Complete Question
A survey is planned to estimate the proportion of voters who support a proposed gun control law. The estimate should be within a margin of error of 
with 99 %confidence, and we do not have any prior knowledge about the proportion who might support the law. How many people need to be included in the sample?
Answer:
The value is 
Step-by-step explanation:
From the question we are told that
The margin of error is 
From the question we are told the confidence level is 99% , hence the level of significance is
=> 
Generally from the normal distribution table the critical value of 
is
Here we will assume that the sample proportion of those who support a proposed gun control law to be 
because from the question they do not have any prior knowledge about the proportion who might support the law
Generally the sample size is mathematically represented as
![n = [\frac{Z_{\frac{\alpha }{2} }}{E} ]^2 * \^ p (1 - \^ p )](https://tex.z-dn.net/?f=n%20%3D%20%5B%5Cfrac%7BZ_%7B%5Cfrac%7B%5Calpha%20%7D%7B2%7D%20%7D%7D%7BE%7D%20%5D%5E2%20%2A%20%5C%5E%20p%20%281%20-%20%5C%5E%20p%20%29%20)
=>
<span>0.64
2/3 = 0.67
65% = 0.65
7/10 = 0.70
answer
</span>Order from least to greatest: 0.64, 65%, 2/3 and 7/10
In the given figure, we are given with two lines which are parallel to each other. We are also given with two lines which forms a triangle and also forms as a transversal lines to the parallel lines. We are also given that the given triangle is an isosceles triangle. So, we can say that the other angle in the triangle also measures 75°.
Now, let's find the value of the ∠x.
We know that the alternate angles in the parallel line always measures the same as the one which is in it's alternate side. So,
Now, let's find the value of the ∠z.
We know that, all the angles in a triangle always adds up to 180°. In the given triangle, we are given with two angles, so we can easily find the third angle.
Now, let's find the value of the ∠y.
We know that all the angles that forms a straight line always equals up to 180° (or) the the straight line angle always measures 180°. So, we can find the value of the ∠y by this concept.
Therefore,
- The value of the ∠x is 75°.
- The value of the ∠y is 75°.
- The value of the ∠z is 30°.
5 and 3 would be alternate Interior angles. Or 4 and 6. Because they are in between line L and line M,making them interior and they are on opposite sides of the middle line, making them alternate.
