Search results

I'd like to see the lead in to the question.

How can it be considered a possibility if the probability of it occuring = 0?

Which trial is the question from?

What they meant in the hint is that cos(2π/3) - isin(2π/3) = cos(-2π/3) + isin(-2π/3) which puts it in the form cos@ + isin@ which you can apply de moivre's to since (cis@ + isin@)ⁿ = cis(n@) + isin(n@). The hint works because cos is an even function: cosx = cos(-x) and...

Your reasoning sounds solid, whoever wrote the answer is just being a gronk.

The subtle focus on domestic topics is somewhat amusing. I was suprised by the weighting they gave to Q8 a) which, while not easy conceptually, only consists of two applications of the sum of an arithmetic series. This paper reminded me of one from sydney boys, check out this Q8, it's quite...

For A y = 4h - 1/2.gt² (1) For B y = h - 1/2.g(t - 10)² (2) If we let y=0 when t = t₀ then from (1) ---> t₀ = √(8h/g) = 2√(2h/g) ....... (3) from (2) ---> t₀ = 10 + √(2h/g) ......................(4) equating...

You subtract 2 because of the word "share" you can't have either people recieving all of the items.

By combinatorics I mean some of the permutations/combinations stuff we do; a simple example being 'how many ways are there to share n objects between 2 people?'

Thanks acmilan, I appreciate it.

I rediscovered a 'trick' today that I had found some time ago and I thought I might share it with you guys: In the expansion of (a₁ + a₂ + ... + a_n)^P the coefficient of...

Hmm, it's a somewhat interesting take on it all. However, I don't agree with this sweeping statement: "In the face of this overwhelming normality, the high school student abandons all dreams of passionate inquiry, creative trial and error and ever-expanding learning experiences." That...

When you say "etc" do you mean any situations other than those regarding rust? P.S. Shipwrecks sucks :p. I campaigned for a long time to have our school do forensic chem instead (which I got to do in the end).

Thanks, you're doing a better job than me if you can get the diagram part.

Hmm, I'd help you out if I knew what they were describing :p. By the sounds of it the second particle is attached to the first particle by a string. I don't see how the second particle could have a circular motion parallel to the whole system if alpha and beta are different angles. In summary, I...

10C2 x 8C2 x 6C2 x 4C2 x 2C2 treats the groups like permutations, e.g. if the people are pi ( i = 1, 2, ... 10) then you're treating: p1,p2 ... p3,p4 ... p5,p6 .... p7,p8.... p9,p10 as though it were different to p3,p4 ... p5,p6 .... p7,p8.... p9,p10...p1,p2 (for the purpose of...

I'm never sure whether I'm using the correct logic when I'm doing probability but my first guess would be: Let the two people be A and B. Let A be in a specific group. There are 9 people remaining which can be paired with A, one of which is B. This yields a 1/9 probability that A and B...

I think he meant benching 1 times his body weight; 3 times.

Oh, and just something I missed. The question says the maximum weight is 10m (not just 10)... in which case T ≤ 10mg giving mw²r/sinθ ≤ 10mg ---> w²r/sinθ ≤ 10g and eventually P ≥ 2π/√(5g)

Well, when the pendulum hangs vertically the tension in the string is T=10g (F =m.a) hence 10g is the maximum value of T, i.e. T ≤ 10g .... (1) When you were resolving forces you should have gotten the result: ∑ horizontal forces = mw²r Tsinθ = mw²r...