Question: A school district located in western Nassau County on Long Island, in New York State serves what hamlet with a population of 4,295 at the 2010 census?

Context paragraphs:
Grand Central Parkway: The Grand Central Parkway (GCP) is a 14.61-mile (23.51 km) long parkway that stretches from the Triborough Bridge in New York City to Nassau County on Long Island.  At the Queens–Nassau border, it becomes the Northern State Parkway, which runs across the northern part of Long Island through Nassau County and into Suffolk County, where it ends in Hauppauge.  The westernmost stretch (from the Triborough Bridge to exit 4) also carries a short stretch of Interstate 278 (I-278).  The parkway runs through Queens and passes the Cross Island Parkway, Long Island Expressway, LaGuardia Airport and Citi Field, home of the New York Mets.  The parkway is designated New York State Route 907M (NY 907M), an unsigned reference route.  Despite its name, the Grand Central Parkway was not named after Grand Central Terminal.

Herricks Union Free School District: The Herricks Union Free School District is a school district located in western Nassau County on Long Island, in New York State.  The district lies within the Greater New Hyde Park area and serves a number of communities including Herricks, Garden City Park, Manhasset Hills, Searingtown, North Hills, Williston Park and Albertson.

New York State Route 25C: New York State Route 25C (NY 25C) was an east–west state highway on Long Island in New York in the United States.  The route began in Queens at an intersection with NY 25 and paralleled NY 25B for just over 4 mi before ending at a junction with NY 25B in western Nassau County.  NY 25C was assigned in the 1930s and removed in 1970.  Part of the route's former routing is still state-maintained as New York State Route 900F, an unsigned reference route.

New York State Route 25D: New York State Route 25D (NY 25D) was a state highway located on Long Island in the U.S. state of New York.  It was originally the designation of Horace Harding Boulevard, Nassau Boulevard, and Powerhouse Road, the route of which the Long Island Expressway (Interstate 495) took over as it was constructed in the 1950s.  The NY 25D designation along the LIE was replaced by NY 24 upon the completion of the expressway through Queens and western Nassau County in 1958.

New York State Route 108: New York State Route 108 (NY 108) is a 1.72 mi north–south state highway located on the Suffolk County side of the Suffolk–Nassau county line on Long Island, New York, in the United States.  It is a spur route connecting NY 25A in Cold Spring Harbor to the Cold Spring Harbor station on the Long Island Rail Road's Port Jefferson Branch via Harbor Road.  Harbor Road terminates at an intersection with Woodbury Road, on the Nassau County line, which carries County Route 11 to the east and unsigned County Route 12 to the west.  NY 108, assigned in the early 1930s, is the shortest state highway on Long Island.

New York State Route 114: New York State Route 114 (NY 114) is a state highway on the far eastern sections of Long Island in New York in the United States.  It serves as a connector between the two "forks" of Long Island, crossing Shelter Island in the process.  This is the only connection between the North and South forks east of Riverhead.  NY 114 is the easternmost signed north–south state route in all of New York.  Additionally, the route is the last in a series of sequential state routes on Long Island.  The series begins with NY 101 in western Nassau County and progresses eastward to NY 114.

Sewanhaka Central High School District: The Sewanhaka Central High School District is a central high school district located in western Nassau County on Long Island, in New York State.  The district is currently composed of five high schools: Sewanhaka High School, Elmont Memorial High School, New Hyde Park Memorial High School, Floral Park Memorial High School, and H. Frank Carey Junior-Senior High School.

Jericho, New York: Jericho is a hamlet and census-designated place (CDP) in Nassau County, New York on the North Shore of Long Island.  As of the United States 2010 Census, the CDP population was 13,567.  The area is served by the Jericho Union Free School District and the Syosset Central School District, the boundaries of which differ somewhat from those of the hamlet.  The boundaries of the Jericho Post Office vary from both the hamlet and the school district boundaries, notably the inclusion of a portion of Jericho in the Westbury zip code, and the inclusion of a portion of Syosset in the Jericho zip code.  Also, Jericho is located approximately 29 miles (47 km) east of Midtown Manhattan.  Direct service is available by driving west on the Long Island Expressway or one can take the Long Island Rail Road from nearby Hicksville or Syosset train station.

Salisbury, Nassau County, New York: Salisbury is a hamlet and census-designated place (CDP) in Nassau County, New York, United States.  The population was 12,093 at the 2010 census.  Many [William Levitt|Levitt]] style homes lie adjacent to Eisenhower Park, formerly Salisbury Park.  Although sometimes referred to by realtors as "South Westbury", Salisbury is located in the Town of Hempstead, but located in the Westbury postal zone, served by the Westbury Railroad Station of the Long Island Railroad, shares fire districts with Westbury and East Meadow, and is within the East Meadow School District.  The hamlet is 90% residential, with strip malls along Old Country Road and Carmen Avenue.  There is a single house of worship, a Conservative Jewish synagogue.  Most residents attend religious services in Westbury-proper.  Nassau County Medical Center is nearby in East Meadow

Herricks, New York: Herricks is a hamlet and census-designated place (CDP) in Nassau County, New York, United States.  The population was 4,295 at the 2010 census.

Supporting paragraphs: Herricks Union Free School District Herricks, New York
Answer: Herricks