a pencil company produces two types of pencils: mechanical pencils and wooden pencils. The company selects 40 random packages of each type to check their weight and 5 packages of wooden pencils have incorrect weights. how many packages should the company predict have incorrect weights when it checks 1000 packages of each type ?

Respuesta :

The company should predict about 125 packages will have incorrect weights.

Answer:

125

Step-by-step explanation:

We are given that a pencil company produces two types of pencils

Mechanical pencils and wooden pencils.

In 40 packages of each type , number of packages of wooden pencils which have incorrect weight=5

We have to find the number of packages in 1000 packages of each type have incorrect weight.

In 40 packages of each type of pencil , number of packages have incorrec weight=5

In 1 package  of each type of pencil , number of packages have incorrect weight=\frac{5}{40}[/tex]

In 1000 of each type of pencil , number of packages have incorrect weight=[tex]\frac{5}{40}\times 1000=125[/tex]

Hence, 125 packages have incorrect weight when the company check 1000 packages of each type.