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If Tom flips a coin 3 times, what is the probability the result are heads, heads, heads, or tails,heads, tails? (assuming we have a fair coin)

This question can be solved using a tree diagram. First we need to map out the two possible outcomes from the question: H=heads T= tails. The first scenario is HHH, as the probability of H each time is 1/2 w...
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Answered by Ross B. • Maths tutor
4904 Views

Write 0.38 as a percentage and as fraction.

38% and 38/100.
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Answered by Lauren F. • Maths tutor
4549 Views

How do I show that (cos^4x - sin^4x) / cos^2x = 1 - tan^2x

Start with the LHS: (cos^4x - sin^4x) / cos^2x Recognise the difference of two squares on the top line, which simplifies to (cos^2x - sin^2x)(cos^2x + sin^2x): (cos^2x - sin^2x)(cos^2x + sin^2x) / cos^2x Bec...
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Answered by Jack M. • Maths tutor
20329 Views

£3000 is invested for 2 years at 3.8% per annum compound interest. What is the total interest earned over the 2 years?

We can use the following formula: Amount after n years' compound interest = Initial amount x (1 + r) n r = The interest rate in decimal form. n = Number of years. Simply plug the values into our formula: £30...
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Answered by Arisera T. • Maths tutor
10250 Views

Farmer Joe has a rectangular pen to hold his animals. The pen’s length is 5 meters longer than the width. The pen’s area is 84 meters. Find it’s width.

Step 1 define the variables: L stands for the length, W stands for the width Step 2 write what we know algebraically: Since the length is 5 meters longer than the width we have L = W + 5. Finally, the area i...
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Answered by Omar B. • Maths tutor
3479 Views