Answer:
¿Eres estudiosa?
Step-by-step explanation:
To translate "¿Are you studious?" into Spanish, we need to figure out 1) what verb is being used, 2) what conjugation we need of that verb, and 3) what the adjective's gender is.
1) "Are" is a form of the verb "to be", which in Spanish (for this context) is ser.
2) The person being addressed is "you", so we can conjugate ser in the tú form of the present indicative tense: Eres
(Note: we could also use 'usted' form)
3) The adjective "studious" is estudioso in Spanish, and the gender of the person being addressed is given as female, so we can change the final letter of that word from o to a, giving us estudiosa.
Finally, we can put those pieces of the sentence together to get:
¿Eres estudiosa?