For constants o > 0 and a > 0, the function aoª p(æ) = xa+1³ where x > 0, is called a Pareto distribution. It is often used in modeling the distribution of incomes or wealth in a population. In the income interpretation, the function P(r) – | p(t)dt

Q: R E Given: m BE = 36 тве Y L LEYL is a right angle M LEYR = 77

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Q: 36x12. -1. Provide appropriate 6x6 –1 (b) Find the least integer n such that f(x) is O(x") for ƒ(x)…

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Q: I am stuck. What do i do after Pr(Z<3.07) - Pr (z<1.76) Here is the problem. I saw an example…

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Q: P(|X|>1.3)

A: In statistics, the t-distribution is a probability distribution that arises in hypothesis testing…

Q: 5) Evaluate F dr where F(r, y) = ry i + j, , r(t) = ti+ 3t j, 1<t<4 %3D

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Q: 5.) Evaluate f(-3) for f(x) = x³ +3x + 17

A: Given  f(x) =x3+3x+17

Q: The function f(n) = 0.0007n² + 1000n +5 is O O(nlogn) O O(n) O 0(1) O O(n²)

A: Here, f(n) = 0.0007 n^2 + 1000 n + 5

Q: 43x - Let h(x) x + 8 Evaluate h(6): h(6) = Determine x when h(x) = 8

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Q: What is the least upper bound of the real interval (2, 6)?

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Q: For any integer n > 1 find, Hint: Substitute x + √x² + 1 = = U 1 So " (x + √x² +1)″

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Q: 3/4(8y-9)&lt;3

A: We multiply both sides by 4 first.

Q: What is the smallest integer a where f(x)=2x is always greater than g(x)=x2 for all x>a?

A: Given  : f(x) = 2x is always greater than g(x)=x2 for all x &gt; a  Implise that :  2x &gt; x2

Q: A17 Let Xx² (99). What is Var(X)? Answer to A17:

A: X~chi square (99) We have to find var(X)

Magnitude

A vector is an element with both direction and magnitude. A vector is represented using an arrow, where the arrow represents the direction of the vector and its length is represented using the magnitude. The set of vectors in space is known as vector space. The vectors can be added, subtracted, multiplied, and divided in a vector space. The image below shows a vector AB.