Sure, let's solve the given equation step-by-step:
Given equation:
[tex]\[ 0.06 = \sqrt{\frac{0.3 \cdot 0.7}{n}} \][/tex]
Step 1: Square both sides of the equation to eliminate the square root:
[tex]\[ (0.06)^2 = \frac{0.3 \cdot 0.7}{n} \][/tex]
Step 2: Calculate the left side of the equation:
[tex]\[ 0.06^2 = 0.0036 \][/tex]
So, we now have:
[tex]\[ 0.0036 = \frac{0.3 \cdot 0.7}{n} \][/tex]
Step 3: Calculate the right side of the equation (the numerator):
[tex]\[ 0.3 \cdot 0.7 = 0.21 \][/tex]
So, the equation becomes:
[tex]\[ 0.0036 = \frac{0.21}{n} \][/tex]
Step 4: Solve for [tex]\( n \)[/tex]:
[tex]\[ n = \frac{0.21}{0.0036} \][/tex]
Step 5: Calculate the value of [tex]\( n \)[/tex]:
[tex]\[ n \approx 58.333333333333336 \][/tex]
Thus, the value of [tex]\( n \)[/tex] is approximately [tex]\( 58.3333 \)[/tex].
This completes the solution.
