Final answer:
The statement is False; variables can have their values reassigned to different types in many programming languages, particularly dynamically typed ones.
Step-by-step explanation:
The statement is False. In many programming languages, a variable that is initially assigned to a value of type int can later be reassigned to a value of type float. The ability to change the type of a variable's value depends on the language's typing system. In dynamically typed languages like Python, you can easily assign a new value of a different type to an existing variable. In statically typed languages, however, variables are explicitly declared to be a certain type, and you cannot directly assign a value of a different type without type casting. Even in statically typed languages, it is often possible to work around the type system through casting or using union types.