I've heard certain people (particularly folks in the CoC) misinterpret Romans 10:9,10 in such a way that means we can believe unto righteousness today, but are still lost until we confess Christ to others, which may be next week and then we are finally saved next week, but that is not what Paul is talking about here. Also, someone who is mute (unable to speak) would remain lost according to that erroneous interpretation of Romans 10:9,10 for failing to verbally "confess with their mouth."
Confessing with our mouth that Jesus is Lord and believing in our heart that God raised Him from the dead are not two separate steps to salvation but are chronologically together.
Romans 10:8 - But what does it say? "THE WORD IS NEAR YOU, in your mouth and in your heart" (TOGETHER) that is, the word of faith which we are preaching, (notice the reverse order from verse 9-10) - that if you confess with your mouth that Jesus is Lord, and believe in your heart that God raised Him from the dead, you will be saved; 10 for with the heart one believes unto righteousness, and with the mouth confession is made unto salvation. Confess/believe; believe/confess.