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natima [27]
3 years ago
10

Reflect 4, 1 in the x-axis

Mathematics
1 answer:
Marysya12 [62]3 years ago
8 0

Hello there,

When you reflect a point over the x-axis the x-coordinate stays the same while the y-coordinate is its opposite.

In the given point (4,1) when it is reflected over the x-axis you would get (4, -1).

Hope I helped,

Amna

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\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

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By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

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\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859

"squared" bits per encoded letter. For a string of length n, we would get \mathrm{Var}[L]=1.859n.

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