3 years ago

A $30 item is on sale for 60% off. It is charged a 6.25% sales tax. What is the final cost? *

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

$12.75

Step-by-step explanation:

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Random variables X Poisson~ ( a) ,Y Poisson ~ ( a) . X and Y are independent. If 2 1, 2 1. U =2X+ Y-1, V=2X- Y +1. Find: ) Cov (

german

By definition of covariance,

$\mathrm{Cov}(U,V)=E[(U-E[U])(V-E[V])]=E[UV-E[U]V-UE[V]+E[U]E[V]]=E[UV]-E[U]E[V]$

Since $U=2X+Y-1$ and $V=2X-Y+1$ , we have

$E[U]=2E[X]+E[Y]-1$

$E[V]=2E[X]-E[Y]+1$

$\implies E[U]E[V]=(2E[X]+E[Y]-1)(2E[X]-(E[Y]-1))=4E[X]^2-(E[Y]-1)^2=4E[X]^2-E[Y]^2+2E[Y]-1$

and

$UV=(2X+Y-1)(2X-(Y-1))=4X^2-(Y-1)^2=4X^2-Y^2+2Y-1$

$\implies E[UV]=4E[X^2]-E[Y^2]+2E[Y]-1$

Putting everything together, we have

$\mathrm{Cov}(U,V)=(4E[X^2]-E[Y^2]+2E[Y]-1)-(4E[X]^2-E[Y]^2+2E[Y]-1)$

$\mathrm{Cov}(U,V)=4(E[X^2]-E[X]^2)-(E[Y^2]-E[Y]^2)$

$\mathrm{Cov}(U,V)=4V[X]-V[Y]=4a-a=\boxed{3a}$

7 0

4 years ago

What is the range of the given function? {(–2, 0), (–4, –3), (2, –9), (0, 5), (–5, 7)}

Delicious77 [7]

{0,-3,-9,5,7}

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4 years ago

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4/3n=2 Solve for n Also, show work

Ghella [55]

Answer:

n=2/3

Step-by-step explanation:

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3 years ago

A rectangular prism has a height of 18 millimeters. The base of the prism has an area of 25 square millimeters.

malfutka [58]

Answer:

volume = 450 mm³

Step-by-step explanation:

Given:

height = 18 mm
area of base = 25 mm²

Volume of a rectangular prism = area of base x height

⇒ volume = 25 x 18 = 450 mm³

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3 years ago

For geometry:( please help, will give brainist!!!

mario62 [17]

Answer:

They cross each other, so perpendicular

Step-by-step explanation:

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