We are interested in p, the population proportion of all people who are currently happy with their cell phone plans. in a small study done in 2012, it was found that in a sample of 150 people, there were 90 who were happy with their cell phone plans. using the data from this prior study, find the sample size needed to construct a 95% confidence interval for p with a margin of error of 0.025

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Step-by-step explanation:

The formula to find the sample size is given by :_

Given : Significance level :  

Critical value :

The estimated population proportion by using sample :

Margin of error : E=0.025

Now, the required sample size will be :-

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions