Answer:
No, these triangles cannot lie on the same line.
Step-by-step explanation:
For two triangles to lie on the same line they must have the same slope.
The slope of the bigger triangle is

and the slope of the smaller triangle is

slopes are negative because the triangles are leaning to the left.
We see that the slopes of the two triangles are not the same; therefore, they cannot lie on the same line.
It means that the two vectors are perpendicular or orthogonal
Using the z-distribution, it is found that:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
<h3>What is the z-distribution confidence interval?</h3>
The confidence interval is:

In which:
is the difference between the population means.
In this problem, we have a 95% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate and the standard error are given by:

Hence the bounds of the interval are given by:


1.74 is outside the interval, hence:
- The 95% confidence interval is of -1.38 to 1.38.
- The value of the sample mean difference is of 1.74, which falls outside the 95% confidence interval.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ2
Average of eight minutes and twenty seconds to travel from the sun to the earth