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h is proportional to √n .: h = k x √n , where k is the constant of proportionality When h = 35, n = 2000 .: 35 = k x √2000 k = 35/√2000 So put this in our formula. h = 35/√2000 x √n Now, when n = 10000: h = 35/√2000 x √10000 = 78.26237921 = 78 cm

To draw a box plot, you need the five number summary (Minimum, 1st Quartile, Median, 3rd Quartile and Maximum). The question gives us the minimum (140 cm) and maximum (190 cm). We'll have to find the rest ourselves. There are 60 people altogether (not 70, be careful). So the median is at...

Yes that is true, because they don't want you using all those useful calculator programmes that you have programmed into your calculator to help you cheat! If it's a Casio 9850GB or 9860, then it will certainly default to Radians as the angle measure and you'll need degrees. So as soon as you...

Probably the most useful formulae not on the sheet are all those formulae for Area of Plane shapes, such as area of a circle, and especially area of a trapezium A = h/2(a + b).

For Future Value Formula: Look for words like "how much will the investment be worth after 20 years" For Present Value Formula: Look for words like "what amount does s/he have to invest now so that ..." The present value formula that you use will depend on the information given. Remember...

It's not really an easy question! The best way of tackling this question is to draw a tree diagram and write the probabilities on each of the branches. P(blue then blue) = 15/20 x 14/19 = 21/38 P(blue then red) = 15/20 x 5/19 = 15/76 P(red then blue) = 5/20 x 15/19 = 15/76 P(red then red)...

Remember that the interest is compounded monthly, so everything needs to be done in months. r = 0.5% per month = 0.005 n = 7 years = 84 months A = M[(1+r)n–1 / r] = 125 x [(1+0.005)84–1 / 0.005] = 125 x [(1.005)84–1 / 0.005] = 125 x [(1.005)84–1 / 0.005] = $13 009.24

I always draw up a number line for the z-scores from -3 to 3 and put numbers according to the mean and standard deviation. -3 ... -2 ... -1 ... 0 ... 1 ... 2 ... 3 4 ... 16 ... 28 ... 40 ... 52 ... 64 ... 76 Now 52 is 1 standard deviation above the mean, so from 40 to 52 represents half...

I'm assuming that this is really: (40x - 3x^2)/ 3 = x(20-x)/ 3 This is a quadratic equation, not something you'll need to worry about in the General Course. (40x – 3x2)/3 = x(20 – x)/3 Multiply both sides by 3. 40x – 3x2 = x(20 – x) 40x – 3x2 = 20x – x2 Add 3x2 to both sides. 40x =...

This is a great question, because the phrase "how much should he deposit now" gives it away as a Present Value question. Now there are two PV formulas, the big one and the little one. So which one to use? Do you know the total amount that the investment grows to (little formula), or do you...

Kat's answer is the best. A quick method which only works for a GST of 10% is to divide by 11. This will give the amount of the GST component, then you can subtract this from the selling price to get the cost price.

My advice is: 1. Make sure you never round off until the very last line of your working. It's certainly a hassle writing down a string of decimals from your calculator in your working, but don't be lazy. Just do it. And in most cases you don't have to retype them back in, you can use the ANS...

I think some people don't realise there's a specific "General Mathematics" course, and might mistake this section as a place for general enquiries ... if you know what I mean.

You may have noticed or heard that there was a change in the "answer booklets" last year. Previously there were the standard 4-page BOS exam books. Last year they brought in special A3 sheets for Q23-Q28 where everything including student number was pre-printed on the sheet. It is this A3 sheet...

Permutations and Combinations is done in General and in 3 unit. However in General, there is really no need to learn or use the nPr or nCr notation. In 3 unit, probabilities are more complex, and nCr is vital for work in the Binomial Theorem.

No news here. I've always used a table to do it, but actually do it in columns rather than rows. x ... f(x) ... W ... P

These are official, courtesy of the Australian Mathematics Trust.

As far as I'm aware, there's no "security period" as such. It's supposed to be done on the same day at the same time - or not at all. After that it's basically public domain. So best of luck for Monday! I'm sure there will be answers up by Monday afternoon.

No brainer. Maths. As far as I'm aware, NSW is a state of the Commonwealth of Australia, and no part, in any way, of the United States of America. As soon as the yanks learn to speak and spell properly the world will be a better and safer place.

Re: Australian Mathematics Competition 19 = [5(3 – √3)]/2 22 = 12(5√3 + 9)