Answer:
=-43
Step-by-step explanation:
=(5)(−4)−23
=−20−23
=−43
Answer: 18
Step-by-step explanation:
The formula to find the minimum sample size is given by :_
, where 
= population standard deviation.
z*= critical z-value.
E= Margin of error.
Given : 
E= ± 8
We know that critical value corresponding to 99% confidence level = z*=2.576 [Using z-table]
Then, the required sample size would be :
[Round to next integer.]
Hence, the required minimum sample size = 18
Answer:
Option B.
Step-by-step explanation:
Option A. "The line constructed through point P that is parallel to line B."
Since parallel lines never intersect each other, a line intersecting line AB at point P will not be parallel.
Therefore, Option (A) is incorrect.
Option (B). "The line constructed through point P that is perpendicular to line AB."
Since the angle between line AB and a line constructed through point P has been given as 90°, line through point P will be perpendicular to AB.
Therefore, Option (B) is the answer.
Option C. "The line constructed through point P that intersects line AB at two different points."
Since, two perpendicular lines intersect each other at only one point, the line constructed from point P will not intersect line AB at two different points.
Therefore, Option C is not correct.
