Who appoints the prime minister?

Answer 1

People vote in elections for who they want as the prime minister, although they have to be over the age of 18 to vote in elections.
They are the leader of the party which wins a plurality of the seats in the House of Commons during an election.
The priminister is chosen by a public vote once the contestence have said a speech

Hope that has ansewed your question if it hasn't im sorry but you havent explained it properly

Answer 2

the president appoints the prime minister but only in Egypt and France.