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. (a) A person's blood pressure is measured to be 120 ± 2 mm Hg120 ± 2 mm Hg . What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?

Question

. (a) A person's blood pressure is measured to be 120 ± 2 mm Hg120 ± 2 mm Hg . What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?

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Solution

(a) The percent uncertainty is calculated by dividing the uncertainty by the measured value and then multiplying by 100 to get a percentage. In this case, the uncertainty is 2 mm Hg and the measured value is 120 mm Hg.

So, the percent uncertainty is (2/120)*100 = 1.67%.

(b) If we assume the same percent uncertainty for a blood pressure measurement of 80 mm Hg, we can find the uncertainty by rearranging the percent uncertainty formula to solve for the uncertainty.

So, the uncertainty is (percent uncertainty/100)*measured value = (1.67/100)*80 = 1.336 mm Hg.

Therefore, the uncertainty in a blood pressure measurement of 80 mm Hg is approximately 1.34 mm Hg when rounded to two decimal places.

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