What is the value of a such that (−2, 1) and (0, a) lie on a line parallel to the line passing through points (5, 7) and (7, 4)?
1 answer:
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Answer: a) (176.76,172.24), b) 0.976.
Step-by-step explanation:
Since we have given that
Mean height = 174.5 cm
Standard deviation = 6.9 cm
n = 50
we need to find the 98% confidence interval.
So, z = 2.326
(a) Construct a 98% confidence interval for the mean height of all college students.
(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 174.5 centime- ters?
Error would be
Hence, a) (176.76,172.24), b) 0.976.
The question is missing the graph. So, it is attached below.
Answer:
(D) 3.2
Step-by-step explanation:
Given:
A graph of height versus width.
The equation given is:
Height = constant × Width
Rewriting in terms of 'constant'. This gives,
------------- (1)
The width is plotted on the X-axis and the corresponding height is plotted on the Y-axis.
The four points plotted on the line are:
.
Now, any point will satisfy equation (1).
Consider the point (0.5, 1.6). So, height = 1.6 and width = 0.5. Therefore,
Also, we observe that for all the remaining points,
.
Hence, the value of the constant is 3.2.
Option (D) is correct.
