Respuesta :
Answer: No
Step-by-step explanation:-
Labeled diameter on the bolt = 0.35 inch
The observed diameter of the bolt= 0.33 inch
[tex]{\text {Percentage Error}}=|\frac{\text {labeled value}-{Observed value}}{\text {Observed value}}|\times 100\%[/tex]
[tex]{\text{Percentage Error}=|\frac{0.35-0.33}{0.33}|\times 100\%=6.06\%[/tex]
For the bolt to be in the package, the percent error must be less than 5%. As the percent error is 6.06% which is greater than 5%, the bolt cannot be in the package.
Answer : The bolt should not go in the package.
Step-by-step explanation :
To calculate the percentage error, we use the equation:
[tex]\%\text{ error}=\frac{|\text{Experimental value - Accepted value}|}{\text{Accepted value}}\times 100[/tex]
We are given:
Experimental value of diameter of bolt = 0.33 inch
Accepted value of diameter of bolt = 0.35 inch
Putting values in above equation, we get:
[tex]\%\text{ error}=\frac{|0.33-0.35|}{0.35}\times 100\\\\\%\text{ error}=5.71\%[/tex]
As we are given that the percent error must be less than 5%.
As the percent error is 5.71% which is greater than 5%, that means the bolt cannot be in the package.
Hence, the bolt should not go in the package.
