Detection rate as a function of detection limit threshold for our fiducial BHNS population. In the top panel we assume the LVK O4 detectors network, while in the lower panel we assume the LVKI O5 detectors, both with a 70% duty cycle for each detector. The orange and red colors indicate respectively the GRB prompt+GW and the GRB afterglow+GW detectable binaries. In the left panel, the solid line indicates an all-sky field of view with a 100% duty cycle, the dashed and dotted lines account for the Fermi/GBM and Swift/BAT duty cycle and field of view, respectively. In the right panel, the solid, dashed, and dotted lines indicate the radio, optical, and X bands, respectively.