picadojoahnna
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You thought your bookcase was 80” (inches) tall. It was really 75.75“
tall. What was your % error rounded to the nearest tenth?
SOMEONE PLEASE ANSWER !!

Respuesta :

  • Difference=80-75.75=4.25"

Error

[tex]\\ \rm\Rrightarrow \dfrac{Difference}{Original}\times 100[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{4.25}{80}\times 100[/tex]

[tex]\\ \rm\Rrightarrow 0.0535(100)[/tex]

[tex]\\ \rm\Rrightarrow 5.35\%[/tex]

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

  • Approx = 80
  • Actual = 75.75

[tex] \sf\% \: error = \frac{ |80 - 75.75| }{75.75} \times 100[/tex]

[tex] \sf\% \: error = \frac{ |4.25| }{ \frac{303}{4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 4.25 }{ \frac{303}{4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ \frac{17}{ \cancel4} }{ \frac{303}{ \cancel4} } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 17 }{ 303 } \times 100[/tex]

[tex] \sf\% \: error = \frac{ 1700 }{ 303 } [/tex]

[tex] \sf\% \: error = 5.6\%[/tex]

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