Question

Solve the margin of error formula for a meanI need help, literal equation

Answer 1

Step-by-step explanation

We must solve for n the following equation:

`E=Z_c*(\sigma)/(√(n)).`

1) First, we assume n ≠ 0 and multiply both sides by √n, we get:

`\begin{gathered} E*√(n)=Z_c*(\sigma)/(√(n))*√(n), \\ E*√(n)=Z_c*\sigma. \end{gathered}`

2) Now, we divide both sides by E:

`\begin{gathered} (E*√(n))/(E)=(Z_c*\sigma)/(E), \\ √(n)=(Z_c*\sigma)/(E). \end{gathered}`

3) Finally, taking the square on both sides, we get:

`\begin{gathered} (√(n))^2=((Z_c*\sigma)/(E))^2, \\ n=((Z_c\cdot\sigma)/(E))^2. \end{gathered}`Answer
`n=((Z_(c)\sigma)/(E))^(2)`