On a science quiz, David got 45 out of 70 correct. What is the empirical probability of his incorrect responses? Write your answer in the simplest form of a fraction.
To calculate the empirical probability of his incorrect responses, we need to first find the number of incorrect responses.
Number of correct responses = 45
Total responses = 70
Number of incorrect responses = Total responses - Number of correct responses
Number of incorrect responses = 70 - 45 = 25
Now, we can calculate the empirical probability of his incorrect responses by dividing the number of incorrect responses by the total responses:
Empirical probability of incorrect responses = Number of incorrect responses / Total responses
Empirical probability of incorrect responses = 25 / 70
Simplify the fraction by dividing both the numerator and denominator by 5:
Empirical probability of incorrect responses = 5 / 14
Therefore, the empirical probability of David's incorrect responses is 5/14.