Using the z-distribution, as we are working with a proportion, it is found that samples of 937 should be taken.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
The margin of error is given by:
In this problem, we have that:
- The estimate is of
.
- The margin of error is of M = 0.03.
- 95% confidence level, hence
, z is the value of Z that has a p-value of 
, so 
.
Then, we solve for n to find the minimum sample size.
Rounding up, it is found that samples of 937 should be taken.
More can be learned about the z-distribution at brainly.com/question/25890103
The length of each of the equal sides is become x = (3y-4) cm
According to the statement
we have given that the perimeter of the isosceles triangle and length of third side. and we have to find the length of same side of triangle.
So,
An isosceles triangle is a triangle that has two sides of equal length.
Let the equal sides of isosceles triangle be x cm each.
We know that the
Sum of sides of a triangle = perimeter
x+x+(3y-7) = 9y-15
2x = 9y-3y-15+7
After solving the equation it become
2x= 6y-8
x=(6y-8)/2
Now the length of equal sides is x=3y-4
So, The length of each of the equal sides is become x = (3y-4) cm
Learn more about isosceles triangle here
brainly.com/question/1475130
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The answer for t is 46.0416
Sn = n(n+1) = 100(101) = 10100
