F.2 maths 一問(4:30p.m.內.plz)
2007-11-26 12:09 am
the weight of a bag of sugar is measured to be 125g with a percentage error of 0.4%, find the range of the true weight of the sugar.
回答 (5)
2007-11-26 12:13 am
✔ 最佳答案
Percentage error = absolute error/ measured value * 100%0.4% = absolute error/125 * 100%
absolute error = 0.5
Range of true weight = (125-0.5) to (125+0.5)
= 124.5 g to 125.5 g
2007-11-26 12:18 am
Find the range of the true weight of the sugar
125x(1-0.4%)
=124.5
125x(1+0.4%0
=125.5
so the range of the true weight of the sugar is 124.5g-125.5g
125x(1-0.4%)
=124.5
125x(1+0.4%0
=125.5
so the range of the true weight of the sugar is 124.5g-125.5g
參考: myself
2007-11-26 12:16 am
The upper limit
=125x(1+0.4%)
=125.5g
the lower limit
=125x(1-0.4%)
=124.5g
so,the range is between 124.5g to 125.5g.
=125x(1+0.4%)
=125.5g
the lower limit
=125x(1-0.4%)
=124.5g
so,the range is between 124.5g to 125.5g.
2007-11-26 12:15 am
125x0.4%
=0.5g
The range:
125+ or - 0.5g
=from 124.5g to 125.5g
=0.5g
The range:
125+ or - 0.5g
=from 124.5g to 125.5g
參考: me~=]
2007-11-26 12:15 am
Maximum absolute error
= Measured value X percentage error
= 125 X 0.4%
= 0.5 g
upper limit of the weight of the bag
= measured value+maximum absoulte error
= 125 + 0.5
= 125.5 g
Lower limit of the weight of the bag
= measured value﹣maximum absoulte error
= 125 – 0.5
= 124.5 g
Therefore, range of true value of the weight is 124.5 g ~ 125.5 g
= Measured value X percentage error
= 125 X 0.4%
= 0.5 g
upper limit of the weight of the bag
= measured value+maximum absoulte error
= 125 + 0.5
= 125.5 g
Lower limit of the weight of the bag
= measured value﹣maximum absoulte error
= 125 – 0.5
= 124.5 g
Therefore, range of true value of the weight is 124.5 g ~ 125.5 g
收錄日期: 2021-04-13 16:47:51
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