every rational number can be written as a fraction
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)
=> 
Area of the base = 8^2 = 64
area of 1 traingle = 1/2 * 8 * 5.4 = 21.6
there are 4 triangular sides so their area = 4 * 21.6 = 86.4
Total surface area = 64 + 86.4 = 150.4 cm2
D
Answer:slope = -2/3
Explanation:Slope of line can be calculated using the following formula:
slope =

We are given:
point (1,7) representing (x1,y1)
point (10,1) representing (x2,y2)
Substitute with the givens in the above formula to get the slope as follows:
slope =

= -2/3
Hope this helps :)