3 (2x + 1) = 21
6x + 3= 21
-3 -3
6x = 18
Divide each side by 6, and x equals 3.
3 (2(3) + 1) = 21
3 (6 + 1) = 21
18 + 3 = 21
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Using the concept of correlation, it is found that a strong positive correlation is expected between these two variables.
- When two variables are direct proportional, that is, both increase together, there is a <em>strong positive correlation.</em>
In this problem, <u>the older the car</u>, the more it should have traveled, that is, the <u>higher the read on the odometer</u>, hence, there is a <em>direct proportional</em> relationship, which means that the variables have a strong positive correlation.
A similar problem is given at brainly.com/question/15468813
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Answer: (13.4996, 32.5004)
Step-by-step explanation:
The confidence interval for mean difference is given by :-
,
where
= sample mean difference .
= critical t value (two-tailed)
SE= Standard error.
Given :

SE= 4.2
Now, the confidence interval for mean difference will be :-
Hence, the required confidence interval : (13.4996, 32.5004)
Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB = 
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) = 
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.