Final answer:
Maria Anna Mozart was a pianist and composer, not a mathematician or painter. Known as Nannerl, she performed throughout Europe as a child prodigy with her brother Wolfgang Amadeus Mozart.
Step-by-step explanation:
Maria Anna Mozart was known to be a highly talented pianist and a composer. Born in 1751, she was the older sister of Wolfgang Amadeus Mozart, and together they toured Europe as child prodigies. Although Maria Anna (nicknamed Nannerl) was recognized for her musical abilities during her youth, she did not pursue a public career in music as an adult, which was common for women during that time.
Regarding the options provided in the question, Maria Anna Mozart was not a mathematician or painter. Those professions were not part of her known skill set or historical records related to her life. Most of her adult life was dedicated to family and teaching music privately.