Today's Topics (July 2020)

RZ923

Turn me on my side, and I am everything. Cut me in half, and I am nothing. What am I? (Answer: \(\infty\) )

Shouldn’t the answer be \(8\)?

debbie

@RZ923 Yes, you're right; thanks!

The Blade Dancer

Shouldn't that be 8 because then it becomes infinite

debbie

@The-Rogue-Blade Sorry, I missed that... what did you say again? I was looking at my list of things to do...

debbie

Topics from the Friday 7/24/20 live stream

The mean of a list of \(12\) numbers is \(13,\) and the modes are \(a, b, c, d.\) If \(a + 2, b - 6, c + 1,\) and \(d - 3\) are distinct numbers in this list, and none of them are modes of the list, then what is \(a + b + c + d?\)
In triangle \(\bigtriangleup ABC, AB = 13, BC = 14, CA = 15\) and \(M\) is the midpoint of \(\overline{BC}.\) Let \(P\) be a point on the segment \(AM\) so that \(\angle BPC + \angle BAC = 180^{\circ}.\) Find \(MP \times MA.\)
Three fair six-sided dice are rolled. What is the probability that the values shown on two of the dice sum to the value shown on the remaining dice?
Which do you think is more important for kids learning math: more depth (digging deeper into only a few topics), or more width (learning more topics, but only learning a bit of each?)
Po the dolphin answers my question. He answers \(500\%.\) What is the chance that he will answer this problem with \(500\%\) again?
How to multiply two or more numbers in less than \(15\) seconds without using a calculator.
I was dumpster diving when I found a broken calculator. \(4 = 1, 3 = 3, 5 = 0, \) and \(6=?\)
Suppose you are at a distance of \(r\) above a planet of radius \(r.\) How much of the planet is visible?
How many ways are there to choose \(5\) books from \(12\) books with no neighboring books chosen?

debbie

How many zeroes are there from all the integers from \(1\) to \(25\) in binary?
Let \(S\) be the set of points determined by \( \left| |x|-2 \right| + \left| |y|-1 \right| = 1.\) If a model of \(S\) were built from wire of negligible thickness, then what is the total length of wire required?
\(G\) is an \(8 \times 8\) grid with a \(1\) written in each of its unit squares. An operation consists of multiplying all entries in a row or column by \(-1.\) How many distinct grids can be obtained by applying this operation to \(G\) a finite number of times?
Is it possible that geometry can be proved by algebra?
What is your chess rating?
How hard it is to get into Carnegie Mellon University?
What majors does Carnegie Mellon specialize in?
Can you get your channel certified? Like get that check mark next to your channel name?