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3 years ago

13

Jon and Lexi are playing a marble game. According to their rules, 6 points are awarded for each red marble collected and 2 point

s are awarded for each blue marble collected. Which expression represents Jon's total score if he has r red marbles and b blue marbles? (1 point)

1 answer:

MAXImum [283]3 years ago

5 0

The expression would be 6r + 2b.

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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

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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 $\mathrm{Var}[L]=1.859n$ .

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uysha [10]

Answer: The answer is B. 34

Step-by-step explanation:

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2 years ago

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Evaluate 150 + 3p for p = 30

LiRa [457]

150+3p

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3 years ago

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son4ous [18]

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Step-by-step explanation:

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