A dolphin show is scheduled to start at 9:00 A.M., 9:30 A.M., and 10:00 A.M. Once the show starts, the gate will be closed. A visitor will arrive at the gate at a time uniformly distributed between 8:30 A.M. and 10:00 A.M. Determine a) The cumulative distribution function of the time (in minutes) between 8:30 A.M. and arrival. F(x) = || ? Edit for 0 < x < 90 b) The mean and variance of the distribution. Мean %3 minutes Variance = minutes? c) The probability that a visitor waits less than 16 minutes for a show. i

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A: Given,

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A: Solve the given problem.

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A: Given f(x)=x2+9, g(x)=-4x+2 f(g(x))=f(-4x+2)=(-4x+2)2+9=16x2+4-16x+9 =16x2-16x+13 (f-g)(x)=…

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A: Use of mathematics in real life

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.