Final answer:
This inquiry deals with different mathematical principles including statistics, supply and demand analysis, quadratic equations, uniform distributions, and survey data analysis.
Step-by-step explanation:
The question appears to be addressing a variety of mathematical concepts related to statistics and economics. Specifically, the scenarios provided touch upon understanding unoccupied seats in flights in terms of mean numbers, the impact of social changes on the supply and demand for movie tickets, solving quadratic equations, uniform distributions in probability, and analysis of survey data using the plus-four method. An in-depth explanation of each of these concepts would involve using statistical formulas, graphing supply and demand curves, applying the quadratic formula, understanding uniform distributions and interpreting the results, and modifying sample data for better estimation respectively.