Calculate percentile rank
I am confused with the concept of percentile rank. I am in the top 7 of my class, how would I calculate my percentile rank? Number of students 72 I am 7th...
Apr 12, 2026 1 VIEWS
Topic: General
5104 Articles 
Applying law of total probability to conditional probability
I was solving problems based on Bayes theorem from the book "A First Course in Probability by Sheldon Ross". The problem reads as follows: An insurance co...
Apr 11, 2026 1 VIEWS
Proving $\pi x(1-x)\le \sin \pi x \le 4x(1-x)$ for $x \in [0,1]$
The LHS of the following inequality $$\pi x(1-x)\le \sin \pi x \le 4x(1-x), ~~ x \in [0,1]~~~~(1)$$ can be proved by taking $$f(x)=\sin \pi x-\pi x(1-x) \...
Apr 11, 2026 1 VIEWS
Different Law of Cosines using Sine instead: $c^2 = a^2 + b^2 - 2ab\sqrt{1-\sin^2(\theta)}$
Playing around with Trig and the Law of Cosines (LoC), I came up with this formula given a triangle with sides $a$, $b$, $c$ where we are given $a$, $b$ a...
Apr 11, 2026 1 VIEWS
Proving the limit of a function of a sequence is equal to the function of the limit of that sequence
Suppose $f$ is a continuous function at $x = c$ in $[a,b]$. Prove that for any sequence ${x_n}$ in $[a,b]$ converting to $c$, the sequence $\{f(x_n)\}$ co...
Apr 11, 2026 1 VIEWS
Questions tagged [geometric-probability]
Q&A for people studying math at any level and professionals in related fields
Apr 11, 2026 1 VIEWS
If $w^2 + x^2 + y^2 = z^2$, then $z$ is even if and only if $w$, $x$, and $y$ are even
I'm trying to go through the MIT opencourseware Mathematics for Computer Science (6.042J). I've been stumped for half a day trying to figure it ...
Apr 11, 2026 1 VIEWS
a+b=a*b, a-b=? if a and b are positive integers
So this is a question off Facebook (I know). $a, b$ are positive integers. The answer to the problem turns out to be $a-b=0$ as the only two obvious solut...
Apr 11, 2026 1 VIEWS
Finding basis of kernel of a linear transformation
I was trying to do my Linear algebra HW, and I was stuck on a question. The question is the one shown below: I was able to do part (a), but I am having tr...
Apr 11, 2026 1 VIEWS
Central Angles of a Circle
My teacher said that the central angles of a circle are equal to the measure of the arc, but I don't understand on how this could possibly work. Can ...
Apr 11, 2026 1 VIEWS
How to go from 1/6 to 16 2/3
A VCR is programmed to record a TV show that lasts for a half hour. If the cassette tape used can accommodate 180 minutes of programming, what percent of ...
Apr 11, 2026 1 VIEWS
What is the difference between weak and strong convergence?
What is the difference between strong and weak convergence? I am reading "Introductory functional analysis" by Kreyszig and I dont appreciate the differen...
Apr 11, 2026 1 VIEWS