F.2 Maths

2007-11-25 10:51 pm
3.In each of the following cses, calulate the percentage error. Correct your answers to 1 decimal plac if necessary.
a)The weight an object is measured to be 25.0 kg.
b)The height of a boy is measured to be 125cm.
c)The population of a city is estimated to be 7.0 million.
*d)The profit of a company last year $850000, correct to the nearest thousand.
[*=可做/可唔做]

回答 (1)

2007-11-25 11:06 pm
✔ 最佳答案
3.In each of the following cses, calulate the percentage error. Correct your answers to 1 decimal plac if necessary.
a)The weight an object is measured to be 25.0 kg.
the maximum absolute error
=1/2*0.1=0.05kg
the percentage error
=0.05/25*100%
=0.2%

b)The height of a boy is measured to be 125cm.
the maximum absolute error
=1/2 cm
the percentage error
=0.5/125*100%
=0.4%

c)The population of a city is estimated to be 7.0 million.
the maximum absolute error
=1/2*0.1
=0.05 million
the percentage error
=0.05/7*100%
=0.7% (Correct to 1 decimal place )

*d)The profit of a company last year $850000, correct to the nearest thousand.
the maximum absolute error
=1/2(1000)
=$500
the percentage error
=500/850000*100%
=0.0588
=0.1%(Correct to 1 decimal place )





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