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spin [16.1K]
3 years ago
5

The volume of a sphere is 45001 m3. Find the length of the radius of the great circle.

Mathematics
1 answer:
Scilla [17]3 years ago
6 0

Answer:

\large \boxed{\text{22.07 m}}

Step-by-step explanation:

The formula for the volume (V) of a sphere is:

V = ⁴/₃πr³

We can use this equation to calculate the radius (r).

\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}

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The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either
Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}

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If we multiply, we have:

(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)

Now we have to solve this equations

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We choose one of the equations and solve:

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Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

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3 years ago
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