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What is the probability of picking a red ball twice from a bag of 6 blue balls and 3 red balls, without replacement.

The probability of picking a ball from a bag is the number of balls of that colour divided by the total number of balls. Therefore in the first instance, the probability of a red ball is 3/9 or 1/3rd. If tha...
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Answered by Toby F. • Maths tutor
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If a bag contains 6 green balls and 3 red balls, what the probability of picking out 2 red, with and without replacement.

For the first ball the probability we pick a red ball is the same, it's the number of red balls divided by the total number of balls. Which in this case is 3/9. If we replace the balls the chance of picking ...
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Answered by Toby F. • Maths tutor
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Find where the curve 2x^2 + xy + y^2 = 14 has stationary points

d/dx (xy) = x dy/dx + y d/dx (y^2) = 2y dy/dx [This is from the chain rule] So, d/dx (2x^2 + xy + y^2 = 14) => 4x + x dy/dx + y + 2y dy/dx = 0 set dy/dx = 0 as stationary point has gradient 0 Obtains 4x+y...
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Answered by Matthew H. • Maths tutor
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Explain what a determiner is and highlight its two different forms.

It is a word that introduces a noun. e.g. The dog lay on the mat. Definite= the, Indefinite= a/an
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A hot air balloon is travelling at a speed of 5.0m/s at an angle of 60.0 degrees up from the horizontal. Find the vertical and horizontal components.

The diagram would have the following: An arrow pointing upwards labeled v(y) An arrow pointing to the right labeled v(x) An arrow pointing in between those lines with a degree between this one and the right ...
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Answered by Marta B. • Physics tutor
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