To find the thickness of the fingernail, we need to add the thickness of the human hair to the additional thickness provided.
Given:
- Diameter of human hair = \( 4 \times 10^{-3} \) inches
- Additional thickness of the fingernail = \( 0.011 \) inches
First, convert the diameter of the human hair into decimal form:
- \( 4 \times 10^{-3} = 0.004 \) inches
Now, add the thickness of the hair to the thickness of the fingernail: \[ \text{Thickness of the fingernail} = 0.004 + 0.011 = 0.015 \text{ inches} \]
Thus, the thickness of the fingernail is \( \boxed{0.015} \) inches.