Answer:
Z: n = 1 P: n =80
Step-by-step explanation:
cross multiple what you can and divide it by the last number left to find n
Answer:
X = 5°
Step-by-step explanation:
180° on a straight line.
180 - 100 = 80 angle ABC = 80°
angle ACB is vertically opposite to the 60° given
ACB = 60°
180 - 80 - 60 = 7x+5
40 = 7x + 5
7x = 35
X = 5
-6 (negative six) is the 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
Answer:
1728
Step-by-step explanation:
There are 12 numbers that can be used for the first number; 12 for the second number; and 12 for the third number. This means there are a total of
12(12)(12) = 1728 combinations.