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A newspaper runs a competition in which every entrant guesses an integer between 0 and 100 inclusive, the winner of the competition is the person who's guess is closest to 2/3rds of the average integer guessed, what number do you guess?

If I was helping prepare a student for an oxbridge interview I would begin by reminding them not to rush into the answer, explaining that tutors want to see your logical thinking process, and that rushing...

Answered by Daniel O. Oxbridge Preparation tutor
1170 Views

Explain the difference between a longitudinal and transverse wave.

Imagine we have a wave that is travelling from left to right. This is the wave's direction of motion, or what is sometimes called the direction of "energy propagation". In a transverse wave the ...

Answered by Ross G. Physics tutor
5134 Views

Explain three factors that could lead to an increase in demand for cigarettes.

Demand is the total amount of goods and services that consumers are willing and able to purchase at a given price in a given time period. The Law of Demand states that as the price of a p...

Answered by Jennifer T. Economics tutor
14509 Views

Solve x^2-5x+6=0

To solve this, we need to factorise the expression (write as a product of two brackets). To do this we want to find to numbers that multiply to make +6 and add up to -5, for this case. These numb...

Answered by Samuel P. Maths tutor
5034 Views

Write down the value of 36^0.5

We know that the question is asking us to take the number 36 to the power of 0.5. By assumption 0.5 can be written as 1/2. To take 36 to the power of a 1/2 we take it to the root of the denominator and th...

Answered by Thusikan V. Maths tutor
16943 Views

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