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Why two tail of normal distribution do not touch the horizontal axis?

The domain of the Normal distribution is the whole of the real line. As a result the horizontal axis is asymptotic to the Normal distribution curve. The curve gets closer and closer to the axis but never, ever reaches it.


Why doesn't the normal curve ever touch the axis?

The normal curve, or Gaussian distribution, approaches but never touches the axis because it is defined mathematically to extend infinitely in both directions. As you move further away from the mean, the probability density decreases, but it never actually reaches zero; instead, it asymptotically approaches the horizontal axis. This characteristic reflects the fact that while extreme values become increasingly unlikely, they are still possible, ensuring that the total area under the curve remains equal to one.


Would you ever get a normal curve bell shape that is perfect?

Only in theory.


Do parallel planes ever intersect?

No


Do parallel lines ever intersect?

No, parallel lines cannot ever intersect. The have identical slopes. Therefore, they will always remain parallel.


Do magnetic field lines ever intersect?

yes


Will an angle bisector ever intersect outside the triangle?

No.


What is perpendicular an d parallel lines?

Perpendicular lines intersect at a 90 degree angle. Parallel lines do not intersect, nor would they ever intersect if continued infinitely.


Do coplaner lines ever intersect?

if they are parallel -- no. if not parallel -- yes


Will the medians of an obtuse triangle ever intersect on the triangle?

Yes. Medians always intersect in a single point, called the centroid, or geocenter.


Will 2 parallel lines ever intersect?

Never in Euclidean geometry.


Define asymotote and explain the relationship between a hyperbola and its asymptotes?

An asymptote of a curve is a line where the distance of the curve and line approach zero as they tend to infinity (they get closer and closer without ever meeting) If one zooms out of a hyperbola, the straight lines are usually asymptotes as they get closer and closer to a specific point, yet do not reach that point.