Answer:
3x = 14
Step-by-step explanation:
Add the two equations.
5x + (-2x) = 3x
(-y) + y = 0
6 + 8 = 14
3x = 14.
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 4, 9) and (x₂, y₂ ) = (3, 5)
m =
=
= - 
Answer:
see below
Step-by-step explanation:
The graph extends to the left more or less horizontally, approaching the line y=3. The only choice that expresses that is the third one.
Answer:
Step-by-step explanation:
Given that X is uniform in the interval (0,A)
X is continuous since it represents the distance
A fire station is to be located along a road of length A, A < q. If fires occur at points uniformly chosen on (0, A), we should find where the station be located so as to minimize the expected distance from the fire
Distance can be taken as absolute values here as either side is the same.
E(|x-a|] is to be minimum
E(|x-a|)=E(x-a) for 0<x<a
=E(a-x), for a<x<A
Using integral we find this value


Using calculus we find that f" is positive so when f' =0 we get solution
f'(a) =0 gives

Hence fire station to be located at the mid point of 0 and A