The product of 36 and 80 is 2880
Answer:
y = 8.5x
Step-by-step explanation:
the amount of money (y)
amount per hour (8.5) times the hours (x)
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
.
9514 1404 393
Answer:
- vertical stretch: the function value (f) is multiplied by the stretch factor
- horizontal stretch: the variable (x) is divided by the stretch factor
Step-by-step explanation:
A stretch can be vertical, horizontal, or both.
Multiplying the function value by a factor greater than 1 will stretch the graph vertically.
Dividing the variable value by a factor greater than 1 will stretch the graph horizontally.
__
The graph is stretched by the factor according to how it is applied.