Final answer:
The cube root of 75 is less than 420%.
Therefore, the correct answer is: option "the cube root of 75 < 420%"
Step-by-step explanation:
To compare the cube root of 75 and 420%, we need to convert 420% to a decimal.
To do this, divide 420 by 100 to get 4.20.
Now, calculate the cube root of 75, which is approximately 4.22.
Comparing the two values, we can see that the cube root of 75 (4.22) is less than 420% (4.20).
So, the correct comparison is: the cube root of 75 < 420%.