Answer:
130 degrees
Step-by-step explanation:
Ok...we got 250 people
30% are French, 35% are Americans, 20% are Germans....thats 85%.
This means 15% are from other countries
3 not from other countries...
0.85 * 0.85 * 0.85 = 0.6
0.6(250) = 150 students <===
Answer:
We have the equation
Then, the augmented matrix of the system is
We exchange rows 1 and 4 and rows 2 and 3 and obtain the matrix:
This matrix is in echelon form. Then, now we apply backward substitution:
1.
2.
3.
4.
Then the system has unique solution that is and this imply that the vectors are linear independent.
Essentially, we are trying to find the missing constant term of (remember that we are subtracting due to the negative sign in front of the second term). Let's expand this to see what we can work with:
Now, we know the second term is , so let's set the second term in the polynomial we just found equal to :
- Divide both sides of the equation by
- Divide both sides of the equation by 2
We have found . We know the missing constant term is , according to the polynomial we found earlier. Thus, the missing term is:
The missing constant term is 36.