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3 years ago

What is the difference between a theorem and an axion ?

Mathematics

2 answers:

Sliva [168]3 years ago

8 0

Answer:

An axiom is often a statement assumed to be true for the sake of expressing a logical sequence. ... These statements, which are derived from axioms, are called theorems. A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives.

hope it helps

PLEASE MARK BRAINLIEST

postnew [5]3 years ago

5 0

Answer:

A theorem, by definition, is a statement proven based on axioms, other theorems, and some set of logical connectives. ... An axiom is a statement that is assumed to be true without any proof, while a theory is subject to be proven before it is considered to be true or false.

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$\sf\purple{\dfrac{tanθ}{secθ - 1} = \dfrac{tanθ + secθ + 1}{tanθ + secθ - 1}{cm}^{2}}$

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What is the solution to this addition sentence? 3/4 + (-1/2) = _____

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$\text{Remove parentheses}\\\frac{3}{4} - \frac{1}{2} \\\text{Simplify}\\\frac{1}{4} \checkmark$

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About 16 % of the population of a large country is allergic to pollen. If two people are randomly selected, what is the probabil

Vinvika [58]

Answer:

(a) 0.0256

(b) 0.2944

Step-by-step explanation:

For solving this exercise we can apply the binomial distribution. The equation that give as the probability is:

$P(x,n,p)=(nCx)*p^{x} *(1-p)^{n-x}$

Where n is the number of identical events, p is the probability that the event has a success and x is the number of success in the n identical events.

Additionally, nCx is calculated as:

$nCx=\frac{n!}{x!(n-x)!}$

So, in this case we have 2 identical events because we are going to select two people randomly and the probability p of success is the probability that the person is allergic to pollen and this probability is 16%.

Then, for the first case, x is 2 because their are asking for the probability that both are allergic to pollen. Replacing the values of x, n and p we get:

$P(2,2,0.16)=(2C2)*0.16^{2} *(1-0.16)^{2-2}$

P(2,2,0.16)=0.0256

For the second case, their are asking for the probability that at least one is allergic to pollen, that means that we need to sum the probability that both are allergic to pollen with the probability that just one is allergic to pollen.

Using the same equation to calculate P(1,2,0.16) we get:

$P(1,2,0.16)=(2C1)*0.16^{1} *(1-0.16)^{2-1}$

P(1,2,0.16)=0.2688

So, the probability that at least one person is allergic to pollen is 0.2944 and it is calculated as:

0.0256 + 0.2688 = 0.2944

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Answer:

Should be 39 years.

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What is the difference between a theorem and an axion ?​

What is the difference between a theorem and an axion ?