Answer:
Hi .. im happy to help
answer is 0.033
Step-by-step explanation:
P = C(4,4)÷C(10,4)
P = 1 ÷ 30
p = 0.033
A plane can fly 260 miles downwind in the same amount of time as it can travel 170 miles upwind. Find the velocity of the wind i
1 answer:
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Answer:
The fourth-order polynomial that passes through the points is
Step-by-step explanation:
A fourth-order polynomial has this general form:
We need to replace the given points one by one, which leads to a system of 5 equations and 5 variables (namely a,b,c,d,e)
We can rewrite this system as follows:
We can use the Gaussian Elimination to solve this system of equations. To use the Gaussian Elimination we need to express the system of linear equations in matrix form (the matrix equation Ax = b).
The coefficient matrix (A) for the above system is
the variable matrix (x) is
and the constant matrix (b) is
The augmented matrix for this system, it is obtained by appending the columns of the coefficient matrix and the constant matrix.
The augmented matrix can be transformed by a sequence of elementary row operations to the reduced row echelon form.
Therefore the solutions are:
And the polynomial P(x) is:
We can check our solution plotting the polynomial and checking that it passes through the points.
