Problem 4 A confidence interval for uniform distributions Let X1,..., X, be i.i.d. uniform random variables in [0, 0), for some 0 > 0. Denote by M, = max X;. i=1,..,n 1. Prove that Mn converges in probability to 0.

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A:

Q: -4) 12x+30= 3xー12

A: we first distribute the equation, Then combine like term on same side.

Q: y" + 49y = 0 %3D

A: Given the differential equation y" + 49y = 0 The auxiliary equation is m2 + 49 = 0

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A:

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A: Solution:

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Q: Please solve the last 2 parts as well please from the above equation

A: This question can be solved using the concept of derivatives.

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A: Given:

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A: Bernoulli differential equation

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A:

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A: Given 3sin2x-5tanx=4

Q: Solve equation. Give the exact solution. Answer should be as a comma-separated list) 3x^2+3x = 1/9

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Q: solve for x 8/x+1 - 3/2= 6/3x+3

A: Given,

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A: Simplification

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Q: Solve 15(−1t+2)^2+13(−1t+2)+2=0

A:

Q: xamine your t-test score in the paired samples t-test table. Is the p value significant? State in…

A: Given : Wit 99 degree of freedom, the T-statistic score = 20.259

Q: Just solve the third one. The other two are right

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Q: Solve for x

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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.