Question

A new computer algorithm can correctly detect a person's emotions 60 percent of the time. This is an improvement over an old algorithm. The old algorithm was correct only 40 percent of the time. Suppose that each algorithm tries to detect a person's emotions 300 times. According to the percentages, how many more times will the new algorithm be correct than the old algorithm?

Answer 1

The new computer algorithm with 60% accuracy will be correct 180 times out of 300 attempts, whereas the old algorithm with 40% accuracy will be correct 120 times. Hence, the new algorithm will be correct 60 times more often than the old one over 300 tries.

Step-by-step explanation:

The student is asking to find out how many more times the new algorithm will be correct than the old algorithm when each tries to detect a person's emotions 300 times. The new algorithm has a 60 percent accuracy rate, while the old one has a 40 percent accuracy rate.

To calculate this, we take 60 percent of 300, which gives us:

0.60 × 300 = 180 times

Now, for the old algorithm at 40 percent accuracy:

0.40 × 300 = 120 times

To find out how many more times the new algorithm is correct, we subtract the two values:

180 - 120 = 60 times

Therefore, the new algorithm will be correct 60 times more than the old algorithm over 300 attempts.