Answer:
1/6 and 16.67
Step-by-step explanation:
Add all the marbles, you get 12.
There's 2 out of 12 yellow marbles so you get 2/12
2/12 simplified to 1/6
So 1/6 is the probability as a fraction
Now to get the percentage just divide 100 by 6.
100/6 equals 16.67
Since it's 1/6 we multiply that by one
16.67 times 1 equals 16.67
The volume of the original cylinder is
... V = π·r²·h
For r=1 and h=1, this is
... V = π·1²·1 = π
For the new cylinder, the volume is 1.089 times that amount.
... V = 1.089π = π·1.1²·(1-k)
... 1.089/1.21 = 1-k
... k = 1 - 1.089/1.21 = 1 - 0.9 = 0.1 = 10%
The appropriate choice is (B) 10.
Answer:
5.5
Step-by-step explanation:
Answer:
-65 is answer if we will solve it then it will be answer
Ranking is very critical in this problem. Therefore, the most applicable mathematical theory is permutations.
Ranking possible for the cellists:
Needed cellists = 5
Total available cellists = 10
Possible number of rankings = 10P5 = 10!/(10-5)! = 30240
Ranking possible for the violinists:
Needed violinists = 5
Total available = 16
Possible number of rankings = 16P5 = 16!/(16-5)! = 524160
Therefore,
Ratio of rankings (cellists to violinists) = 30240/524160 = 3/52