Only Statement 2 is surely correct.
because there maybe chances that the line L1 and L3 lies above the line L2 and they can also fulfill the condition of perpendicularity so we can't be sure about statement 3 & statement 1 is clearly incorrect
Answer:
and 
in interval notation.
Step-by-step explanation:
We have been given a compound inequality 
. We are supposed to find the solution of our given inequality.
First of all, we will solve both inequalities separately, then we will combine both solution merging overlapping intervals.
Dividing by negative number, flip the inequality sign:
Dividing by negative number, flip the inequality sign:
Upon merging both intervals, we will get:
Therefore, the solution for our given inequality would be and in interval notation.
Answer:
(a). $35746. (b). Higher.
Step-by-step explanation:
(a). Given that the least-squares regression equation is y = 7163x + 14242. Also, in the question above we are given that y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region, that is to say that the value of x = 30.
Therefore, y = 7163x + 14242.
y = (7163 × 30) + 14242.
y = $35746.
(b). The condition for our x is; 28.7 percent of adults 25 years and older have at least a bachelor's degree.
Then, y = (7163 × 28.7) + 14242.
y = $34814.
Hence, we have the median income in this region = $38,163 HIGHER than $34814.
Multiply the first equation by 4 (so that both equations will have 8x terms) and then subtract:
8x-20y = -24
8x +3y = 68
------------
0 -23y = -92
Now divide both sides by -23:
y = 4
Find x by plugging y=4 into either equation:
8x +3(4) = 68
8x = 68 - 12
8x = 56
x = 7
So the answer is ordered pair is (7,4)
