Answer:
17/9
Step-by-step explanation:
The scaled figure in the right is larger, thus the scale factor is greater than 1.
Answer:
All of them
Step-by-step explanation:
According to the ratio test, for a series ∑aₙ:
If lim(n→∞) |aₙ₊₁ / aₙ| < 1, then ∑aₙ converges.
If lim(n→∞) |aₙ₊₁ / aₙ| > 1, then ∑aₙ diverges.
(I) aₙ = 10 / n!
lim(n→∞) |(10 / (n+1)!) / (10 / n!)|
lim(n→∞) |(10 / (n+1)!) × (n! / 10)|
lim(n→∞) |n! / (n+1)!|
lim(n→∞) |1 / (n+1)|
0 < 1
This series converges.
(II) aₙ = n / 2ⁿ
lim(n→∞) |((n+1) / 2ⁿ⁺¹) / (n / 2ⁿ)|
lim(n→∞) |((n+1) / 2ⁿ⁺¹) × (2ⁿ / n)|
lim(n→∞) |(n+1) / (2n)|
1/2 < 1
This series converges.
(III) aₙ = 1 / (2n)!
lim(n→∞) |(1 / (2(n+1))!) / (1 / (2n)!)|
lim(n→∞) |(1 / (2n+2)!) × (2n)! / 1|
lim(n→∞) |(2n)! / (2n+2)!|
lim(n→∞) |1 / ((2n+2)(2n+1))|
0 < 1
This series converges.
Answer: see table below
<u>Step-by-step explanation:</u>

Simply multiply 0.7 by 100. 0.7 x 100= 70%. The answer is 70%
Answer:
Number of apartment = 9
Step-by-step explanation:
Given the ANOVA result :
ANOVA ____ df ____ SS
Regression __ 1 ___ 41587.1
Residual ____ 7 ___
Total _______ 8 __ 51984.5
Number of apartment building in sample (n) :
Degree of freedom (df) = n - 1
The degree of freedom = total = 8
Hence,
8 = n - 1
8 + 1 = n - 1 + 1
9 = n
Hence, number of apartment building in sample = 9