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幾題數~~~~~ 聽日要交~~~~~~~ (要steps)

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1. The length of a wire is 7.8 cm, correct to 2 significant figures. Find the maximum absolute error.2. Tom runs 400 m in 1.2 minutes, correct to the nearest 0.1 minutes. Find the percentage error, correct to 2 decimal places.3. The weight of Ann is 48.6 kg with a percentage error of 5%. Find the limits of the... 顯示更多 1. The length of a wire is 7.8 cm, correct to 2 significant figures. Find the maximum absolute error. 2. Tom runs 400 m in 1.2 minutes, correct to the nearest 0.1 minutes. Find the percentage error, correct to 2 decimal places. 3. The weight of Ann is 48.6 kg with a percentage error of 5%. Find the limits of the actual weight of Ann. 4. If 4(x+1) : 10 = 1/2 : 1/4, find the value of x. 更新: 5. 72 marbles are shared between A and B. If the ratio of the number of marbles A gets to that of marbles B gets is 3:5, how many marbles does A get? 6. Factorize 2x(x-y) - 4y(y-x).

最佳解答:

我用//當除號,/當分線 1. The maximum absolute error =0.1/2 =0.05 2. The percentage error =0.1//2/1.2x100% =5/1.2 =4.17minutes(correct to 2 decimal places) 3. Let a be the maximum absolute error a/48.6x100%=5% 100a/48.6=5 100a=243 a=2.43kg The limits of the actual weight of Ann is 48.6 - 2.43 between 48.6 + 2.43 =46.17 kg between 51.05 kg 4. 4(x+1) : 10 = 2:1 4(x+1) : 10 = 4x+4 4x+4 = 20 4x = 16 x = 4 5. Marbles does A get =72x3/(3+5) =216/8 = 27 6. 2x(x-y) - 4y(y-x) =2x(x-y) + 4y(x-y) =(x-y)(2x+4y) =(x-y)(2(x+2y) =2(x-y)(x+2y)

其他解答:

2. the answer should be 4.17% (correct to 2 decimal places)|||||1. The maximum absolute error =0.1/2 =0.05cm (一定有單位) 2. The percentage error = 〔(0.1/2)/1.2〕 *100% = 4.17% (corr. to 2 decimal places) 3. let x be the the maximum absolute error (x/48.6)100%=5% x/48.6=0.05 x=2.43 so the maximum absolute error is 2.43kg so the limitsof the actual weight of Ann is bewteen(48.6-2.43)kg and (48.6+2.43)kg so the limits of the actual weight of Ann is bewteen(46.17)kg and (51.03)kg 4. 4(x+1):10=1/2 : 1/4 (4x+4)/10=1/2*4/1 (4x+4)/10=4/2 (4x+4)=20 x=4 6. 2x(x-y) - 4y(y-x) =2x(x-y)-4y〔-(x-y)〕 =2x(x-y)+4y(x-y) =(x-y)(2x+4y) 5. A gets = 72*〔3/(3+5)〕 =27|||||1. 0.1 / 2 = 0.05 cm 2. maximum absolute error = 0.1 /2 = 0.05 min percentage error = (0.05 / 1.2) x 100% = 4.17% 3. maximum absolute error = 48.6 x 5% = 2.43 kg so, the upper limit = 48.6 + 2.43 = 51.05 kg lower limit = 48.6 - 2.43 = 46.17 kg 4. 4x + 4 : 10 = 2:1 4x + 4 = 20 4x = 16 x = 4|||||1. 0.1/2 = 0.05cm 2. of time : 0.1/2 = 0.05 % = 0.05 / 1.2 x 100% = 4.2% 3. error = 48.6 x 5% = 2.43 kg limit = 46.17 ~ 51.03 kg 4. 4(x+1) : 10 = 1/2 : 1/4 x+1 = 10/2 x=4 5. A: 72 x 3/(3+5)= 27 6. 2x(x-y) - 4y(y-x) = 2x(x-y) + 4y(x-y) = 2(x+2y)(x-y) 2008-01-14 22:52:37 補充: 2. of speed: %= [400 / (1.2-0.05) - 400 / (1.2 0.05)] /400(2) x 100% = 3.5%
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