There are 2.356 radians in 135 degrees!
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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:
A bad debt ratio of more than 10% is considered high and often is a sign that you are in danger of credit overload. So, I'd $420 is the maximum amount he can spend on credit card payments and loan each month.
Step-by-step explanation:
Let's clear this with an example:
Rafael makes $4,200 a month and let's say he spends $550 on credit card payments and $450 on an loans.
Then, the ratio calculation would be $1000 / $4,200 = 0.24
Multiply that by 100 for a debt-income-ratio of 24%.
In this example, Rafael spends almost a quarter of his income on debt which is considered bad debt in economics.
The recursive formula of h(n) is h(1) = 36 and h(n) = h(n -1) - 5
<h3>How to determine the recursive formula?</h3>
The function is given as:
h(n) = 41- 5n
Calculate h(1) and h(2)
h(1) = 41- 5(1)
h(1) = 36
h(2) = 41- 5(2)
h(2) = 31
Calculate the difference between h(1) and h(2)
d = 31 - 36
d = -5
This means that:
h(1) = 36 and h(n) = h(n -1) - 5
Hence, the recursive formula of h(n) is h(1) = 36 and h(n) = h(n -1) - 5
Read more about recursive formula at:
brainly.com/question/1275192
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