For constants o > 0 and a > 0, the function aoª p(x) xa+1> 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(x) = p(t)dt,

Q: Simplify. 2 [(2₁)4] ² 16;5 Enter your answer in the box.

A:

Q: What would be the notation for the mean of the x values?

A: From the given information, the values are denoted by the variable x.Let us consider the number of…

Q: 30 Find x. A D 18

A: Using phythagoras theorem  (Hypotenuse)² = (base)² + (perpendicular)²

Q: H={74,75,76,...,280} n(H)=

A: We are going to use basic counting principal to find n(H)

Q: Simplify. [(20)²]³ 8i Enter your answer in the box.

A:

Q: Simplify (ex)3. e(9x + 2) to the form e Ax + B) – eº .ex where %3D 21 B= 2 C = 2 D= 21/2 Xくくく

A: To simplify the following expression

Q: 0.5 (x + 7) + 9 = 43

A: Given 0.5 (x + 7) + 9 = 43

Q: Express 0 in each figure in terms of x. (a) 4 0 3= (b)

A: Using the trigonometric ratio  tan θ=PB  tan θ=x4   θ=tan-1 x4

Q: 5|x-4|-7=2

A: Given,

Q: (d.) If x is equal to 25, what is the simplified numeric value of x2 2x5 + + + 2х (Your answer…

A: First simplify the terms then put x = 25

Q: #14 Find the 4 =20 8+0 3o pu

A:

Q: Consider the following. A. y= 13- x|

A:

Q: Find the gradient field F = Vip for the potential function p= 2x +2y for x ≤4 and y ≤ 4. Sketch a…

A: The answer provided below has been developed in a clear step by step manner

Q: 6x + 8 dx. x2 + 5 8. Evaluate

A: Here we have to evaluate I=∫6x+8x2+5dx

Q: Find the reference number for each value of t. (a) t= 57T 6. (b) t=. 77 (c) t= 117T 3 (d) t= -77

A: 1.

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.