  It has been suggested that advection-dominated accretion flows (ADAFs) are
responsible for the X-ray activity in nearby galactic nuclei. These X-ray
bright galactic nuclei (XBGN) are a heterogeneous group which includes LINERs,
low to moderate luminosity Seyferts, and narrow-line X-ray galaxies with 2-10
keV X-ray luminosities in the range ~10**39 to ~10**43 erg/s. In the absence of
a radio jet, the core 15 GHz radio luminosity of an ADAF is relatively low and
roughly proportional to the mass of the central black hole. The predicted radio
luminosity depends primarily on the black hole mass and for XBGN typically
falls in the range 10**35-10**39 erg/s. We designate these as ``radio quiet''
XBGN. However, some level of jet activity seems to be present in most sources
and the radio emission can be considerably larger than that from the ADAF core.
We discuss connections between radio-bright XBGN and radio-loud, powerful
active galactic nuclei (AGN) and suggest that the radio activities are directly
correlated with black hole spins in both cases. Even in the presence of a radio
jet, high resolution, high frequency radio imaging of nearby XBGN could
identify compact, inverted spectrum ADAF radio sources. The unique radio/X-ray
luminosity relation is confirmed in a few cases where black hole masses are
known and could be used as a tool to estimate unknown black hole masses. For
radio-dim (L_<10**39 erg/s), X-ray bright (L_x>10**43 erg/s) sources, which are
primarily Seyferts, the X-ray emission mechanism is not accounted for by pure
ADAFs and radio activities are likely to be similar to those of the radio-quiet
AGN.
