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Chapter 1: Q14P (page 9)

Question: A lecture period (50 min) is close to 1 microcentury. (a) How long is a microcentury in minutes? (b) Using

,percentagedifference=(actual-approximationactual)脳100

find the percentage difference from the approximation.

Short Answer

Expert verified

Answer

  1. Duration of 1 microcentury is .
  2. The percentage difference in the actual and approximate duration of the microcentury is 9%.

Step by step solution

01

Given data

The lecture period of 50 min is close to a microcentury.

02

Understanding the duration of micro century

A time period of amillionthof acentury, equal to 52minutesand 35.7seconds

03

(a) Determination of the duration of micro century 

Calculate the duration of 1 microcentury in minutes as follows:

1microcentuary=106century100y1century365day1y24hr1day60min1hr=52.6min

Thus, the duration of 1 micro century in minutes is 52.6 min .

04

(b) Determination of the percentage difference

The percentage difference can be calculated as follows:

percentagedifference=(actual-approximationactual)脳100=52.6-5052.6脳100=0.049脳100=4.9%

Thus, the percentage difference is 4.9%.

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