'Convinced' in the Bible

The Council (Sanhedrin, Jewish High Court) took his advice; and after summoning the apostles, they flogged them and ordered them not to speak in the name of Jesus, and released them.

Now Paul traveled to Derbe and also to Lystra. A disciple named Timothy was there, the son of a Jewish woman who was a believer [in Christ], however, his father was a Greek.

And when she was baptized, along with her household, she pleaded with us, saying, “If you have judged me and decided that I am faithful to the Lord [a true believer], come to my house and stay.” And she persuaded us.

For [your majesty] the king understands these things, and [therefore] I am also speaking to him with confidence and boldness, since I am convinced that none of these things escape his notice; for this has not been done in a corner [hidden from view, in secret].

Some were persuaded by what he said, but others would not believe.