  (Abridged) We have studied the relationship among nuclear radio and X-ray
power, Bondi rate and the kinetic luminosity of sub-Eddington active galactic
nuclear (AGN) jets. Besides the recently discovered correlation between jet
kinetic and Bondi power, we show that a clear correlation exists also between
Eddington-scaled kinetic power and bolometric luminosity, given by:
Log(L_kin/L_Edd)=0.49*Log(L_bol/L_Edd)-0.78. The measured slope suggests that
these objects are in a radiatively inefficient accretion mode, and has been
used to put stringent constraints on the properties of the accretion flow. We
found no statistically significant correlations between Bondi power and
bolometric AGN luminosity, apart from that induced by their common dependence
on L_kin. Analyzing the relation between kinetic power and radio core
luminosity, we are then able to determine, statistically, both the probability
distribution of the mean jets Lorentz factor, peaking at \Gamma~7, and the
intrinsic relation between kinetic and radio core luminosity, that we estimate
as: Log(L_kin)=0.81*Log(L_R)+11.9, in good agreement with theoretical
predictions of synchrotron jet models. With the aid of these findings,
quantitative assessments of kinetic feedback from supermassive black holes in
the radio mode will be possible based on accurate determinations of the central
engine properties alone. As an example, Sgr A* may follow the correlations of
radio mode AGN, based on its observed radiative output and on estimates of the
accretion rate both at the Bondi radius and in the inner flow. If this is the
case, the SMBH in the Galactic center is the source of ~ 5 times 10^38 ergs/s
of mechanical power, equivalent to about 1.5 supernovae every 10^5 years.
