Answer:
5 times more books
Step-by-step explanation:
In total Marisol has 75 books. She has 5 times as many books and Jerry has 15. 5*15=75
Answer:
x = 80
Step-by-step explanation:
Combine − 3/5x and 7/20x to get -19/20x.
Then combine -19/20x and 1/4x and you get -7/10x.
Then you multiply both sides by -10/7 which is the reciprocal of -7/10.
Make -56(-10) one fraction.
Multiply -56 and -10 and you get 560.
Then divide 560 by 7 to get 80.
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:
-10
Step-by-step explanation:
The constant is the part of the algebraic function or expression that does not change. In this case, as x changes, the constant -10 does not. Thus, -10 is the constant.
Answer:

Step-by-step explanation:
See Attachment for Complete Question
From the attachment, we can see that F is plotted at

On the x axis, G is 3 units to the left;
And on the y axis, G is 2 units above
So, the coordinates of G is calculated as:


Hence:
<em>G is plotted at (2,6)</em>