Answer:
The maximum variance is 250.
Step-by-step explanation:
Consider the provided function.
Differentiate the above function as shown:
The double derivative of the provided function is:
To find maximum variance set first derivative equal to 0.
The double derivative of the function at is less than 0.
Therefore, is a point of maximum.
Thus the maximum variance is:
Hence, the maximum variance is 250.
There are several ways you can solve this problem if you're trying to solve for m and n. You can substitute, or systems of equations. However, I'm going to use substitution:
2m + n = 0 => n = -2m
We can input that in for the other equation:
m + 2n = 3 now becomes: m + 2(-2m) = 3
Now we can solve:
m + 2(−2m) = 3
m + −4m = 3
(m + −4m) = 3 (Combine Like Terms)
−3m=3
m = -1
Now we can input that value in to solve for n:
We said that n = -2m, and m = -1, so n = -2(-1):Answer:
n = 2
Your final answer is m = -1, and n = 2, which can also be written as (m,n) = (-1,2)
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However, if you were solving for m+n:
You would add the two equations!:
2m + n = 0
m + 2n = 3
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3m + 3n = 3
Now, you can take 3 common:
3(m+n) = 3
m + n = 1
Your final answer for what m + n equals 1!
Answer:
57
Step-by-step explanation:
7-3=4
3x4=12/3=4
do that two times because there is two triangles
7x7=49
4+4+49=57
12 girls out of 30 were selected, so the ratio "selected:tried" if 12/30. This fraction can be simplified into
Similarly, 16 boys out of 40 were selected, so the ratio "selected:tried" if 16/40. This fraction can be simplified into
So yes, the ratio of the number of students on the team to the number of students trying out the same for both boys and girls
Answer:
x=4
x=17.9
Step-by-step explanation:
For the first diagram.
cos(45°)=x/4√2
x=4√2cos(45°)
x=4
For the second diagram
tan(38°)=14/x
0.781=14/x
x=14/0.781=17.9
