Upon review of production results, it was determined that 130 pieces out of 3,500 were "out of spec." What percent of the production was "out of spec"?

A. 0.03 percent .
B. 3.71 percent .
C. 30 percent
D. 37.1 percent

Respuesta :

Answer:

Option B

Step-by-step explanation:

Given:

  • 130 pieces of 3500 were out of spec

To determine the percentage of the production was out of spec, we need to use the percentage formula (x/y × 100).

[tex]\implies \dfrac{x}{y} \times 100[/tex]

The value of "x" is the the number of pieces that were out of spec and the value of "y" is the total pieces in the production results.

[tex]\implies \dfrac{130}{3500} \times 100[/tex]

Simplify the expression to determine the percentage of the pieces that were out of spec.

[tex]\implies \dfrac{13000}{3500}[/tex]

[tex]\implies \dfrac{130}{35} = \dfrac{130 \div 5}{35 \div 5} = \dfrac{26}{7} = 3.714... \%[/tex]

When the percentage is estimated to nearest hundredth, we get 3.71%

(Option B)

Answer:

B)  3.71%

Step-by-step explanation:

[tex]\textsf{130 out of 3500}\sf =\dfrac{130}{3500}[/tex]

To convert to a percentage, multiply by 100:

[tex]\implies \sf \dfrac{130}{3500} \times 100\%=0.03714.. \times 100\%=3.71\%[/tex]

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