Female F Connector to Male Coax?

[Semple]

I have a cable from the wall that looks like a Male F Connector:

Spoiler

And on the TV, i believe is a Female Coax:

Spoiler

Should i be able to use an adapter like this?
http://www.amazon.co.uk/kenable-Connector-Socket-Aerial-Adapter/dp/B003OSUU14