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Vlad [161]
3 years ago
12

Find the value of a? Need help ASAP

Mathematics
1 answer:
Neko [114]3 years ago
6 0
Is 9 an answer?
If it is I think 9
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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

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

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

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

so that the variance for the length such a string is

\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.

5 0
3 years ago
Which of the following statements about its area will be true? Please help asap
never [62]

Answer:

the fourth answer

Step-by-step explanation:

this is because 6 x 10 is 60, and is you multiply the height by 3 it gives you 3(6) x 10 which can also be written as 18 x 10 which is equal to 180

divide 180 by 60 which will give you 3, this shows you that the growth from the original area to the new area is 3 times, so the ratio is 3:1

6 0
3 years ago
Read 2 more answers
1. Sally said that when you add or subtract positive or negative decimals, you can change the order of the decimals and still ge
Oduvanchick [21]

can you type the decimals in the comments
7 0
3 years ago
-6.25x + 262.5 = 250
ZanzabumX [31]

Answer:

X=2

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The rules of a game allow a team to score either 2 points or 5 points, depending on the nature of the scoring play. If the final
umka2103 [35]

Answer:

9

Step-by-step explanation:

Given that :

Total Number of scorings (both Teams) = 18

Let :

x = number of 5 point score ; y = number of 2 point score

Total points scored = 34 + 29 = 63

x + y = 18 - - - (1)

5x + 2y = 63 - - (2)

From (1)

y = 18 - x

In (2) ; we have ;

5x + 2(18 - x) = 63

5x + 36 - 2x = 63

3x + 36 = 63

3x = 63 - 36

3x = 27

x = 9

9 5-point plays

3 0
3 years ago
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