Answer:
Sequence : 
Rate of change : -3
Step-by-step explanation:
It is given that the sequence represents by the points (1,8), (2,4), (4,1) and (5,0.5).
We know that the 
represent the point (n,k). So, we have
It is clear that the above sequence is a geometric sequence because it has common ratio 
.
First term : 
Common ratio : 
The nth term of a G.P. is
Therefore, the required sequence is .
We need to find the average rate of change from n = 1 to n = 3.
Therefore, the average rate of change from n = 1 to n = 3 is -3.
Answer:
0.000462
Step-by-step explanation:
From the given information:
The cotton count of the piled yarn is the ratio of the simple weight in (g) with the length by the simple length with weight.
Mathematically:
ANSWER
The answer is D
EXPLANATION
Let the exponential function be of the form
Each box on both the x and y axes is one unit.
The graph passes through the point
.
This point must satisfy the equation above.
This implies that,
The function now becomes,
The graph also passes through
We substitute this point too to get,
This implies that,
or
We substitute back to get,
The correct answer is D.
Answer: I believe the standard deviation will remain the same, 6, choice A.
Step-by-step explanation: Standard deviation is calkculated based on the difference of each point from the mean. If 10 were added to each score, the mean would also increase by 10. That would mean that the difference between the mean and each score would be exactly the same, leading to an identical standard deviation. Sounds crazy, but that's what numbers do for a living.
