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3 years ago

I need your help pls help me I make u big brain\

Mathematics

1 answer:

anyanavicka [17]3 years ago

4 0

4 or d object is moving away at an increasing speed

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[this is urgent]Based on the triangle below, JK Is Included between angles:

Afina-wow [57]

Answer:

J and L

Step-by-step explanation:

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3 years ago

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(4.0), (1,3)<br> Write in slope intercept form with steps

maxonik [38]

Slope:0
y-intercept: (0,5.2)

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3 years ago

Eight more than twice a number is equal to ten less than five times the number. Let n represent the number. Write an equation th

solniwko [45]

The answer is 8+2n=5n-10

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3 years ago

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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:

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

$\approx\boxed{0.012262}$

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3 years ago

The Hu family goes out for lunch, and the price of the meal is $59. The sales tax on the meal is 7%, and the family also leaves

Setler79 [48]

$71.98 is the total cost for the meal
59.00
+ 4.13
+ 8.85
======
71.98

7 0

3 years ago