The conclusions that can be drawn are 3, two of a direct type and the other of an indirect type.
The direct ones are the values. Team A has an average of 68 points per game, which means that it has a good point average and, in the same way, team B, which has an average of 67, which is still a good point average per game.
The hint is the comparison of both teams, and that is that team A is one point above team B, which in terms of points per game makes them better.
13pi/12 lies between pi and 2pi, which means sin(13pi/12) < 0
Recall the double angle identity,
sin^2(x) = (1 - cos(2x))/2
If we let x = 13pi/12, then
sin(13pi/12) = - sqrt[(1 - cos(13pi/6))/2]
where we took the negative square root because we expect a negative value.
Now, because cosine has a period of 2pi, we have
cos(13pi/6) = cos(2pi + pi/6) = cos(pi/6) = sqrt[3]/2
Then
sin(13pi/12) = - sqrt[(1 - sqrt[3]/2)/2]
sin(13pi/12) = - sqrt[2 - sqrt[3]]/2
Answer:
This problem can be solved by working backwards.
Average of 30 students = 70.
Total marks of all the 30 students = 30x70 = 2100
Out of these 30, average of 20 students = 62
Total marks of these 30 students = 30x62 = 1860
So the total marks of the remaining 10 students = 2100-1860 = 240
Hence the average of the remaining 10 students = 240/10 = 24
Answer:
92, 9, and 2
u and v
Step-by-step explanation:
U and V are variables
92, 9 and 2 are all non- variables
