Final answer:
The question involves solving linear equations, utilizing lines of best fit, and calculating z-scores for normal distributions in mathematics. By simplifying equations and applying relevant formulas, one can find the unknown values.
Step-by-step explanation:
The question provided pertains to various topics within mathematics, primarily focusing on solving linear equations, working with lines of best fit, and understanding properties of normal distributions and how they relate to the z-score. To approach these problems, one should first simplify the given equations and then utilize the appropriate mathematical formulas and concepts to solve for the unknowns.
For example, in the case of the equation y = −3204 + 1.662x, which is given as the line of best fit, you would substitute the given value of X to find the corresponding value of y. Similarly, in the context of the normal distribution question, you would use the given values of X and Y along with their specified distributions to compute the z-score for the given value of y. Additionally, topics such as the quadratic formula can be used for more complex equations involving squared terms.