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There are 20 sweets in a bag, 5 are white and 15 are black. What is the probability that a sweet chosen at random will be white?

5 out of the 20 sweets in the bag are white. This could be written as 5/20. This is the probability. However, this can be simplified to 1/4 'one quarter' or 0.25.

Answered by Toby D. • Maths tutor

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Integrate the function f(x)=lnx

This question must be attempted by integration by parts since it cannot be integrated outright and we can thus change the integral to 1 times lnx. We can then use the formula for integration by parts of I...

Answered by Srikant S. • Maths tutor

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What is 12x^6 / 7 divided by 4x^2 / 5 ?

When dividing fractions, the first step is to change the division symbol to a multiplication symbol and flip the fraction that we are dividing by which gives us 12x⁶ / 7 multiplied by 5 / 4x

Answered by Juliette R. • Maths tutor

3641 Views

How do I integrate ∫ xcos^2(x) dx ?

First, recall that when integrating, squared trigonometric functions often cause issues. Therefore, use the identity: cos^2(x) = (cos(2x) + 1)/2 to remove this power, giving the integral: ∫ (xcos(2x))/2 ...

Answered by Stephi S. • Maths tutor

22916 Views

Solve the simultaneous equation: 2x + y = 5, 3x + 4y = 10

So the aim of simultaneous equations like this, are to figure out the value of x and y. The first thing you have to decide is which one to figure out first. You have to make both 'x' values or both 'y' va...

Answered by Rachael J. • Maths tutor

7956 Views