The expected length of code for one encoded symbol is

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

so that we expect a contribution of

bits to the code per encoded letter. For a string of length
, we would then expect
.
By definition of variance, we have
![\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BL%5D%3DE%5Cleft%5B%28L-E%5BL%5D%29%5E2%5Cright%5D%3DE%5BL%5E2%5D-E%5BL%5D%5E2)
For a string consisting of one letter, we have

so that the variance for the length such a string is

"squared" bits per encoded letter. For a string of length
, we would get
.
Answer is 18 unless u wont it in letters
$13 because Isabella will be awarded $104 making the ratio 1:8
Answer:
Therefore,

Step-by-step explanation:
Given:
In ΔABC, BC=4 cm,
angle b=angle c, and
angle a=20°
To Find:;
AC = ?
Solution:
Triangle sum property:
In a Triangle sum of the measures of all the angles of a triangle is 180°.

We know in a Triangle Sine Rule Says that,
In Δ ABC,

substituting the given values we get


Therefore,

Answer:
3
Step-by-step explanation:
The dilation factor is 3