Answer:
The first occurence of t for which x = 0 is t = 0.5.
Step-by-step explanation:
The harmonic motion is described by the following equation.
What is the first occurrence of a value of t for which x = 0?
This is t when 
. So
The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.
The first occurence of t for which x = 0 is t = 0.5.
The number of tests that it would take for the probability of committing at least one type I error to be at least 0.7 is 118 .
In the question ,
it is given that ,
the probability of committing at least , type I error is = 0.7
we have to find the number of tests ,
let the number of test be n ,
the above mentioned situation can be written as
1 - P(no type I error is committed) ≥ P(at least type I error is committed)
which is written as ,
1 - (1 - 0.01)ⁿ ≥ 0.7
-(0.99)ⁿ ≥ 0.7 - 1
(0.99)ⁿ ≤ 0.3
On further simplification ,
we get ,
n ≈ 118 .
Therefore , the number of tests are 118 .
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8*(1/x) = 4*(1/8)
8/x = 4/8
64 = 4x
x = 16
