Question

A quality control officer is randomly checking the weights of sugar bags being filled by an automatic filling machine. Each bag is advertised as weighing 1000 grams. A bag must weigh within 2.3 grams in order to be accepted. What is the range of rejected bags, x, for the bags of sugar?

Answer 1

the answer is x=0.065217391 kilograms

Answer 2

`997.7>x>1002.3`

Explanation:

Given : Each bag is advertised as weighing 1000 grams.

A bag must weigh within 2.3 grams in order to be accepted.

To Find : What is the range of rejected bags, x, for the bags of sugar?

Solution:

Each bag is advertised as weighing 1000 grams.

A bag must weigh within 2.3 grams in order to be accepted.

So, The acceptance range for x bags :
`1000-2.3<x<1000+2.3`

`997.7<x<1002.3`

So, The bag must weighs more than 997.7 grams and should be less than 1002.3 grams

So, The range of rejected bags, x, for the bags of sugar is when The bag must weight less than 997.7 grams and more than 1002.3 grams

So, The range of rejected bags, x, for the bags of sugar:
`997.7>x>1002.3`