Expected Value

We use expected value each day, and it can greatly influence our decisions. If we know that something will likely go wrong, then we're obviously not going to do it. If the chances are we're going to lose money, then we're not going to do it. But there are some things that even though the chances of losing are bad, we still will do. Like gamble. Expected value plays a big part in our daily life

Relationship Between Pythagorean Theorem and Circle Equation

As we all know, the Pythagorean Theorem is a²+b²=c². The circle formula is

r²=(h-x)²+(y-k)². The hypotenuse can be drawn in a circle from the center, or (h,k), to any point on the circle, or(x,y), thus making c² the equivalent to r². The side a² can be taken from the point on the circle, which is on the y axis, and then to the y value of the center. So (y-k)² is the same as a². The side b² comes from the same place as the side a², but is on the x axis, so it goes from point x to point x in the center, or h. 

Real Life Circle

This is a circle with an inscribed angle

This is a Polyhedron

This is an example of an octahedron

It is three dimensional and has eight faces 

Conditional Statement

Original: If it is warm outside, then I wear shorts.
This is true because warm weather calls for less layers, and that would mean wearing shorts.
Inverse: If it is not warm outside, then I do not wear shorts.
This is false because even if it is not warm outside, I can still wear shorts.
Converse: If I am wearing shorts, then it is warm outside.
This is false because I can wear shorts in the winter. It is ultimately my decision on what clothes to wear.
Contrapositive: If I did not wear shorts, then it was not warm outside.
This is true because if I wore pants, then it was too cold to wear shorts. I do get cold easily.

Why Math is Fantastic

Honestly, I don't like math all that much. I find it annoying. But I do appreciate how one formula works for everything that it is used for. That's pretty cool. It's also interesting how numbers just keep going and going and going. Now that will make you feel small any day.