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There are n sweets in a bag, 6 of which are orange. If the probablility of eating 2 orange sweets from the bag, one after the other, is 1/3, show that n^2 - n - 90 = 0. State any assumptions made.

We are assuming that the sweets are selected at random. The question says that the sweets are eaten, so we are also assuming that they aren't put back into the bag. The total probability of selecting the two...
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Answered by James B. • Maths tutor
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Give an example of a real-world system that would be described by a quadratic equation. Explain the significance of the two real roots, a repeated root, and undefined roots. Is there any significance to a positive or a negative answer in your example?

For a ball that has been thrown, it's height above the ground can be described by a quadratic equation of the time since it was thrown and gives a parabola. The two real roots of the equation are the times w...
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Answered by James B. • Maths tutor
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What is the role of the nucleus?

The nucleus is the most important organelle of the cell and acts like a blueprint for how all the cells in your body function. The nucleus also acts as a vault to hold the DNA securely. The main function of ...
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Answered by Ameliya D. • Biology tutor
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Assess how important government policies, other than taxation, are to a business when deciding where to locate its operations. (12)

Government policies primarily affecting business consist largely of decisions affecting market regulation and public spending. For some businesses, higher than average levels of regulation are likely to be a...
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Answered by Todd O. • Economics tutor
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How would go about finding the set of values of x for which x+4 > 4 / (x+1)?

Whenever you see a problem involving an inequality (greater than or less than sign) it is really important to pause for a second before you go breaking any rules of mathematics. Inequalities do not always be...
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