Answer:
Step-by-step explanation:
Given that a researcher is trying to decide how many people to survey.
We have confidence intervals are intervals with middle value as the mean and on either side margin of error.
Confidence interval = Mean ± Margin of error
Thus confidence interval width depends on margin of error.
Margin of error = 
Thus for the same confidence level and std deviation we find margin of error is inversely proportional to square root of sample size.
Hence for small n we get wide intervals.
So if sample size = 300, the researcher will get wider confidence interval
1. Rotation by 180° (clockwise or anti-clockwise) about the origin has a rule:
(x,y)→(-x,-y).
Then
(-4,-10)→(4,10).
2. Translation 1 unit to the right has a rule:
(x,y)→(x+1,y).
Then
(4,10)→(5,10).
3. After rotation and translation the image of point (-4,-10) is point (5,10).
Answer: (5,10).
Answer: 90 degrees clockwise
Step-by-step explanation:
The true statement is (c) No; the slopes of segment EF and segment DF are not opposite reciprocals.
<h3>
Right triangles </h3>
Right triangles have a pair of perpendicular lines
Coordinates
The coordinates are given as:
- D = (-2,-1)
- E = (-2,2)
- F = (0,0)
<h3>Slopes</h3>
Start by calculating the slopes of lines DF and EF using:
So, we have:
Also, we have:
For the triangle to be a right triangle, then the calculated slopes must be opposite reciprocals.
i.e.
By comparison, the slopes of both lines are not opposite reciprocals.
Hence, the true statement is (c)
Read more about right triangles at:
brainly.com/question/17972372
