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volocibel
07.10.2019 •
Mathematics
Identify the sequence graphed below and the average rate of change from n = 0 to n = 2.
coordinate plane showing the point 1, 10, point 2, 5, and point 4, 1.25
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Ответ:
5/10=1/2, And this sequence can be expressed as:
a(n)=10(1/2)^(n-1) So the term when n=0 would be 20
The average rate of change is just the change in y divided by the change in x, in this case:
(20-5)/(2-0)
7.5
Ответ:
The sequence is:
and the average rate of change from n=0 to n=2 is:
-7.5
Step-by-step explanation:We are given the points as:
(1,10), (2,5) and (4,1.25)
Clearly after looking the point we see that these point follow a geometric sequence.
Since with the increase in x-value by 1 unit there is a decrease in the y-value by a factor of 1/2
Let the points be denoted by:![(n,a_n)](/tpl/images/0295/7660/de6bd.png)
Hence, we have the sequence as:
Since, when x=n=1 we have:
Similarly we can check the other points as well
When x=n=0
we have:
Now, the average rate of change from n=0 to n=2 is calculated as:
Hence, Rate= -7.5
Ответ:
The standard deviation of the sampling distribution is 0.0110
Step-by-step explanation:
The standard deviation of the sampling distribution is given by :-
, where p = population proportion and n = sample size.
Let
denote the proportion in the sample who say they support the increase.
As per given :
Then , the standard deviation of the sampling distribution is
Hence, the standard deviation of the sampling distribution is 0.0110.