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What is the probability to obtain exactly 2 heads out of 3 tosses of a fair coin?

We will figure out the general question first: if we have n consecutive events with two possible outcomes which we will tell "successes" and "failures" with probabilities p and 1-p, re...

Answered by Stamo G. • Maths tutor

3789 Views

y=20x-x^2-2x^3. Curve has a stationary point at the point M where x=-2. Find the x coordinate of the other stationary point of the curve and the value of the second derivative of both of these point, hence determining their nature.

Differentiate to get dy/dx=20-2x-6x^2Then stationary points occur when dy/dx = 0 so 0 = 20-2x-6x^2 Factorise to get x= -2, x=5/3Differentiate dy/dx to get second derivative = -2-12x at x=5/3 is -22 so max...

Answered by Emily J. • Maths tutor

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How would you find the coordinates of the intersections of a graph with the x and y axes, and the coordinates of any turning points?

Take the graph y = x²- 2x + 5 for example:
In order to find the intersection with the y axis, set the x values in the equation equal to 0 as this is where the graph would cross the y axi...

Answered by Simeon Y. • Maths tutor

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Dan works 5 days a week. Is it cheaper to use car or bus? Bus weekly ticket = £19.50. Car drive is 24.2 miles, car does 32.3 miles per gallon of petrol, which costs £1.27 per litre. Use 1 gallon = 4.5 litres

Work out how many miles Dan does in a week if he drove. 24.2 x 5 = 121Work out how many gallons of petrol this would be. 121/32.3 = 3.746130031Convert into litres. 3.746130031 x 4.5 = 16.85758514Work out ...

Answered by Emily J. • Maths tutor

2941 Views