Estimate the absolute deviation (absolute uncertainty) for the following calculation. The numbers in parenthesis are absolute standard deviations. Give answer to two significant figures.
y = 84.1 ( 0.6 ) x 1.09( 0.07 )
Although not entirely justifiable, the answer needs to be given to 2 sig. figs!!
EDIT** This is all i was given as a question
x = First value = 84.1 0.6
y = Second value = 1.09 0.07
Rule:
If we multiply two values: x and y each with an uncertainty,
then:
We add the % uncertainty in the two values to get the % uncertainty in the final value.
Thus, we get:
xy = (84.1 X 1.09) (0.6 + 0.07)
= 91.669 0.67
So,
Answer is:
0.67
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