To find the thickness of a fingernail, we start with the thickness of the hair and the given information.
The diameter of a human hair is approximately:
\[ 4 \times 10^{-3} \text{ inches} \]
The thickness of a fingernail is about 0.011 inches thicker than that of a human hair. Thus, we can calculate the thickness of the fingernail by adding the thickness of the hair to 0.011 inches:
\[ \text{Thickness of fingernail} = \text{Thickness of hair} + 0.011 \]
Substituting the values:
\[ \text{Thickness of fingernail} = 4 \times 10^{-3} + 0.011 \]
First, we need to convert \(4 \times 10^{-3}\) to decimal form:
\[ 4 \times 10^{-3} = 0.004 \]
Now we can add this to 0.011:
\[ 0.004 + 0.011 = 0.015 \]
Therefore, the thickness of a fingernail is approximately:
\[ \text{Thickness of fingernail} = 0.015 \text{ inches} \]
When rounded to three decimal places, the thickness of a fingernail is:
\[ \boxed{0.015} \]