Generally speaking a mixed economy is one where the government has controls over private industry through various types of regulations. One example is the setting of the minimum wage. For the most part a mixed economy does not require the government to actually own any of the means of production. Also, a mixed economy creates "authorities" to operate tunnels, bridges and airports.
Provide vital
The United States is a free enterprise system.
You would need to list the countries for us to respond to your question. The first sentence here is correct. However, when speaking about centrally controlled economies it worth mentioning whether the economy is planned by force or by a recognized system where voters have a say via the ballot box such as in Great Britain. Also, should we assume that a free market economy is also based on the ballot box. Generally speaking, a free market, has a minimum of government control.
In summary, more details and names of countries is needed here.
The Canadian economy would be characterized as diverse with an emphasis on natural resources, manufacturing and construction industries, and service industries.
Mixed, but on the side of free market