0
Still curious? Ask our experts.
Chat with our AI personalities
Rafa
Beau
LaoAdd your answer:
Earn +20 pts
Why do people use syllogisms?
so that they can have a clear an valid point to the argument, with proof.
Can a pair of straight angles can also be adjecent angles?
No, but the can be adjacent angles. It is mathematically valid even though it serves no point.
When population distribution is right skewed is the interval still valid?
You probably mean the confidence interval. When you construct a confidence interval it has a percentage coverage that is based on assumptions about the population distribution. If the population distribution is skewed there is reason to believe that (a) the statistics upon which the interval are based (namely the mean and standard deviation) might well be biased, and (b) the confidence interval will not accurately cover the population value as accurately or symmetrically as expected.
Is it possible for graph of function to cross the horizontal assymptotes?
When you plot a function with asymptotes, you know that the graph cannot cross the asymptotes, because the function cannot be valid at the asymptote. (Since that is the point of having an asymptotes - it is a "disconnect" where the function is not valid - e.g when dividing by zero or something equally strange would occur). So if you graph is crossing an asymptote at any point, something's gone wrong.
How does one determine the validity and the invalidity of a function?
The validity or invalidity of a function are not abstract but depend on its domain and codomain or range. If for any point, A, in the domain there is a unique point, B, in the range such that f(A) = B then the function is valid at A. The validity of a function can change from point to point. For example, f(x) = sqrt(x) is not a function from the set of Real Numbers to the set of Real Numbers because any negative number in the domain is not mapped to any value in the range. This can be corrected either by changing the domain to the set of non-negative Real Numbers or (if you are a more advanced mathematician) change the range to the set of Complex Numbers. Similarly the reciprocal function, f(x) = 1/x is valid everywhere except for x = 0. Or f(x) = tan(x) is valid except for x = 90+k*180 degrees for all integer values of k - so it is not valid at an infinite number of points.
