The power that requires a "yes" vote by a simple majority of the senate is

The answer is in the confirmation of appointees. Under the Appointments Clause of the US Constitution, and law of the United States, sure federal positions selected by the president of the United States need confirmation or guidance and agreement of the United States Senate. They must face a sequence of hearings in which both the candidate and other spectators make declarations and respond to questions before the Senate Judiciary Committee, which can elect to refer the recommendation to the United States Senate.

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