Top row: the same as Figure 3 for the logarithmic, mean-normalized plasma density, ﹩s=\mathrm{log}(\rho /{\rho }_{0})﹩. In the top right panel, we show log-normal models for the density fluctuations for mixed-driving ﹩{ \mathcal M }\approx 4﹩ turbulence without any influence from the CRs (﹩{ \mathcal M }﹩ theory) and with an effect from the CRs by changing the plasma effective sound speed directly from the CR P_c ∝ ρ^4/3 equation of state (﹩{{ \mathcal M }}_{{\rm{eff}}}﹩ theory), showing that the density fluctuations are bounded between these limits. Second row: the parallel components of the Alfvén velocity, ﹩{{\boldsymbol{v}}}_{{\rm{A}},\parallel }={{\boldsymbol{B}}}_{\parallel }/\sqrt{\rho }﹩. Bottom row: the perpendicular components of the Alfvén velocity, ﹩{{\boldsymbol{v}}}_{{\rm{A}},\perp }={{\boldsymbol{B}}}_{\perp }/\sqrt{\rho }﹩. Note: the limits for the x-axis of the rightmost v_A panels have been reduced for better visual comparison between runs in the super-Alfvénic regime.