Final answer:
To find the score that would have a z-score of 1.75, you can use the formula X = μ + z * σ. Plugging in the given values, the score is 76.
Step-by-step explanation:
To find the score that would have a z-score of 1.75, we can use the formula: X = μ + z * σ, where X represents the score, μ represents the mean, z represents the z-score, and σ represents the standard deviation.
Plugging in the given values, we have X = 55 + 1.75 * 12 = 55 + 21 = 76.
Therefore, the score that would have a z-score of 1.75 is 76.