Triangle ABC is rotated clockwise about the origin through 90°. The resulting triangle is then
1 answer:
When a shape is rotated, it must be rotated through a point.
The vertices of the triangle would remain unchanged after both transformations
Assume the coordinates of triangle ABC is (x,y).
The first rotation is 90 degrees clockwise rotation.
The rule of this transformation is:
Next, the triangle is rotated 270 degrees clockwise.
The rule of this transformation is:
So, we have:
Hence, the vertices of the triangle would remain unchanged after both transformations
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Answer:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is:
A confidence interval has two bounds, the lower and the upper
Lower bound:
Upper bound:
In this problem, we have that:
Lower bound:
Upper bound:
The 95% confidence interval for the percent of all coffee drinkers who would say they are addicted to coffee is between 21% and 31%.