The formula for a rectangle is length*width=area. Since we know the area and the width, we plug it in to the formula, we get length*9=648.
l*9=648 is equivalent to l=648/9. Now we solve <span>l=648/9 and get l=72. SO the width is 72 inches. </span>
a. Only a Hamiltonian path
One such path is
1 → 2 → 0 → 4 → 3
which satisfies the requirement that each vertex is visited exactly once.
There is no Hamiltonian circuit, however, since it is impossible for any Hamiltonian path on this graph to visit vertex 0 exactly once.
Answer:
![Var(X) = E(X^2) -[E(X)]^2 = 4.97 -(1.61)^2 =2.3779](https://tex.z-dn.net/?f=%20Var%28X%29%20%3D%20E%28X%5E2%29%20-%5BE%28X%29%5D%5E2%20%3D%204.97%20-%281.61%29%5E2%20%3D2.3779)
And the deviation would be:
Step-by-step explanation:
For this case we have the following distribution given:
X 0 1 2 3 4 5 6
P(X) 0.3 0.25 0.2 0.12 0.07 0.04 0.02
For this case we need to find first the expected value given by:
And replacing we got:
Now we can find the second moment given by:
And replacing we got:
And the variance would be given by:
And the deviation would be:
Answer:
A)$2.50 x b = total cost
B) 9 x 2.50 = $22.5
C) 50 x $2.50 = $125 - $14.75 = $110.25
Answer:
X=-5y/13+90/13, Y=-13x/5+18
Step-by-step explanation:
You need to solve the equation for X and Y.
Solving for X:
13x+5y=90
Subtract 5y: 13x=-5y+90
Divide by 13: x=-5y/13+90/13
--
For Y:
13x+5y=90
Subtract 13x: 5y=-13x+90
Divide by 5: y=-13x/5+90/5
(Simplifies to -13x/5+18)
