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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It is 36%, because a percent is defined as a part to a whole, so in this scenario the part is the number of votes for maria and the whole is the number of kids in the class, so if we put it into fraction form we'll 9/25, which can be increased to 36/100 or you can input it into a calculator and convert to percent form
C = Pi * d where C = circumference, d = diameter, r = radius
C = 2*pi *r
we need to watch the units since they are different
Pool A
C = 2 * pi * r
C = 2 * pi * 12 = 24 * pi in feet
Pool B
C = pi * d
change meters to feet
7.5 m * 3.28 ft/ 1 m = 24.6 ft
C = pi * 24.6 = 24.6* pi in ft
Pool B had a greater circumference
24.6 * pi > 24 pi
X +(1/x) = -0.5 has no real solutions.
There are no real numbers that meet your requirements.
_____
The two complex numbers that meet your requirement are
-1/4 +i√(15/16), -1/4 -i√(15/16)