Final answer:
The question outlines many mathematical topics such as variance, standard deviation, optics calculations, binomial probability, and the quadratic formula, but the request is unclear. Graphical methods are mentioned as a technique for problem-solving, which can be particularly helpful in statistics or algebra.
Step-by-step explanation:
The question seems to be a mix of unrelated mathematical concepts possibly linked to algebra, statistics, and probability. The error in the question makes it difficult to provide a single clear answer.
However, parts of the information given hint at statistical calculations (Variance, Standard Deviation), solving equations for magnification in optics (Equation 2.30 related content), and using a graphing calculator for binomial probability distribution problems (binompdf function).
Furthermore, there is mention of the quadratic formula for finding the roots of quadratic equations. It is important to note that graphical methods can be useful for visualizing and solving problems when numerical methods or algebraic solutions are complex or infeasible.