I had a look again, and actually to be technically correct the answer for 10b) should be either -cos(ɵ)/sin(ɵ) or -cot(ɵ). The gradient of the tangent to the circle is actually defined at ɵ = pi/2. If your answer is -1/tan(ɵ) it will be undefined at ɵ = pi/2 but if you take ɵ=pi/2 on the graph it is clearly defined (the gradient will be zero).
I had a look again, and actually to be technically correct the answer for 10b) should be either -cos(ɵ)/sin(ɵ) or -cot(ɵ). The gradient of the tangent to the circle is actually defined at ɵ = pi/2. If your answer is -1/tan(ɵ) it will be undefined at ɵ = pi/2 but if you take ɵ=pi/2 on the graph it is clearly defined (the gradient will be zero).
But surely they wouldn't take a mark off for that? Like are they that brutal??
Also just realised I misinterpreted the last part of Q9. But then I read this on the Facebook page:
"bii is a question of interpretation. Usually part ii of a question is separate to any information obtained from part i.
If this is the case, then part ii tells us that Pr(B)=0.3; therefore p=0.7.
If not, then part ii tells us that Pr(B|W)=0.3; therefore p=7/16.
Hopefully people complain to vcaa and both solutions are marked correct!"
then a response:
"no it isn't, not only is this part ii of part b, meaning the two answers should be linked, but even if it wasn't linked, the answer would be 7/16. This is because it says the probability that THIS egg came from part B, and THIS egg is white, meaning the appropriate given that formula would need to be used and give you 7/16 anyway."
then:
" b) "another egg is selected at random from the set of all eggs at the warehouse" (no suggestion that this random egg must be white)
ii. Probability that THIS^ egg is from farm B=0.3"
"Oh yeah you're right, if anything now I am more convinced that the answer is 0.7. I think that's the way I interpreted it the first time actually, I definitely see where you're coming from and I think they might have to award a mark to everyone"
Would anyone be able to clarify this?