i got 0.375 for part b
the area was a rectangle across the unit square wasn't it
with corners, (0,1/4), (1/4,0), (3/4,1), (1, 3/4)
soo, the sides are sqrt(1/8) and sqrt(1 1/8),
multiplying base * height = 0.375
so P(they meet) = 0.375/1
i got 12 minutes for the last answer
which i'm 100% sure is wrong because the probability was 0.375 for 15 minutes, so for 0.5 it has to be > 15. i hope i get some marks along the way though...
that is extension-1 work and it won't be required for the upcoming exam
if m1 and 2 are the gradients of the two lines,
then tan@ = |m1 - m2|/(1 + m1m2)
well i've never heard of this before but:
P(1st) = 1/200 * $100 = 50c
P(2nd) = 1/199 * $50 approx = 25c
soo, 75c is her "financial expectation"
but she spent 1 dollar so she loses 25c
um 73/120 (60.8%) in 2003 scaled or aligned or whatever to an 82%
last year a 111/120 would have placed you in top20 of state
100/120 is well into band 6
remember:-
1. "ratio of intercepts on transversals passing parallel lines are equal"
2. volume of cone = 1/3 pi r2 h
3. add interest before subtracting the monthly/yearly payment in loan repayments
4. similar triangles are your friends
5. know your graphs of secx cotx and cosecx...
when proving a point is a maximum is the table enough?
sometimes you just know that it's going to be a max
so if you found a max at x = 3,
will just writing f'(3 - a) > 0, f'(3) = 0, f'(3 + a) < 0 get you full marks for the proving?
because sometimes there's 50 other variables and...