The angles X, of a tree blowing from the vertical, are distributed
1 answer:
Using the uniform distribution, it is found that there is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
<h3>What is the uniform probability distribution?</h3>It is a distribution with two bounds, a and b, in which each outcome is equally as likely.
The probability of finding a value above x is:
In this problem, the bounds are a = 3 and b = 13, hence:
There is a 0.9 probability that the tree's angle, from the vertical, will be greater than 4 degrees.
More can be learned about the uniform distribution at brainly.com/question/13889040
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Answer:
108 th term is zero
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 99 and a₉₉ = 9 then
a₁ + 8d = 99 → (1)
a₁ + 98d = 9 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 90d = - 90
90d = - 90 ( divide both sides by 90 )
d = - 1
Substitute d = - 1 into (1) for value of a₁
a₁ + 8(- 1) = 99
a₁ - 8 = 99 ( add 8 to both sides )
a₁ = 107
Then
107 - (n - 1) = 0
107 - n + 1 = 0
- n + 108 = 0 ( subtract 108 from both sides )
- n = - 108 ( multiply both sides by - 1 )
n = 108
The 108th term is zero