Broadcom BCM43142 - cant connect to wifi network in live session

[mk63]

I can see in synaptic manager installed packages:
broadcom-sta-common
broadcom-sta-source

after:
sudo modprobe wl

there is no loaded modules wl in....

I dont want install Sparky to hd until I try it in live session especially the  wifi connection.
Could someone help me?
Thanks in advance.

edit:
my hp stream 13 has only wifi adaper.
I cant open driver device manager in live session to look if the broadcom drivers are loaded for the wifi adapter.

[pavroo]

The module doesn't work out of the box.
It needs packages to be installed (other internet connection needed):

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sudo apt update
sudo apt-get install linux-headers-amd64 build-essential dkms broadcom-sta-modules
amd64 or 686-pae or 686 suffix
then:

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sudo apt install wireless-bcm43142-dkms
then try:

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sudo modprobe wl