Search results

I think glittergal96 might have thought that the bias thing with men and women was referring to the percentage out of all those accepted who are male. The study actually considered the acceptance rates of women and men applicants separately (like your cricket example basically).

I was referring to the Kakeya Needle one in those posts.

Can't remember, check the syllabus online. It's either 2U or 3U for sure. Iirc it's in the Pender (Cambridge) Year 11 3U textbook.

Haha yeah that table one is really nice. Here's a math / physics paper about it: http://arxiv.org/pdf/math-ph/0510065.pdf Here's the Numbephile video about it:

This is the nature of weighted averages.

Haha yeah, it is an interesting result, I just meant that it's not really real-world as braintic wanted.

Another good one is that there are always two opposite points on Earth with exactly the same temperature. This is proved quickly and accessibly in this video by Dr James Grime: https://youtube.com/watch?v=5Px6fajpSio

This isn't very "practical" though, since the car / needle needs to be made arbitrarily thin if you want the area to be arbitrarily small. For anyone interested, there is a Numberphile video on the Kakeya Needle Problem: www.youtube.com/watch?v=j-dce6QmVAQ

$I think they want you to do it like this:$ $a) The answer wanted is $x+2y + 9 + k(2x-y+3) = 0$, where $k\in \mathbb{R}$.$ $b) We want $(0,0)$ to lie on the line, so this happens iff $0+0+9 +k(0+0+3)=0 \Longleftrightarrow 3k+9=0$, that is, $k=-3$. Substitute this in to our general form in a)...

Also remember that if you want 99.95 with HSC Business Studies, you'll need to state-rank or near-state-rank it.

OP's teacher screwed up. However, it might have been nice if the universities used some sort of regression and correlation analysis when taking in the ATAR estimates. Namely, for each school with a student applying, they'd look at past histories of that school's ATAR estimates for students vs...

Re: HSC 2016 4U Marathon Here is one: $\noindent Let $n$ be a positive integer and let $\omega$ be an $n^\text{th}$ root of unity. If $k$ is an integer, show that $\omega ^k$ and $\omega^{n-k}$ are complex conjugates.$

Re: HSC 2016 4U Marathon $\noindent For the first part, how did you deduce that $C(x)-l(x)$ was a perfect cube? This was basically equivalent to what we had to prove for that part, so we should probably give a bit more reasoning.$

Re: HSC 2016 4U Marathon \noindent \textbf{NEW QUESTION FOR 2016'ERS} $\noindent Let $\mathcal{C}: y = C(x)$ be a cubic and $\ell: y = l(x)$ be a straight line in the Cartesian Plane, and suppose they meet at a point $P \left(x^*,y^*\right)$. Show that $x^*$ is a triple root of the equation...

Every year people get 99+ ATAR's (even 99.95) without going to coaching. I'm guessing though that the majority of people with ~99.95 ATAR had coaching.

Yeah, but sometimes it's actually more convenient to define functions by their power series representation and then prove other things about them.

I'd actually be more surprised if everyone knew how it worked.

What kinds of things are considered central to mathematics? The theory of real numbers?

There is no dot, there is only the *. :)

We must keep in mind that we can't really compare BOS Estimates with ATAR Calculator estimates that are based on your actual HSC Marks unless the BOS estimates were ones done after HSC results came out (which not many people do).