Answer:
The given sequence 6, 7, 13, 20, ... is a recursive sequence
Step-by-step explanation:
As the given sequence is
- It cannot be an arithmetic sequence as the common difference between two consecutive terms in not constant.
As
, 
As d is not same. Hence, it cannot be an arithmetic sequence.
- It also cannot be a geometrical sequence and exponential sequence.
It cannot be geometric sequence as the common ratio between two consecutive terms in not constant.
As
, 
, 
As r is not same, Hence, it cannot be a geometric sequence or exponential sequence. As exponential sequence and geometric sequence are basically the same thing.
So, if we carefully observe, we can determine that:
- The given sequence 6, 7, 13, 20, ... is a recursive sequence.
Please have a close look that each term is being created by adding the preceding two terms.
For example, the sequence is generated by starting from 1.
and
for n > 1.
<em>Keywords: sequence, arithmetic sequence, geometric sequence, exponential sequence</em>
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Answer:
a) the expected number of tweets with no reaction is 71 tweets
b) the variance is 20.59 tweets² ( ≈ 21 tweets )and the standard deviation is
4.537 tweets (≈ 5 tweets)
Step-by-step explanation:
we can use the binomial probability distribution
P(x, N, p ) = N!/[(N-x)!x!] * p^x * (1-p)^(N-x)
where
x = number of successful events
N = population total
p = probability for success for every individual and independent event
P = probability for x successful events
in our case p = 71% = 71/100 (probability of a tweet without reaction) , N = 100 tweets
a) the expected number of tweets
E(x) = N* p = 100 tweets * 71/100 = 71 tweets
b) the variance is
V(x) = N * p * (1-p)
V = 100 * 71/100 * (1-71/100) = 71* 29/100 = 20.59 tweets² ( units of variance are [N²] )
the standard deviation is
s = √V = √20.59 tweets² = 4.537 tweets
I believe the correct answer from the choices listed above is option A. Given a segment with endpoints A and B and the steps given above, the figure that you can construct would be a perpendicular bisector. <span>The </span>perpendicular bisector<span> of a line segment can be constructed using a compass by drawing circles centered at and with radius and connecting their two intersections.</span>
Answer: 0.0001
It is unlikely to have a month with no aircraft accidents .
Step-by-step explanation:
Given : Mean number of aircraft accidents = 9 per month
The Poisson distribution formula :-
, where 
is the mean of the distribution.
If X = the number of aircraft accidents per month, then the probability that in a month, there will be no aircraft accidents will be :-
Hence, the probability that in a month, there will be no aircraft accidents = 0.0001
Since this is less than 0.5 , therefor it is unlikely to have a month with no aircraft accidents .
