Rotate the rectangle 90° clockwise about the origin.
1 answer:
The coordinates of the new rectangle formed after transformation are; A'(3, -1); B'(6, -1); C'(6, 4); D'(3, 4)
<h3>How to carry out rotational transformation?</h3>We are told that the original rectangle which I labelled ABCD in the attached image is rotated 90° clockwise about the origin.
Now, from the translation of Rectangle ABCD into A'B'C'D' using the transformation rule in the question, the new coordinates are;
A'(3, -1)
B'(6, -1)
C'(6, 4)
D'(3, 4)
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Answer:
We conclude that the valve performs above the specifications.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 6.3 pounds per square inch
Sample mean, = 6.5 pounds per square inch
Sample size, n = 130
Alpha, α = 0.02
Population standard deviation, σ = 0.8
First, we design the null and the alternate hypothesis
We use one-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Decision rule:
If the calculated statistic is greater than the the critical value, we reject the null hypothesis and if the calculated statistic is lower than the the critical value, we accept the null hypothesis
Since,
We fail to accept the null hypothesis and reject the null hypothesis. We accept the alternate hypothesis.
Thus, we conclude that the valve performs above the specifications.