A quality control expert randomly samples 60 pairs of sunglasses and finds 5 defective pairs. predict how many defective pairs will be in a shipment of 420 sunglasses.

• kamizam38: 420/60=7
  7*5=35 sunglasses
• carlosego:

  For this case the first thing you should do is find the percentage of sunglasses that are defective.

  For this, we make the following rule of three:

  60 pairs -------------------> 100%

  5 pairs ---------------------> x

  From here, we clear the value of x.

  We have then:

  [tex] x = (\frac{5}{60}) * (100)
  
  x = 8.3%
  [/tex]

  We now look for the amount of sunglasses that may come with defects.

  We have then:

  [tex] N = (0.083) * (420)
  
  N = 34.86
  [/tex]

  Rounding to the nearest whole number:

  [tex] N = 35
  [/tex]

  Answer:

  About 35 defective pairs will be in a shipment of 420 sunglasses