Abstract: A hose for connecting a sanitary appliance, such as a lavatory supplied with water, to the distribution network, this connection hose being constituted by a tubular core made of supple elastomeric material, an outer protective sheath formed of braided metallic wire, and two couplings secured at the end of said hose for connection by one end to said appliance and by the other end said distribution network, in which said elastomeric core is prepared according to the following formula:Ethylene propylene copolymer resin: 20 to 30%Paraffin-oil: 20 to 40%Carbon black: 40 to 60%And said sheath is constituted by a braid of strands of stainless steel wires, each strand comprising between 3 and 8 parallel wires, the strands forming intersecting helices, each strand following a line forming an angle comprised between 35.congruent. and 50.degree. with respect to the axis of said hose, the strands surrounding the elastomeric core without discontinuity, ensuring a continuous coating around said elastomeric core.