Cook the rice vermicelli according to the package directions.
Drain and rinse with cold water, and set aside.
In a large pan, heat peanut oil on medium-high heat.
Add shrimp and cook until pink, about 2-3 minutes on each side.
Remove shrimp from the pan and set aside.
Soak one spring roll wrapper in warm water until it softens.
Lay it flat on a damp cutting board.
Place a small handful of vermicelli, a few shrimp, carrot, cucumber, cilantro, and mint in the center.
Fold the sides over the filling, then carefully roll the wrapper tightly to form a spring roll.
Repeat with remaining ingredients.
For the dipping sauce, mix fish sauce, sugar, garlic, lime juice, and hoisin sauce in a small bowl.