS 7

TEAS Test Math Prep

1. You measure the width of your door to be 36 inches. The true width of the door is 75 inches. What is the relative error in your measurement?

Correct answer: A

Rationale: The relative error is calculated using the formula: (|Measured Value - True Value| / True Value) * 100%. Substituting the values given, we have (|36 - 75| / 75) * 100% = (39 / 75) * 100% ≈ 0.52 * 100% = 0.52%. Therefore, the relative error in measurement is approximately 0.52%. Choice A is correct because it reflects this calculation. Choice B is incorrect as it represents a lower relative error than the actual value obtained. Choice C is incorrect as it overestimates the relative error. Choice D is incorrect as it underestimates the relative error.

2. Which of the following sentences shows the correct use of quotation marks?

Correct answer: C

Rationale: The correct use of quotation marks is in option C. In this option, the entire quoted sentence is enclosed within double quotation marks. This is the standard convention for punctuating direct speech in English. Option A has an incorrect placement of single and double quotation marks. Option B lacks opening double quotation marks for the spoken sentence. Option D incorrectly places the closing quotation mark outside the question mark, which is not the standard punctuation rule for quoted sentences.

3. A quantity increases from 40 to 60. Express this increase as a percentage.

Correct answer: B

Rationale: To calculate the percentage increase, use the formula: Percentage Increase = ((New Value - Original Value) / Original Value) x 100 Substitute the values: ((60 - 40) / 40) x 100 = (20 / 40) x 100 = 0.5 x 100 = 50% Therefore, the correct answer is 50%. Choice A (26%) is incorrect as the percentage increase is not 26%. Choice C (35%) is incorrect as the percentage increase is not 35%. Choice D (12%) is incorrect as the percentage increase is not 12%.

4. What is 1.25 as a fraction?

Correct answer: B

Rationale: To convert a decimal to a fraction, we note that 1.25 can be expressed as 1 + 0.25. Since 0.25 is equivalent to 25/100 or 1/4, we add 1 whole to 1/4 to get 1 1/4, which simplifies to 5/4. Therefore, 1.25 as a fraction is 5/4. Choice A (1 1/4) is the mixed number form of 5/4. Choice C (4/5) and Choice D (25/20) are incorrect fractions that do not represent 1.25.

5. Which type of wave motion occurs when particles move perpendicular to the direction of wave propagation?

Correct answer: A

Rationale: Transverse waves are characterized by particles moving perpendicular to the direction of wave propagation. In transverse waves, the oscillations of particles are perpendicular to the direction of energy transfer. Longitudinal waves have particles that move parallel to the direction of wave propagation. Electromagnetic waves are a type of transverse wave that do not require a medium for propagation. Surface waves combine both longitudinal and transverse motions and occur at the interface between two different mediums.

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