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What is an unproven statement based on observations?
It is a conjecture, or an hypothesis in the scientific method. An hypothesis supported by experiment can become a theory.
What is an educated guess based on known information?
Conjecture
What is the step by step method scientists use in solving a problem?
This is called the Scientific method. It includes these steps :Use your experience: Consider the problem and try to make sense of it. Look for previous explanations. If this is a new problem to you, then move to step 2.Form a conjecture: When nothing else is yet known, try to state an explanation (to another experimenter or to your notes).Deduce a prediction from that explanation: If you assume a conjecture is true, what consequences follow?Test: Look for the opposite of each consequence which would then disprove the conjecture. It is a logical error to seek the predicted results (3) directly, as proof of the conjecture. This error is called affirming the consequent.
What describes a conclusion reached through observation?
A conjecture
A conjecture that appears to explain a set of facts in terms of a cause and effect relationship?
A conjecture that explains a set of facts through a cause and effect relationship is often referred to as a causal hypothesis. This type of conjecture suggests that one event or condition (the cause) directly influences another event or condition (the effect). To validate such a conjecture, empirical evidence or experimentation is typically required to demonstrate the strength and nature of the relationship. It serves as a foundation for further investigation and can lead to the development of theories if consistently supported by data.
What conjecture can you make about the sum of the first 10 positive even numbers?
One possible conjecture is that their sum is 27. The conjecture is patently false, but that does not stop it being a conjecture.
What do you use to make a conjecture?
EVIDENCE
What conjecture can you make about the relationship between multiplying decimals and whole numbers?
You can make whatever conjecture that you want: it does not have to be true or even logical. You could conjecture that the relationship is like the one between the Sun and the Earth!
Make a conjecture about the sum of the first 25 positive even numbers?
My conjecture is that the sum is 67. A conjecture does not have to be true, or even plausible. You should be able to test it. If it is found to be true then in is no longer a conjecture, if it is found to be false, it is rejected - and so no longer a conjecture. If it cannot be proved either way, it remains a conjecture.
What is the future tense of conjecture?
The future tense of "conjecture" is "will conjecture."
What conjecture can you make about the sum of the first 46 positive odd numbers?
Any conjecture you want; a conjecture is merely an opinion or conclusion based on given information. Whether the conjecture is true or not is left to be proved (if provable at all). One opinion (conjecture) could be that the sum is "blue". It's a totally nonsense conjecture, but its a conjecture none the less. A sensible conjecture might be that the sum is odd. This can be tested and found to be true or false by summing the first 46 odd numbers (a mechanical method that is fairly easy in this case), or by the mathematical manipulation of axioms via algebra (a mathematical proof).
When you make a what you're really doing is guessing?
Infrencing
What is an example of a TRUE conjecture?
The Poincaré Conjecture.
What is a statement that is believed to be true?
a conjecture
What shows that a conjecture is false?
A conjecture should be testable. You test it and if it fails the test, it is a false conjecture.
Are conjectures allowed in proofs?
Usually not. If you do use conjectures, you should make it quite clear that the proof stands and falls with the truth of the conjecture. That is, if the conjecture happens to be false, then the proof of your statement turns out to be invalid.
What is a synonym for conjecture?
A conjecture is a guess, theory, hypothesis, or proposition.
