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Emma measured a line to be 16 inches long. If the actual length of the line is 15.3 inches, then what was the percent error of the measurement, to the nearest tenth of a percent?

Respuesta :

Answer:

4.6% (nearest tenth)

Step-by-step explanation:

percent error = (|approx - actual| Γ· actual) Γ— 100

percent error = (|16 - 15.3| Γ· 15.3) Γ— 100

Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  Β  = 4.6% (nearest tenth)

[tex] \sf\% \: error = \frac{ |approx - actual| }{actual} \times 100[/tex]

  • Approx = 16
  • Actual = 15.3

[tex] \tt\% \: error = \frac{ |16 - 15.3| }{15.3} \times 100[/tex]

[tex] \tt\% \: error = \frac{ |0.7| }{15.3} \times 100[/tex]

[tex] \tt\% \: error = \frac{ |0.7| }{ \frac{153}{10} } \times 100[/tex]

[tex] \tt\% \: error = \frac{0.7}{ \frac{153}{10} } \times 100[/tex]

[tex] \tt\% \: error = \frac{ \frac{7}{10} }{ \frac{153}{10} } \times 100[/tex]

[tex] \tt\% \: error = \frac{7 }{ 153 } \times 100[/tex]

[tex] \tt\% \: error = \frac{7 00}{ 153 } [/tex]

[tex] \tt\% \: error =4.57\%[/tex]

  • Thus, The % error is 4.6% when rounded off to the nearest tenth!!~