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You can look into positions like data analyst, data scientist or data engineer.

I would try Turramurra Library. It is near Hornsby.

I will take back what I said.

Basically everything in combinatorics is based on two things. 1) rule of product 2) rule of sum An axiom is statement that is true but cannot be proven. Rule of Product Stated simply, it is the intuitive idea that if there are a ways of doing something and b ways of doing another thing, then...

You need multiple N-awards. Early entry does not consider N-awards to the best of my knowledge

Maybe you could just select a shirt then apply rule of product axiom. (Q15) Similarly you could do same for Q18. Just place one of boys in the circle and then apply rule of product axiom

No need to bump every 30 minutes. Have you tried math stack exchange to see if there was any similar questions.

So what you want to do first, is graph the functions. Every 1/4 of period of sin(x), there is important transition. E.g. midline to peak, peak to midline etc. Once you do that identify the point and use calculus.

Most likely he is trying to scare you.

Given you are in standard, the failure rate is quite high for math subjects so you definitely want to take some action. As a side note you seem to be referring to the MOOC on coursera. The course is 100% free. You can find other free courses on coursera as well.

You need knowledge of two things 1) related angles and the unit circle 2) special triangle used to find sin/cos/tan of angles 30, 45, 60 degrees Refer to a textbook or YouTube

You have made no attempt. How do you plan on understanding binomial theorem if you don't know about permutations? The question requires an understanding of perms and combs

No. You can sub x =-1 in the expression C.

Based on the ranking released University of Melbourne is better than UNSW. https://www.smh.com.au/national/nsw/revealed-where-every-australian-university-sits-in-global-rankings-20240603-p5jiwq.html

a) is very easy. Notice 8! = 40320.

pascal triangle represents the values of nCr. Once you understand how it is defined the questions are straightforward. You need to then make use of the formula probability = num_permutations*probability_of_single_events. Make sure to understand why this formula holds.

Ah I missed that detail

This is not correct. You have changed series. Also the formula for geometric series has not been applied correctly. You should power to n. Also number of terms are now n-1 since you have remove the 1.

a is always the first term in the series. So therefore a = 1. r is defined to be the ratio of successive terms. So r = 2(0.9)/1 = 2(0.9)

a) is just simplification. So things like expansion, exponent rules and the special triangle.