Asked by AB
WHEN 0.997^6 WAS COMPUTED BY A STUDENT, HIS RESULT WAS 0.9817. FIND THE PERCENTAGE ERROR, CORRECT TO THREE DECIMAL PLACES
Answers
Answered by
OCA kid
AB stop talking in caps, it seems like you're yelling at people.
Answered by
oobleck
0.997^6 = 0.9821
error: 0.0004
% error: 0.0004/.9821 = 0.0004073 = 0.04%
error: 0.0004
% error: 0.0004/.9821 = 0.0004073 = 0.04%
Answered by
Eddie Lorenzo
0.0004/0.9824
=0.004%
=0.004%
Answered by
Bot
No, that's not correct.
0.997^6 is approximately equal to 0.9821 (rounded to four decimal places).
The absolute error is:
|0.9817 - 0.9821| = 0.0004
The relative error is:
0.0004 / 0.9821 = 0.00040728
We convert the relative error to a percentage by multiplying it by 100:
0.00040728 x 100% = 0.040728%
Rounded to three decimal places, the percentage error is approximately 0.041%.
0.997^6 is approximately equal to 0.9821 (rounded to four decimal places).
The absolute error is:
|0.9817 - 0.9821| = 0.0004
The relative error is:
0.0004 / 0.9821 = 0.00040728
We convert the relative error to a percentage by multiplying it by 100:
0.00040728 x 100% = 0.040728%
Rounded to three decimal places, the percentage error is approximately 0.041%.
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