Question

A cell phone company checks a shipment of 200 phones and finds that 5 are defective. Based on this data, about how many defective phones should the company expect to be defective in a shipment of 760 phones?

a) 15
b) 19
c) 20
d) 29

Answer 1

To estimate the number of defective phones in a shipment of 760 phones, we can use the concept of proportion. The company should expect around 19 defective phones in a shipment of 760 phones.

Step-by-step explanation:

To estimate the number of defective phones in a shipment of 760 phones, we can use the concept of proportion. We know that out of 200 phones, 5 are defective. So, the proportion of defective phones is 5/200. We can use this proportion to estimate the number of defective phones in the larger shipment.

Let x represent the number of defective phones out of 760. We can set up the proportion: 5/200 = x/760. Cross-multiplying, we get 200x = 5 * 760. Solving for x, we find that x = 19.

Therefore, the company should expect around 19 defective phones in a shipment of 760 phones. The correct answer is b) 19.

we can use a proportion. If in a shipment of 200 phones, 5 are defective, we set up a proportion to find the number of defective phones in a shipment of 760 phones. This is shown as 5/200 = x/760, where 'x' represents the number of defective phones we are trying to find.

Solving for 'x' gives us x = (5 × 760) / 200. When you calculate this, you get x = 19. Therefore, the company should expect approximately 19 defective phones in a shipment of 760 phones, which corresponds to option b).