The costs and expenses of the investigations provided in NRS 176.415 to 176.475, inclusive, must be borne by the State and paid in the following manner: The costs and expenses of an investigation must first be paid by county warrants drawn upon the order of the district judge. The county clerk shall then present a claim to the State Board of Examiners for the amount of such costs and expenses so ordered paid by the district judge. Upon approval of the claim by the State Board of Examiners, the State Controller shall draw a warrant for the payment thereof, and the State Treasurer shall pay the same from the Reserve for Statutory Contingency Account.