Question about my Credit score?

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Question about my credit score? I am in the process of renting an apartment. The landlord and I have everythingin order, All she has to do is do I credit report on me. I am farly young(just turned 20) so I dont have very much credit. I pay my rent on time every month, I pay all my bills on time and have never missed a payment (cable, internet, phone) so do you think i will still get the apartment? what do you think? she said if i have good credit then I will get it.