A painter can paint 3 walls in one hour. Which graph models a relationship with the same unit rate?
1 answer:
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Answer:
The value of is
Step-by-step explanation:
We want to evaluate .
The base of this logarithm is and the number is
.
We need to express the number as the base
raised to a certain index.
This implies that,
Recall now that,
.
We apply this property to obtain,
Recall again that,
.This implies that,
The correct answer is C.
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