Call the region in the

-

plane, bounded by

and

,

. Then the volume under the given surface is
Answer:
$48.60
Step-by-step explanation:
4 7/5 is a funny way to express a fraction... but anway..... if this is correct, then the answer is as follows:
5/6 kg ------> cost $7.50
1 kg ----> costs $7.50 ÷ 5/6 kg = $9
4 7/5 kg ------> costs $9 x (4 7/5) = $9 x (27/5) = $48.60
Answer:

Step-by-step explanation:

Hope this helps!
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:
168 miles
Step-by-step explanation:
If he uses 5 gallons to drive 140 miles, that means that he can drive 24 miles for every gallon (140/5=24)
7 times 24 is 168 so he can drive 168 miles on 7 gallons of gas