As a fundraiser the student council sword chances to guess the number of jellybeans in a jar. Kaylee won the raffle with a guess of 370 jellybeans even though there were actually 400 jellybeans in the jar

What was Kaylee‘s percent error?

Please explain how you got the answer and add the actual answer again thank you

(Giveing Brainly and worth 50 points!!!!)

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]

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