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3 years ago

12598 round to the nearest thousand

Mathematics

2 answers:

matrenka [14]3 years ago

8 0

12598 rounded is 13000

MakcuM [25]3 years ago

5 0

12598 rounded to the nearest thousands is 1260

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Suppose X, Y, and Z are random variables with the joint density function f(x, y, z) = Ce−(0.5x + 0.2y + 0.1z) if x ≥ 0, y ≥ 0, z

kompoz [17]

$f_{X,Y,Z}(x,y,z)=\begin{cases}Ce^{-(0.5x+0.2y+0.1z)}&\text{for }x\ge0,y\ge0,z\ge0\\0&\text{otherwise}\end{cases}$

is a proper joint density function if, over its support, $f$ is non-negative and the integral of $f$ is 1. The first condition is easily met as long as $C\ge0$ . To meet the second condition, we require

$\displaystyle\int_0^\infty\int_0^\infty\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz=100C=1\implies \boxed{C=0.01}$

b. Find the marginal joint density of $X$ and $Y$ by integrating the joint density with respect to $z$ :

$f_{X,Y}(x,y)=\displaystyle\int_0^\infty f_{X,Y,Z}(x,y,z)\,\mathrm dz=0.01e^{-(0.5x+0.2y)}\int_0^\infty e^{-0.1z}\,\mathrm dz$

$\implies f_{X,Y}(x,y)=\begin{cases}0.1e^{-(0.5x+0.2y)}&\text{for }x\ge0,y\ge0\\0&\text{otherwise}\end{cases}$

Then

$\displaystyle P(X\le1.375,Y\le1.5)=\int_0^{1.5}\int_0^{1.375}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy$

$\approx\boxed{0.12886}$

c. This probability can be found by simply integrating the joint density:

$\displaystyle P(X\le1.375,Y\le1.5,Z\le1)=\int_0^1\int_0^{1.5}\int_0^{1.375}f_{X,Y,Z}(x,y,z)\,\mathrm dx\,\mathrm dy\,\mathrm dz$

$\approx\boxed{0.012262}$

7 0

3 years ago

Please help and show work!! EVENS ONLY!! I'm really stuck!! Will mark brainliest!!

IgorLugansk [536]

Here ya go with work shows

8 0

3 years ago

What is 265409 rounded to the nearest hundred thousand

zubka84 [21]

The answer to your question is 300,000

6 0

3 years ago

I need to know the answer to this please ASAP

Ghella [55]

Y = x - 1
because the gradient is 1 and the y-intercept is -1

5 0

3 years ago

In a triangle, find the value of the remote exterior angle given the remote interior angles are 27 and 53 degrees

GenaCL600 [577]

Answer:

80°

Step-by-step explanation:

exterior angle = sum of two remote interior angles

27 + 53 = 80

5 0

3 years ago