Answer:
Hence, the set that represent a negative linear association between x and y is:
Set A.
Step-by-step explanation:
We are given 4 sets of data as:
Set A
x 1 2 3 4 5 6 7 8 9
y 10 9 8 7 6 5 4 3 2
Set B
x 1 2 3 4 5 6 7 8 9
y 3 4 5 6 7 8 9 10 11
Set C
x 1 2 3 4 5 6 7 8 9
y 8 6 5 4 3.5 3 2.5 2 2
Set D
x 1 2 3 4 5 6 7 8 9
y 1 2.5 2.5 3 4 5 6 8 9
We are asked to determine the set which represent negative linear association between x and y?
Clearly in Set B and Set D the values of y keeps on increasing as the value of x increases; hence they both represent a positive linear association between x and y.
In set C the relationship is non-linear though it is negative.
Clearly in Set A we could see that the the y is related to x as:
y=11-x or y= -x+11.
Hence, clearly we could see that the relationship is linear and also negative as the value of y keeps on decreasing with increasing x.
Answer:
The following graph has no solution.
Step-by-step explanation:
Since , we are given a system of inequalities as:
x+y>4
and x+y<3
So from the two in equalities we could clearly see that in one the sum of x+y>4 while in the other the sun x+y<3 which is not possible.
This could also be seen from the graph.
The graph will not have any common region and are parallel lines.
Hence, the graph has no solution.
we know that a₁ = 1, and aₙ = aₙ₋₁ + 2, is another way of saying, we add 2 to get the next term, namely, 2 is the common difference.
![\bf n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=1\\ d=2\\ n=7 \end{cases} \\\\\\ a_7=1+(7-1)2\implies a_7=1+12\implies a_7=13](https://tex.z-dn.net/?f=%5Cbf%20n%5E%7Bth%7D%5Ctextit%7B%20term%20of%20an%20arithmetic%20sequence%7D%0A%5C%5C%5C%5C%0Aa_n%3Da_1%2B%28n-1%29d%5Cqquad%0A%5Cbegin%7Bcases%7D%0An%3Dn%5E%7Bth%7D%5C%20term%5C%5C%0Aa_1%3D%5Ctextit%7Bfirst%20term%27s%20value%7D%5C%5C%0Ad%3D%5Ctextit%7Bcommon%20difference%7D%5C%5C%5B-0.5em%5D%0A%5Chrulefill%5C%5C%0Aa_1%3D1%5C%5C%0Ad%3D2%5C%5C%0An%3D7%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%5C%5C%0Aa_7%3D1%2B%287-1%292%5Cimplies%20a_7%3D1%2B12%5Cimplies%20a_7%3D13)
Answer: if rounded like 68 18/100%
Step-by-step explanation: