Answer:
0.47%.
Step-by-step explanation:
We have been given that a research student measured the age of an ice layer at 70 m depth as 425 years. The accepted value reported is 427 years.
We will use error percent formula to solve our given problem.
[tex]\text{Error percentage}=\frac{|\text{Approx value}-\text{Exact value}|}{\text{Exact value}}\times 100[/tex]
[tex]\text{Error percentage}=\frac{|425-427|}{427}\times 100[/tex]
[tex]\text{Error percentage}=\frac{|-2|}{427}\times 100[/tex]
[tex]\text{Error percentage}=\frac{2}{427}\times 100[/tex]
[tex]\text{Error percentage}=0.0046838407494145\times 100[/tex]
[tex]\text{Error percentage}=0.46838407494145[/tex]
Rounding to two decimal places:
[tex]\text{Error percentage}\approx 0.47[/tex]
Therefore, the percent error of students value is approximately 0.47%.
