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i already know the definition, but can you explain it all or atleast show me an example

2006-11-02 07:24:32 · 9 answers · asked by Anonymous in Science & Mathematics Mathematics

9 answers

a hypothesis is an educated guess
it has to be written as an if, then statement
For example: If this statement helps you, then i mite get 10 points for the best answer!
good luck!

2006-11-02 07:42:20 · answer #1 · answered by campkid4ever 2 · 1 0

It is a statement that you assume to be true, to see what else would be true under the circumstances.

For example, the proof by contradiction always start by assuming a hypothesis which is the opposite of what you are trying to prove. The logic that follows eventually leads to a contradiction, which means that the initial hypothesis was false.

Example of a proof by contradiction: Prove that sqrt(2) is irrational.

We make the hypothesis that sqrt(2) is rational, i.e. there are whole numbers p and q with largest common denominator=1, such that (p/q)^2 = 2.

Then p^2/q^2 = 2

p^2 = 2q^2.

This means that p^2 is even (a multiple of 2), and also that p is even.

Since p^2 is even, it must be a multiple of 4, since it is a square.

This means that q^2 is a multiple of 2, so q^2 and q are even.

Thus p and q have 2 as a common denominator, contradicting the hypothesis. We must therefore reject the hypothesis and conclude that sqrt(2) is irrational.

2006-11-02 15:38:53 · answer #2 · answered by Anonymous · 0 0

A hypothesis is something you arrive at after making some observations. Then you start testing the hypothesis to see if it is true.

Example. You observe that you aquarium is turning green. Sometimes it takes less time than others, maybe a few weeks, maybe a few days.

You consider that the algae might be appearing due to stronger sunlight by the window, warmer house temperatures, more or less fish, more or less fish food, a different kind of fish food, a different kind of filter, how oftern you change the filter etc. etc.

These observations come to you from your experience with owning the aquarium for a while and from seeing what happens when you go away on vacation, when you ask someone else to take care of it and so on.

So your hypothesis could be that light is a factor. You could test this by having two identical aquariums but one is near a sunny window and one is not..

You can come up with other experiments to test other hypothesis related to what you have observed.

2006-11-02 15:32:40 · answer #3 · answered by Anonymous · 0 0

For me, an hypothesis is an idea to be tested out in order to explain an observation.

Therefore, if I see 3 cats that are white, I might create the hypothesis, "Cats are white."

Then, I could test the hypothesis by examining more cats or asking other people about their observations of cats.

A good hypothesis need not be true. Rather, it should be open to testing by observation or experimenation. A good hypothesis should make a prediction. In this case a prediction might be, "When I see a cat, no matter where or when, it will be white."

Thus, the "white cat" hypothesis is open to testing and refinement. Should I observe a black cat I can reject the "white cat" hypothesis. Better yet, I can refine the "white cat" hypothesis to say to a new form, "Cats are white or black."

Thus, hypotheses can be correct, incorrect, or partly correct. Or they can be modified as new data is accumulated.

2006-11-02 15:32:09 · answer #4 · answered by jshaw1953 2 · 0 0

If you observe Canadian geese are flying South you could come up with several hypotheses:

My hypothesis is that the Canadians are forcing them out of Canada.

My hypothesis is that the geese are just migrating to a warmer climate.

My hypothesis is that this is a temporary phenomenon and will not occur again.

You can make any hypothesis you want. It need not be correct, but it is what you think hsppens to be true. Further observations could cause you to modify your original hypothesis.

2006-11-02 15:41:58 · answer #5 · answered by ironduke8159 7 · 0 0

A hypothesis is a prediction based on experience. In order to come up with a solution, one needs to form a hypothesis then either prove it true or untrue.

A hypothesis should be specific enough to direct the solution to the desired outcome, but not so specific as to limit the possibilities of exploration. Sometimes, it takes as much skill to craft a good hypothesis as it does to test it.

In mathematics, you can create a hypothesis such as "f(x) will approach 0 as x approaches infinity", then create a series of tests to check the validity of your hypothesis. Hypotheses need not be true, but they must be accurate to be helpful.

Keep in mind, it is sometimes easier to disprove a good hypothesis...

Hope this helps!

2006-11-02 15:31:18 · answer #6 · answered by disposable_hero_too 6 · 0 0

well if u mean as in one which u use in math then....

okay... heres a conditional : if i have friends, then i will go to the mall.
the hypothesis here is the 1st part, or the part after "if" which in this case wud be " if i have frnds" and the conclusion wud be "then i will go to the mall"

m not sure if this is wat u were looking for, but as ur answer was in the mathematics section i thought this was it... if not then the above answers are most correct.
well,
hope this helped!!

2006-11-02 15:28:23 · answer #7 · answered by D.P 3 · 0 0

an educated guess or an assumption

if you mean hypothenuse then it is the side of a right triangle opposite the right angle.

In a triangle the hypothenuse is the longest leg

2006-11-02 15:27:44 · answer #8 · answered by Up_In_Smoke 2 · 0 1

The key will disolve in the acid.

It is an educated guess.

2006-11-02 15:27:03 · answer #9 · answered by unan1m0us 5 · 0 0

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