Answer: 440
Step-by-step explanation:
1. First, we need to calculate Nolan's z-score on Exam A. The z-score is a measure of how many standard deviations an element is from the mean. It is calculated as follows: z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation. For Exam A, Nolan's z-score is (380 - 400) / 100 = -0.2.2. To find out how well Nolan must score on Exam B to do equivalently well as he did on Exam A, we need to find the score that corresponds to a z-score of -0.2 on Exam B. We can do this by rearranging the z-score formula to solve for X: X = μ + zσ. For Exam B, the score that corresponds to a z-score of -0.2 is 450 + (-0.2) * 25 = 440.Therefore, Nolan must score 440 on Exam B to do equivalently well as he did on Exam A.
