Question

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

Answer 1

Option B

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).

`\implies (x)/(y) * 100`

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.

`\implies (130)/(3500) * 100`

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

`\implies (13000)/(3500)`

`\implies (130)/(35) = (130 / 5)/(35 / 5) = (26)/(7) = 3.714... \%`

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

(Option B)

Answer 2

B) 3.71%

Explanation:

`\textsf{130 out of 3500}\sf =(130)/(3500)`

To convert to a percentage, multiply by 100:

`\implies \sf (130)/(3500) * 100\%=0.03714.. * 100\%=3.71\%`