DB calculation

can someone please explain this question and give me the answer:

A receiver has a noise factor of 10db and it is proposed to improve its sensitivity by adding a preamplifier of 3db noise factor and a 10db power gain. To what extent will the receiver performance improve if the effective noise temperature of the receiver aerial is:
(1) 290k
(2)58K
andrewwismithAsked:
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aburrConnect With a Mentor Commented:
“explain this question”

A receiver has a noise factor of 10db and it is proposed to improve its sensitivity by adding a preamplifier of 3db noise factor and a 10db power gain. To what extent will the receiver performance improve if the effective noise temperature of the receiver aerial is:
(1) 290k
(2)58K

There is no reason to add a preamplifier to a receiving system if the preamp picks up just as much noise from the antenna as the receiver.
To do this problem you have to know what is a “noise factor” and what is meant by “effective noise temperature”.
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d-glitchCommented:
You are asking for a lot help with a homework question.
You can't get answers, but you may be able to get some help.

For a start:  What are the relevent equations?
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andrewwismithAuthor Commented:
noise factor was 290K
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