Answer:
The answer is A.
Step-by-step explanation:
A sample space is the list of all possible outcomes. Only answer A displays all of them. In B, 2 wins/loss combinations are not possible if you play three games. The same goes for C and 4 win/loss combinations. While D has some possible outcomes, it does not list them all.
The keyword is "sum" which tells you x, y, and z are being added. One half of the sum means that the sum of the three numbers is going to be divided by 2.
x + y + z
------------
2
Literally whatever number is in the parenthesis, if it’s negative like -4 then you could down 4 lines of squares and put a dot. if it’s positive then go up
Answer:
9 mph
Step-by-step explanation:
-let x be the speed of current and t be time. The speed equation for both directions can then be represented as:
![Speed=\frac{Distance}{Time}\\\\\#Upstream\\(u-6)t=9\\\\\#Donwstream\\\\(u+6)t=45](https://tex.z-dn.net/?f=Speed%3D%5Cfrac%7BDistance%7D%7BTime%7D%5C%5C%5C%5C%5C%23Upstream%5C%5C%28u-6%29t%3D9%5C%5C%5C%5C%5C%23Donwstream%5C%5C%5C%5C%28u%2B6%29t%3D45)
#Since t is equal in both, we can do away with t.
#We the divide the downstream equation by the upstream equation as:
![\frac{u+6}{u-6}=\frac{45}{9}\\\\(u+6)=5(u-6)\\\\u+6=5u-30\\\\4u=36\\\\u=9](https://tex.z-dn.net/?f=%5Cfrac%7Bu%2B6%7D%7Bu-6%7D%3D%5Cfrac%7B45%7D%7B9%7D%5C%5C%5C%5C%28u%2B6%29%3D5%28u-6%29%5C%5C%5C%5Cu%2B6%3D5u-30%5C%5C%5C%5C4u%3D36%5C%5C%5C%5Cu%3D9)
Hence, the boat's speed in still water is 9 mph