C. Multiple each side by 4 and you get the radius as 2 and the center at 0,0.
![S=\{\varnothing,d,\{d\},\{\{d\}\},\{\{\{d\}\}\}\}=\{v,w,x,y,z\}](https://tex.z-dn.net/?f=S%3D%5C%7B%5Cvarnothing%2Cd%2C%5C%7Bd%5C%7D%2C%5C%7B%5C%7Bd%5C%7D%5C%7D%2C%5C%7B%5C%7B%5C%7Bd%5C%7D%5C%7D%5C%7D%5C%7D%3D%5C%7Bv%2Cw%2Cx%2Cy%2Cz%5C%7D)
A set containing
![n](https://tex.z-dn.net/?f=n)
elements has a power set containing
![2^n](https://tex.z-dn.net/?f=2%5En)
elements; here,
![|S|=5](https://tex.z-dn.net/?f=%7CS%7C%3D5)
so
![|\mathscr P(S)|=2^5=32](https://tex.z-dn.net/?f=%7C%5Cmathscr%20P%28S%29%7C%3D2%5E5%3D32)
.
The elements of the power set are all possible combinations of up to 5 of the total 5 elements to choose from:
0 choices (1):
![v](https://tex.z-dn.net/?f=v)
(since
![v=\varnothing](https://tex.z-dn.net/?f=v%3D%5Cvarnothing)
)
1choice (5):
![\{v\},\{w\},\{x\},\{y\},\{z\}](https://tex.z-dn.net/?f=%5C%7Bv%5C%7D%2C%5C%7Bw%5C%7D%2C%5C%7Bx%5C%7D%2C%5C%7By%5C%7D%2C%5C%7Bz%5C%7D)
2 choices (10):
![\{v,w\},\{v,x\},\{v,y\},\{v,z\},\{w,x\},\{w,y\},\{w,z\},\{x,y\},\{x,z\},\{y,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%5C%7D%2C%5C%7Bv%2Cx%5C%7D%2C%5C%7Bv%2Cy%5C%7D%2C%5C%7Bv%2Cz%5C%7D%2C%5C%7Bw%2Cx%5C%7D%2C%5C%7Bw%2Cy%5C%7D%2C%5C%7Bw%2Cz%5C%7D%2C%5C%7Bx%2Cy%5C%7D%2C%5C%7Bx%2Cz%5C%7D%2C%5C%7By%2Cz%5C%7D)
3 choices (10):
![\{v,w,x\},\{v,w,y\},\{v,w,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%2Cx%5C%7D%2C%5C%7Bv%2Cw%2Cy%5C%7D%2C%5C%7Bv%2Cw%2Cz%5C%7D)
and so on
4 choices (5);
![\{v,w,x,y\},\{v,w,x,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%2Cx%2Cy%5C%7D%2C%5C%7Bv%2Cw%2Cx%2Cz%5C%7D)
and so on
5 choices (1):
![\{v,w,x,y,z\}](https://tex.z-dn.net/?f=%5C%7Bv%2Cw%2Cx%2Cy%2Cz%5C%7D)
(1 + 5 + 10 + 10 + 5 + 1 = 32)
Answer:
8(3x+8y)
Step-by-step explanation:
Answer:
Option B
Step-by-step explanation:
the mean is the sum of each value of P(x) multiply for x
Mean= 23x0.16 + 25x0.09 + (26x0.18) + (31x0.12)+ (34x0.24) + (38x0.21)
Mean= 30.47
The problem is using a right triangle, it means we can use the Pythagorean theorem in solving the problem. We have two possible measurements for the third side.
First length, when the third side is the hypotenuse:
x ² = 15² + 12²
x = 19.21
Second possible length, when the third leg is either an adjacent or base side:
15² = x² + 12²
x = 9
Therefore, the difference between the two possible answers are shown below:
Difference = 19.21 - 9 = 10.21