Question

Robert is inspecting a shipment of 22 inch pipes. The length of the pipes may vary by 1%. What is the range of allowable lengths of the pipes?

Answer 1

The range of allowable lengths for the 22 inch pipes, with a 1% length variance, is between 21.78 inches and 22.22 inches.

Step-by-step explanation:

Robert is tasked with assessing the quality of a shipment of 22 inch pipes. Given that the length of the pipes can vary by 1%, we need to calculate the minimum and maximum lengths allowable in this range. To compute the range, we take the nominal length of a pipe and apply the 1% tolerance on both sides.

The nominal length of the pipe is 22 inches. To calculate 1% of this length, we multiply 22 inches by 0.01 (which is the decimal representation of 1%). This calculation gives us 0.22 inches as the tolerance.

Now, we subtract 0.22 inches from 22 inches for the minimum length and add 0.22 inches to 22 inches for the maximum length. Therefore, the range of allowable lengths for the pipes is:

Minimum Length = 22 inches - 0.22 inches = 21.78 inches

Maximum Length = 22 inches + 0.22 inches = 22.22 inches

So, any pipe within this range of lengths would be considered acceptable according to the given specifications.

Answer 2

The allowable lengths of pipe is from 21.78 inch to 22.22 inch.

Step-by-step explanation:

The length of the each pipe in the shipment = 22 inch

The variation in the length of pipes = 1%

⇒The allowable length of pipe in the inspection = 22 inch ± 1%

Now, 1% of 22 =
`(1)/(100)  * 22 = 0.22`

So, 22 inch + 1% = 22 inch + 0.22 = 22.22 inch

and 22 inch - 1% = 22 inch - 0.22 = 21.78 inch

⇒ 22 inch ± 1% = 22.22 inch and 21.78 inch

Hence, the allowable lengths of pipe is from 21.78 inch to 22.22 inch.