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2 years ago

14 x 1 = 14 exemplifies which property

Mathematics

2 answers:

NNADVOKAT [17]2 years ago

7 0

Uhhhhh Multiplication

sergejj [24]2 years ago

6 0

Answer:

multiplicative identity

Step-by-step explanation:

Anything that is divisible by 0 or 1 is called multiplicative identity.

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3 years ago

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

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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

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

so that the variance for the length such a string is

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

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3 years ago

For every 14 ice-cream cones you buy, you get 2 free. How many free ice-cream cones will you get if you buy 56 cones?

Ksenya-84 [330]

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3 years ago

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Reika [66]

Answer:

Step-by-step explanation:

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Tell me if I'm wrong :)

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3 years ago

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