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F.2 maths question need step
發問:
because i do not know well about error so i have some question problem1. the time taken by a train to go from station A to station B is 3 minutes 49seconds. express the time in minutes and seconds.2. estimate the value of numerical expression 308.8-5.9513 除0.02038 by first rounding off each number to 1... 顯示更多 because i do not know well about error so i have some question problem 1. the time taken by a train to go from station A to station B is 3 minutes 49 seconds. express the time in minutes and seconds. 2. estimate the value of numerical expression 308.8-5.9513 除0.02038 by first rounding off each number to 1 sig.fig 3. the number of heartbeats per minute of a humming-bird measured by a biologist is 980, and the relative error is 245分之1 . what is the possible range of the number of heartbeats per minute? 4.by using a stopwatch, peter finds that the time taken for a colour printer to print 100 identical documents is 7 minutes 5 seconds, and the relative error is 85分之1. what is the possible range of time required to print 1 document? 5.the maximum pulling strength of a fishing-line measured by a laboratory is 60kg and the percentage error is 5%. what is the possible range of the maximum pulling strength of the fishing-line? 6. the time required for an anti-virus software to scan all the files of the computer is measured by a programmer to be 19 minutes 15 seconds, collect to the nearest 5 seconds. find the percentage error of the measured time correct to 2 sig.fig 7. an observatory records that the Leo meteor shower appears every 33 years, collect to the nearest 0.5 year, and the Halley's comet returns every 76 years, collect to the nearest year. (a) find the percentage error for each of these recorded times, collect to 2 sig.fig. (b) the measurement of the (Leo meteor shower/ Halley's comet) is more accurate. Thank you for your help :)
最佳解答:
1. Express the time in minutes = 3 + 49 ÷ 60 = 3 + 0.8 (correct to 2 sig.fig) = 3.8 minutes Express the time in seconds = 60 x 3 + 49 = 229 = 230 seconds (correct to 2 sig.fig) 2. Value = 308.8 - 5.9513 ÷ 0.02038 = 300 - 6 ÷ 0.02 (correct to 1 sig.fig) = 0 3. Measured number of heartbeats the largest error = 980 x 1/245 = 4 The possible range of the number of heartbeats per minute is from 976 to 984. 4. The time taken to print 100 identical documents of the largest error = (60 x 7 + 5) ÷ 100 x 1/85 = 425 ÷ 100 x 1/85 = 0.05 seconds The possible range of time required to print 1 document is from 4.2 seconds to 4.3 seconds. 5. The maximum pulling strength of a fishing-line of the largest error = 60 x 5% = 3 kg The possible range of the maximum pulling strength of the fishing-line is from 57 kg to 63 kg. 6. The largest error = 5 x 1/2 = 2.5 seconds The relative error = 2.5/(19 x 60 + 15) = 2.5/1155 = 1/462 The percentage error = 1/462 x 100% = 0.22% (correct to 2 sig.fig) 7.(a) The percentage error of Leo meteor shower = 0.25/33 x 100% = 0.76% (correct to 2 sig.fig) The percentage error of Halley's comet = 0.5/76 x 100% = 0.66% (correct to 2 sig.fig) 7.(b) The measurement of the Halley's comet is more accurate.
其他解答:
The solution is too long to post here. I have already sent it to your email. Thank you for your question.
F.2 maths question need step
發問:
because i do not know well about error so i have some question problem1. the time taken by a train to go from station A to station B is 3 minutes 49seconds. express the time in minutes and seconds.2. estimate the value of numerical expression 308.8-5.9513 除0.02038 by first rounding off each number to 1... 顯示更多 because i do not know well about error so i have some question problem 1. the time taken by a train to go from station A to station B is 3 minutes 49 seconds. express the time in minutes and seconds. 2. estimate the value of numerical expression 308.8-5.9513 除0.02038 by first rounding off each number to 1 sig.fig 3. the number of heartbeats per minute of a humming-bird measured by a biologist is 980, and the relative error is 245分之1 . what is the possible range of the number of heartbeats per minute? 4.by using a stopwatch, peter finds that the time taken for a colour printer to print 100 identical documents is 7 minutes 5 seconds, and the relative error is 85分之1. what is the possible range of time required to print 1 document? 5.the maximum pulling strength of a fishing-line measured by a laboratory is 60kg and the percentage error is 5%. what is the possible range of the maximum pulling strength of the fishing-line? 6. the time required for an anti-virus software to scan all the files of the computer is measured by a programmer to be 19 minutes 15 seconds, collect to the nearest 5 seconds. find the percentage error of the measured time correct to 2 sig.fig 7. an observatory records that the Leo meteor shower appears every 33 years, collect to the nearest 0.5 year, and the Halley's comet returns every 76 years, collect to the nearest year. (a) find the percentage error for each of these recorded times, collect to 2 sig.fig. (b) the measurement of the (Leo meteor shower/ Halley's comet) is more accurate. Thank you for your help :)
最佳解答:
1. Express the time in minutes = 3 + 49 ÷ 60 = 3 + 0.8 (correct to 2 sig.fig) = 3.8 minutes Express the time in seconds = 60 x 3 + 49 = 229 = 230 seconds (correct to 2 sig.fig) 2. Value = 308.8 - 5.9513 ÷ 0.02038 = 300 - 6 ÷ 0.02 (correct to 1 sig.fig) = 0 3. Measured number of heartbeats the largest error = 980 x 1/245 = 4 The possible range of the number of heartbeats per minute is from 976 to 984. 4. The time taken to print 100 identical documents of the largest error = (60 x 7 + 5) ÷ 100 x 1/85 = 425 ÷ 100 x 1/85 = 0.05 seconds The possible range of time required to print 1 document is from 4.2 seconds to 4.3 seconds. 5. The maximum pulling strength of a fishing-line of the largest error = 60 x 5% = 3 kg The possible range of the maximum pulling strength of the fishing-line is from 57 kg to 63 kg. 6. The largest error = 5 x 1/2 = 2.5 seconds The relative error = 2.5/(19 x 60 + 15) = 2.5/1155 = 1/462 The percentage error = 1/462 x 100% = 0.22% (correct to 2 sig.fig) 7.(a) The percentage error of Leo meteor shower = 0.25/33 x 100% = 0.76% (correct to 2 sig.fig) The percentage error of Halley's comet = 0.5/76 x 100% = 0.66% (correct to 2 sig.fig) 7.(b) The measurement of the Halley's comet is more accurate.
其他解答:
The solution is too long to post here. I have already sent it to your email. Thank you for your question.
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