lily estimate that she was able to answer correctly 35 question out of 40 questions in a test. however, she only scored 75% for the test. find the difference between the actual number of questions that answer correctly and the estimated number of question she thought she able to answer.

Difference = 35 - 0.75*40 = 35 - 30 = 5.

To find the difference between the actual number of questions Lily answered correctly and the estimated number of questions she thought she could answer, we need to subtract the estimated number of correct answers from the actual number of correct answers.

Let's calculate the actual number of correct answers first. The test had 40 questions, and Lily scored 75%, which means she got 75% of the questions correct.

To find the actual number of correct answers, we can multiply the total number of questions by the percentage she scored:

Actual number of correct answers = 40 questions * 75%
= (40 * 75) / 100
= 30

So, Lily answered 30 questions correctly.

Now, let's calculate the difference between the actual number of correct answers (30) and the estimated number of questions she thought she could answer (35).

Difference = Actual number of correct answers - Estimated number of correct answers
= 30 - 35
= -5

Therefore, the difference between the actual number of questions Lily answered correctly and the estimated number of questions she thought she could answer is -5.