WHEN 0.997^6 WAS COMPUTED BY A STUDENT, HIS RESULT WAS 0.9817. FIND THE PERCENTAGE ERROR, CORRECT TO THREE DECIMAL PLACES
4 answers
AB stop talking in caps, it seems like you're yelling at people.
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%
0.0004/0.9824
=0.004%
=0.004%
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%.
3 answers