noun
the quality of being trusted and believed in
adjective
credible (related to credibility)
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The scientist's credibility was called into question after his research methods were scrutinized.
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I trust her because she has a lot of credibility in this field.
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You gotta build up your street cred if you want any credibility around here.
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His credibility as a leader was shattered when he was caught lying to his team.