Answer:
It is b
Step-by-step explanation:
Answer:
Option B) (-1,7,5) is correct.
The solution to the given system of equation is (-1,7,5)
Step-by-step explanation:
Given system of equations are



To find the solution of the given system of equations by using Elimination method:
Now adding equations (1) and (2)


_________________

________________


(since "-" getting cancelled)
Now adding equations (1) and (3)


_________________

________________



Now adding equations (4) and (5)


_________________

________________

Therefore y=7
Substituting y=7 in equation (4)




Therefore x=-1
Now substituting the values x=-1 and y=7 in equation (1) we get




Therefore z=5
Therefore the solution to the given system of equation is (-1,7,5)
Therefore Option B) (-1,7,5) is correct.
Answer:
a
The average cost is 
b
The standard deviation of cost is
Step-by-step explanation:
From the question we are told that




The cost of replacing the two component is C = 50 + 2 X + 4 Y
The variance of X is mathematically represented as
V(X) =
Substituting values
![V[X] = 24 - 4^2](https://tex.z-dn.net/?f=V%5BX%5D%20%3D%20%2024%20-%204%5E2)
![V[X] =8](https://tex.z-dn.net/?f=V%5BX%5D%20%3D8)
The variance of Y is mathematically represented as
V(Y) =
Substituting values
![V[Y] = 8 - 2^2](https://tex.z-dn.net/?f=V%5BY%5D%20%3D%20%208%20-%202%5E2)
![V[X] =4](https://tex.z-dn.net/?f=V%5BX%5D%20%3D4)
The average of replacing the two component is

substituting value


The variance of replacing the two component is
Note: The variance of constant is zero
and X and Y are independent
=> 
substituting values
=>
=>
=> 
The standard deviation is
substituting values
True.....a polygon will always have the same number of angles and sides. ex: a triangle has 3 sides and 3 angles, a Pentagon has 5 sides and 5 angles, a square has 4 sides and 4 angles...etc.
Answer:
Step-by-step explanation:
A remote interior angle is one that shares only 1 leg with the exterior angle. Every triangle has 2 remote interior angles for each exterior angle.
<1 is a remote interior angle
81 is 1 remote interior angle
127 is an exterior angle
<1 + 81 = 127 Subtract 81 from both sides
<1 = 127 - 81
<1 = 46