Answer:
Step-by-step explanation:
first it is about to delete your question and A. is 46 B. is 37
Answer:
The series converges.
Step-by-step explanation:
According to the alternating series test:
For a series ∑(-1)ⁿ aₙ or ∑(-1)ⁿ⁺¹ aₙ
If lim(n→∞) aₙ = 0
and aₙ is decreasing,
then the series converges.
aₙ = n² / (n³ + 1)
Since the power of the numerator is less than the power of the denominator, lim(n→∞) aₙ = 0.
Since n² / (n³ + 1) > (n+1)² / ((n+1)³ + 1), the series is decreasing. (We could also prove this by showing that the derivative is negative.)
Therefore, the series converges.
<span>If 75% of the students had taken 8 courses, 25% had not. Of these remaining 25%, 60% of them (or 60% of 25% = 15%) had taken 6 or 7 courses. Thus 90% (75% + 15%) of the students had taken 6, 7 or 8 courses.
Thus only 10% had taken less than 6 courses. I hope this helps.
</span>
Answer:
57,120.00
Step-by-step explanation:
i think this is the answer but im not 100% sure sry luv