Respuesta :
Answer:
7.5%
Step-by-step explanation:
[tex]\mathsf{percent\ error=\dfrac{|Approximate\ value -Exact\ value|}{|Exact\ value|}\times100 \%}[/tex]
(the | | means "absolute value" ⇒ negative becomes positive)
Given:
- Approximate value = 370
- Exact value = 400
[tex]\implies \mathsf{percent\ error=\dfrac{|370 -400|}{|400|}\times100 \%}[/tex]
[tex]\implies \mathsf{percent\ error=\dfrac{30}{400}\times100 \%}[/tex]
[tex]\implies \mathsf{percent\ error=7.5 \%}[/tex]
- Error value:-370
- Actual=400
- Error=400-370=30
Now
Percentage error
[tex]\\ \rm\rightarrowtail \dfrac{Error}{Actual}(100)[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{30}{400}(100)[/tex]
[tex]\\ \rm\rightarrowtail 7.5\%[/tex]