Real Life Pythagorean Theorem

So, I’d like to believe that most people know the Pythagorean Theorem. The famous a2 + b2 = c2 theorem that relates the lengths of the sides of a right triangle. Earlier this month, I was helping my mom move. The moving company requested to know the size of my mom’s televisions. Since my mom has a 1990s console-style Cathode-ray tube (CRT) television, I was going to measure the length, width, depth, and screen size so that the company would have an accurate idea of the size of the television as possible. If you didn’t know, the screen size of a TV is always measured diagonally, which is a practice that was started by early TV manufacturers simply to make the size of the TV more impressive. Mathematically, the diagonal of a TV will always be longer than its length or width. Another thing to note is that for old CRT TVs like my mom’s, the size of the TV’s diagonal measurement is...
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Thoughts on Today’s Educational System

The other day I was talking with a friend who isn’t a teacher and our conversation led me to have the following thoughts: What we do in what has become today’s traditional educational system where students are expected to sit in rows and attend classes all day and then go home to do homework doesn’t work for most students. It is unnatural for someone to sit for that long at a time, let alone a younger person. In general, people do tend to learn better by being actively involved in their learning. I reminded my friend that the educational system hasn’t always been this way. Anyway, here is what I think has happened: At some point, America primarily was a land of farms. Children would wake up early to help their family on the farm, learning valuable life lessons along the way as well. Then, later in the day, the children would go to a one-room schoolhouse for a lesson on reading and...
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Distribution of my Facebook Friends’ Names

The other day I was talking with my friend Matt, and he said to me that he thought I knew a lot of people with names starting with “J.” I thought that was a bit strange, but started looking through my Facebook Friends list out of curiosity, and sure enough, Matt was right. The distribution of my Facebook Friends’ Names is below: Then he claimed that he felt that most of my friend’s names began with a “J.” As you can see, the highest is “J” with 43, followed by “S – 35,” “M – 32,” “D – 31,” and “R – 30.” And if your name starts with a “U” or an “X,” I’m likely not to be your friend. So, I wanted to test Matt’s hypothesis that most of my friend’s names start with a “J.” H0: the proportion of my friend’s names that start with a “J” is 0.5 H1: the proportion of my friend’s names that start with a “J”...
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