Answer:
Find the limit of the function by using direct substitution. limit as x approaches zero of quantity x squared minus six.
2 answers:
You might be interested in
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
Answer:
400 ping pong balls
Step-by-step explanation:
Let the total number of ping pong balls =x
Out of x ping pong balls, 80 are marked with a blue dot
Out of 80 ping pong balls, 16 are marked with a blue dot.
Expressing it as a ratio:
x:80=80:16
There are an estimate of 400 ping pong balls in the container.