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3 years ago

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Mathematics

1 answer:

pochemuha3 years ago

6 0

Answer:

Step-by-step explanation:

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Kelly makes fruit juice each morning. She uses 2 1/3 pints of strawberries and 1 2/5 pins of grapes in her juice how many more p

son4ous [18]

14/15 :))))))))))))))

8 0

3 years ago

Is 8 greater than —12

Lena [83]

Answer: yes

Step-by-step explanation: Because the negative 12 is on the left of the zero it will always be smaller than any number greater than zero.

5 0

3 years ago

Escribe el número que tenga el mismo valor que 28 decenas

adoni [48]

Answer:

280

Step-by-step explanation:

<u><em>The question in English is</em></u>

Write the number that has the same value as 28 tens

we know that

One tens is equal to the number 10

To find out the value of 28 tens, multiply the number 28 by 10

$28(10)=280$

6 0

3 years ago

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 me and Thank you

astra-53 [7]

Answer:

Step-by-step explanation:

The answer is C

3 0

2 years ago

Read 2 more answers