Final answer:
The correct answer to the question about the compound inequality 12≤x≤36 is c) 12≤x≤36. This signifies that x can be any value between 12 and 36, inclusive of both numbers.
Step-by-step explanation:
The student has asked a question regarding the solution of a compound inequality where the values for the area A of a rectangle are given as 12≤x≤36. The correct solution to this inequality is c) 12≤x≤36. This means that the value of x can be any number that is equal to or between 12 and 36, inclusive of the endpoints.
In other parts of the given information, there are various concepts touched upon such as comparison of areas, vector components, conditional probability, continuous probability functions, and percentiles, which indicate the broad range of topics covered in a typical high school mathematics curriculum. These concepts are vital for students to grasp in order to solve a variety of problems in algebra, geometry, trigonometry, and statistics.