Answer:
The sample size needed is 2401.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of  , and a confidence level of
, and a confidence level of  , we have the following confidence interval of proportions.
, we have the following confidence interval of proportions.

In which
z is the zscore that has a pvalue of  .
.
The margin of error of the interval is:

95% confidence level
So  , z is the value of Z that has a pvalue of
, z is the value of Z that has a pvalue of  , so
, so  .
.
Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.
We have to find n, for which M = 0.02.
There is no estimate of p available, so we use 






The sample size needed is 2401.
 
        
                    
             
        
        
        
We are given: Function y=f(x).
First x-intercept of the y=f(x) is 2.
x-intercept is a point on x-axis, where y=0.
Replacing y by 0 and x by 2 in above function, we get 
0=f(2)
Second x-intercept of the y=f(x) is 3.
Replacing y by 0 and x by 2 in above function, we get 
0=f(3)
We are given another function y=8f(x).
Here only function f(x) is being multiplied with 8.
That is y values of function should be multiply by 8.
Because we have y value equals 0. On multiplying 8 by 0 gives 0 again and it would not effect the values of x's.
Therefore, 
x-intercepts of y=8f(x) would remain same, that is 2 and 3.
 
        
             
        
        
        
Step-by-step explanation:
2 /3 of 12 - d
2/3 * 12 - d
8 - d 
 
        
                    
             
        
        
        
Answer:
Infinitely many solutions.
Step-by-step explanation:
4v=6v-2v  Combine like terms.
4v=4v       These are already equal without diving, so there are infinitely many solutions.
Hope this helps and have a nice day ❤