Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

question 7. a student measures the mass of a sample as 9.67 g. calculat…

Question

question 7. a student measures the mass of a sample as 9.67 g. calculate the percentage error, given that the correct mass is 9.82 g

Explanation:

Step1: Calcular el error absoluto

El error absoluto \(E_a=\vert valor\medspace medido - valor\medspace verdadero\vert\)
\(E_a=\vert9.67 - 9.82\vert=\vert - 0.15\vert = 0.15\)

Step2: Calcular el error porcentual

La fórmula del error porcentual \(E_p=\frac{E_a}{valor\medspace verdadero}\times100\%\)
Sustituir \(E_a = 0.15\) y \(valor\medspace verdadero=9.82\)
\(E_p=\frac{0.15}{9.82}\times100\%\)
\(E_p\approx1.53\%\)

Answer:

El error porcentual es aproximadamente \(1.53\%\)