The first inclings a person has that there might be a better explanation for [fill in the blank] is a hypothesis. Anyone working in any kind of science will have several hypotheses to wonder about, and to drive the development of research questions. But hypotheses are not useful just for professionals in the standard sciences. Any time you wonder about how a system or structure can be improved, you are developing hypotheses.
ANSWER
human beings are always looking for ways to make things better, improve them in any way they can for the good and future of society and our lives
it is useful in any situation, to use your brain and think of possibilities is good for you as it gives you intellectual stimulation and good for society because you could be the next inventor or come up with the next great ingenious idea.
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to be useful in sciences a hypothesis must be
It really depends on what your hypothesis is! But I expect a hypotenuse could be more useful in this context. However, knowledge of the hypothesis, hypotenuse even, is not enough to enable you to find the perimeter.
So they know not to make the same mistake again
yes. hippo hypo hippo hypo
This allows one to examine different ideas about theme, plot, and structure.