Question

In a manufacturing process, light bulbs are being made 150 bulbs are rejected in a batch of 30,000 bulbs. what is the proportion of bulbs in a batch is satisfactory.​

Answer 1

To find the proportion of satisfactory bulbs, subtract the number of rejected bulbs from the total and then divide by the total. In this case, the equation 29,850/30,000 results in a proportion of approximately 99.5% satisfactory bulbs.

Step-by-step explanation:

The student is asking about the proportion of satisfactory bulbs in a batch given a certain number of rejected bulbs. To find the proportion of satisfactory bulbs, we subtract the number of rejected bulbs from the total number of bulbs in the batch and then divide by the total number of bulbs in the batch to get the proportion of satisfactory bulbs.

First, calculate the number of satisfactory bulbs:

• Total number of bulbs in the batch = 30,000
• Number of rejected bulbs = 150
• Number of satisfactory bulbs = Total bulbs - Rejected bulbs = 30,000 - 150 = 29,850

Now, calculate the proportion of satisfactory bulbs:

• Proportion = Number of satisfactory bulbs / Total number of bulbs
• Proportion = 29,850 / 30,000
• Proportion ≈ 0.995 (or 99.5%)

Therefore, the proportion of bulbs in the batch that is satisfactory is approximately 99.5%.