Answer:
x=1 & y=6 or (1,6)
Step-by-step explanation:
3x-x+5=7 Substitute the 2nd equation in for y
2x+5=7 Do 3x-x to get 2x
2x=2 Subtract 5 from both sides
x=1 Divide 2 from both sides
y=1+5 Insert 1 as x
y=6 Add 1+5 to solve for y
Hope this helped!
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 ![E[L]=1.375n](https://tex.z-dn.net/?f=E%5BL%5D%3D1.375n)
.
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 ![\mathrm{Var}[L]=1.859n](https://tex.z-dn.net/?f=%5Cmathrm%7BVar%7D%5BL%5D%3D1.859n)
.
Answer:
Cylinder Surface Area = (2 • π • r²) + (2 • π • r • height)
Surface Area = (2 * PI * 7^2) + (2*PI*7*22)
Surface Area = 307.8760800518 + 967.6105373057
Surface Area = 1,275.4866173575 Square Inches
Cylinder Volume = π • r² • height
Volume = PI * 7^2 * 22
Volume = 3,386.6368805698 Cubic Inches
Surface Area to Volume = 1,275.4866173575 / 3,386.6368805698 =
0.3766233766
Answer is A
Source: https://www.1728.org/diam.htm
Step-by-step explanation:
Answer:
3X + 3 = 168
3X + 3 - 3 = 168 - 3
3X = 165
3X/3 = 165/3
X = 55
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 168. Therefore, you can write the equation as follows: (X) + (X + 1) + (X + 2) = 168
Answer:
$64.80
Step-by-step explanation:
First, calculate the sales tax
Convert 8% into a decimal
8/100=0.08
Multiply the decimal by the cost of the game
60*0.08=4.8
$4.80 is just the tax, we have to find the total cost
Add the tax and the cost of the game
60+4.80=64.80
So, the total cost is $64.80
Hope this helps! :)
