In a sampling taken at the local factory, three (3) out of every 100 CD players were defective. Based on the sample, approximately how many CD players may be defective in a shipment of 1920 CD players? Write a proportion that could be used to solve the problem, and then state the answer.

Respuesta :

Answer:

58 CD players

Explanation:

Three (3) out of every 100 CD players were defective.

[tex]\frac{\text{Defective}}{\text{Total}}=\frac{3}{100}[/tex]

If there is a shipment of 1920 CD players, we have:

[tex]\frac{\text{Defective}}{\text{Total}}=\frac{\text{Defective}}{1920}[/tex]

The proportion that could be used is:

[tex]\frac{3}{100}=\frac{Defective}{1920}[/tex]

We solve the proportion above for the number of defective CD players.

[tex]\begin{gathered} \text{Defective}\times100=1920\times3 \\ \text{Defective=}\frac{1920\times3}{100} \\ =57.6 \\ \approx58 \end{gathered}[/tex]

Therefore, approximately 58 CD players may be defective in a shipment of 1920 CD players.