1,200 prompts matching "Structured question: composite function with a restricted domain"
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Worked Example: The moment of a force about a point on its own line of action
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Explain Back: The units of a moment, and why they are newton metres
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Worked Example: The total moment of three parallel forces about one end
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Explain Back: Locating the point of concurrence on a diagram
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Practice: Resolving three forces in two perpendicular directions
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Explain Back: A particle hanging from two strings set at different angles
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Worked Example: Matching each force to the sine of the angle opposite it
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Explain Back: A probability distribution table for a discrete random variable
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Worked Example: Finding a particular term of a binomial expansion
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Practice: Using a binomial expansion to approximate a number
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Explain Back: The binomial probability formula
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Practice: The probability of at least one success
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Practice: The probability of exactly r events in a Poisson distribution
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Worked Example: The probability of no events at all in a Poisson distribution
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Practice: The variance of a binomial distribution as npq
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Explain Back: Finding n and p from a given mean and variance
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Explain Back: Testing whether data are Poisson by comparing mean and variance
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Explain Back: Converting a value to a z-score
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Worked Example: Finding a value from a given probability by working backwards
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Practice: Using the normal tables when the z-score is negative
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