Question

Maria is in charge of quality control at an electronic device factory. In a day, 3% of their devices have a defect. If 784 electronic devices are produced in a day, then approximately how many are without defect?

a) Approximately 761 devices are without defect.
b) Approximately 773 devices are without defect.
c) Approximately 761 devices have a defect.
d) Approximately 3 devices are without defect.

Answer 1

To find the approximate number of devices without defect, we calculate 97% of 784, which yields approximately 761 devices without defects.

Step-by-step explanation:

The student is asking about a factory production issue where 3% of devices have defects. If 784 devices are produced, we want to find the number of devices without defects. To calculate this, we take 100% and subtract the defect rate to find the non-defective rate, which is 97%. We then calculate 97% of 784 to find the number of non-defective devices:

97% of 784 = 0.97 × 784 ≈ 760.48

Since the number of devices must be a whole number, we round off to approximately 761 devices without a defect. Therefore, the correct answer is (a) Approximately 761 devices are without defect.