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There are 3 red beads and 1 blue bead in a jar. A bead is taken at random from the jar. what is the probability that the bead is blue?

1/4
DM
Answered by Daniel M. • Maths tutor
10002 Views

Use the binomial series to find the expansion of 1/(2+5x)^3 in ascending powers of x up to x^3 (|x|<2/5)

We want to rearrange the expression to the form (1+y)^n so we can use the general result: (1+y)^n=1+ny+[n(n-1)/2]y^2+[n(n-1)(n-2)/3!]y^3+... 1/(2+5x)^3 = (2+5x)^-3 = [2(1+5x/2)]^-3 = (2^-3)(1+5x/2)^-3 using ...
SJ
Answered by Saskia J. • Maths tutor
14964 Views

White paint costs £2.80 per litre. Blue paint costs £3.50 per litre. White paint and blue paint are mixed in the ratio 3 : 2 Work out the cost of 18 litres of the mixture.

Amount of paint needed: White paint = (18 ÷ 5) × 3 = 10.8 litres Blue paint = (18 ÷ 5) × 2 = 7.2 litres Cost of white paint = 10.8 x £2.80 = £30.24 Cost of blue paint = 7.2 x £3.50 = £25.20 Total cost = £30....
JM
Answered by Jared M. • Maths tutor
4471 Views

differentiate y=(5x-2)^5

25(5x-2)^4
MK
Answered by Miss K. • Maths tutor
4934 Views

The population of sheep on an island is 170. The population of the sheep is expected to increase by 3% each year, what will the population of sheep be in 5 years time? [3 marks]

Information from question Initial population: 170 Increase: 3% (=x1.03) Years: 5 Method Formula : initial value x increase years 170 x 1.03 5 = 197 sheep Proof 170 x 1.03 = 175.1 (1st year) 175.1 x 1.03 = 18...
RP
Answered by Russell P. • Maths tutor
3523 Views