Use the given data to find the minimum sample size required to estimate a population proportion or percentage. Margin of error 0.03: confidence level 95%; and unknown

1067

Explanation:

The formula that will be used to calculate the sample size if population proportion isn't given is expressed as;

Sample size n = |Z|² × 0.25/E² where;

Z is the z-score at 95% confidence

E is the margin of error

Given parameters

Z score at 95% confidence interval = 1.96

E = 0.03

Substituting the given values into the formula to get the sample size n we will have;

n = 1.96²×0.25/0.03²

n = 3.8416×0.25/0.0009

n = 0.9604/0.0009

n = 1067.11

n ≈ 1067

Hence, the minimum sample size required to estimate a population proportion is approximately 1067

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

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step-by-step explanation: