Answer:
Systematic-sampling method is the right answer.
Step-by-step explanation:
A method of sampling in which the sample members are selected from a larger population according to a random starting spot but with a fixed, interval, is known as the systematic sampling method.
We can use the systematic sampling method in the given situation. Individual sample members are chosen at regular intervals from the sampling data. We use to chose the intervals to ensure enough sample size. The main advantage of using this method is that it is more convenient and it is easy to administer. The benefit of using this method will be that the number of aspen trees will be sampled from all across the national park.
Answer:
−14.2b+3.36d−216.05
Step-by-step explanation:
collect terms:(−14.2b−97.35)+((6.76d−3.4d)−118.7)
simplify: −14.2b−97.35+3.36d−118.7
terms: −14.2b+3.36d+(−97.35−118.7)
simplify: −14.2b+3.36d−216.05
Answer:
divide 2 into each digit of the larger number
Step-by-step explanation:
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:
Step-by-step explanation:
K=3x+8
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