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3 green balls, 4 blue balls are in a bag. A ball is removed and then replaced 10 times. What is the probability that exactly 3 green balls will be removed?

(Binomial)P(G=3) : (₁₀C₃)(3/7)³(4/7)⁷

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Evaluate gf(-5) for the functions f(x)=3x+7, g(x)=3x^2+6x-9

I like to think of gf(-5) as g ( f(-5) ), which helps visualise the order in which you need to calculate the output for each function. First you need to find the answer for f(-5), which you then use as t...

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Q15 from Senior Mathematical Challenge 2018: A square is inscribed in a circle of radius 1. An isosceles triangle is inscribed in the square. What is the ratio of the area of this triangle to the area of the shaded region? (Requires Diagram))

Radius = 1, therefore diameter = 2Let x be the length of one side of the square.Using Pythagoras,x² + x² = 2²2x² = 4x = sqrt(2)Area of isosceles triangle = side...

Answered by Thomas H. • Maths tutor

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