Final Answer:
5% of 95 is 4.75 smaller than 75% of 6 which is 4.5.
So. the correct option is False.
Step-by-step explanation:
The provided mathematical expression can be analyzed in two parts: the calculation of 5% of 95 and 75% of 6. Firstly computing 5% of 95 yields 4.75 which is the value representing 5 percent of 95. On the other hand, calculating 75% of 6 results in 4.5 signifying 75 percent of 6.
When comparing these two values, it becomes evident that 4.75 (5% of 95) is not larger than 4.5 (75% of 6). Therefore the statement 5% of 95 is larger than 75% of 6 is false.
This discrepancy arises from the fact that the percentage is relative to the total value in each case. Even though 5% seems like a smaller portion compared to 75%, the initial total values, 95 and 6, significantly influence the outcome.
In this context the larger total of 95 in the 5% calculation does not compensate enough to make it surpass 75% of the smaller total 6.
In summary the comparison of percentages involves not only the percentage itself but also the base or total value it is a percentage of. In this scenario the final analysis demonstrates that 5% of 95 is in fact not larger than 75% of 6.
So. the correct option is False.