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Questions and Answers
What is the Pythagorean theorem and how is it used in mathematics?
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. It is used to find the length of one side of a right-angled triangle when the lengths of the other two sides are known.
Explain the concept of probability and provide an example of its application in everyday life.
Probability is the measure of the likelihood of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. An example of its application in everyday life is when predicting the chance of winning a lottery or flipping a coin.
Define the term 'function' in mathematics and provide an example of a function.
In mathematics, a function is a relation between a set of inputs and a set of outputs, where each input is associated with exactly one output. An example of a function is f(x) = 2x, where the input x is multiplied by 2 to give the output.
