Here is my question; Business and finance. Julio works as a quality control expert in a beverage

factory. The assembly line that he monitors produces about 20,000 bottles in a
24-hour period. Julio samples about 120 bottles an hour and rejects the line if
he finds more than of the sample to be defective. About how many defective
bottles should Julio allow before rejecting the entire line?

You seem to have left a word out of this sentence: Julio samples about 120 bottles an hour and rejects the line if he finds more than of the sample to be defective.

Business and finance. Julio works as a quality control expert in a beverage

factory. The assembly line that he monitors produces about 20,000 bottles in a
24-hour period. Julio samples about 120 bottles an hour and rejects the line if
he finds more than of the sample to be defective. About how many defective
bottles should Julio allow before rejecting the entire line?

To determine how many defective bottles Julio should allow before rejecting the entire line, we first need to calculate the acceptable number of defective bottles per hour.

Given that Julio samples 120 bottles per hour, we need to determine the maximum allowable number of defective bottles within this sample.

Let's assume that Julio rejects the line if more than "x" bottles in the sample are defective. We can set up the following equation:

x/120 = total defective bottles / 20,000

To rearrange this equation, we can cross-multiply:

total defective bottles = (x/120) * 20,000

Simplifying further, we get:

total defective bottles = 200,000x/120

Since Julio rejects the line if there are more than the acceptable number of defective bottles, we need to round up the result to the nearest whole number:

rounded total defective bottles = ceil(total defective bottles)

Therefore, to calculate the acceptable number of defective bottles per hour, Julio should allow the rounded total defective bottles before rejecting the entire line.