Final answer:
The specific timeline for the Committee to report approvals to a Judge of the Court is not detailed in the provided information. The excerpts focus on the broader procedure of the Court and the judicial nomination process.
Step-by-step explanation:
The question seeks information regarding the time frame within which the Committee must report their approvals to one of the Judges of the Supreme Court.
Typically, after oral arguments are concluded, the Justices of the Supreme Court convene in private conferences to discuss and decide on cases. However, specific timelines with regards to the reporting of approvals by the Committee to a Judge are not outlined in the provided references. The Constitution mentions that federal judges, including Justices, are nominated by the President and confirmed by the Senate. The discussions in conferences are meant to reach a decision on cases heard, and once a decision is made, the majority opinion is written by the Chief Justice or assigned to another justice in the majority.
The actual process of reporting approvals does not seem to be explicitly defined within these excerpts, which focus more on the procedures of the Court and the confirmation of judges rather than specific administrative protocols.