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VashaNatasha [74]
3 years ago
14

Help me please....

Mathematics
1 answer:
nlexa [21]3 years ago
4 0
A=x(1000-2x)
A=1000x-2x²
take the first derivative of A and set equal to zero
A'=1000-4x
1000-4x=0
4x=1000
x=250
the paddock should be 250 by 500
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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]

a.

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}

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\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}

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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}

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\approx\boxed{0.012262}

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3 years ago
Which is the most appropriate to describe a quantity decreasing at a steady rate
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Which is the most appropriate to describe a quantity decreasing at a steady rate?

With a linear equation.

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