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
1. y < -x - 5......(-3,-4)
2. 5x - 3y < = 15.....all of ur answers satisfy this inequality
Answer:
the answer is 37 because 8 add 8 is 16 and so you would add the price of 8 shorts twice
Answer:
Statement 3
Step-by-step explanation:
<u>Statement 1:</u> For any positive integer n, the square root of n is irrational.
Suppose n = 25 (25 is positive integer), then

Since 5 is rational number, this statement is false.
<u>Statement 2:</u> If n is a positive integer, the square root of n is rational.
Suppose n = 8 (8 is positive integer), then

Since
is irrational number, this statement is false.
<u>Statement 3:</u> If n is a positive integer, the square root of n is rational if and only if n is a perfect square.
If n is a positive integer and square root of n is rational, then n is a perfect square.
If n is a positive integer and n is a perfect square, then square root of n is a rational number.
This statement is true.
Answer:
3m - 5
Step-by-step explanation:
3(m - 3) + 4 Distribute the 3
3m - 9 + 4 Simplify
3m - 5