How do I change z= -14+ 8i from rectangular form to polar form?
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Answer:
We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).
Step-by-step explanation:
Information given
represent the sample mean
represent the sample standard deviation
sample size
represent the value that we want to test
represent the significance level
t would represent the statistic (variable of interest)
represent the p value for the test
Hypothesis to test
We want to conduct a hypothesis in order to check if the true mean has increased from 2008 , and the system of hypothesi are:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is:
(1)
Calculating the statistic
Replacing the info given we got:
P-value
The degrees of freedom are:
Since is a right tailed test the p value is:
Decision
We see that the p value i higher than the significance level so then we FAIL to reject the null hypothesis and we can conclude that the true mean is not significantly higher than 13.2 *the value of 2008 ).
A picture of the dilated figure with its points at (-2, 10), (2, 6), and (-8, 4) is provided.
<h3 /><h3>What exactly is dilation?</h3>Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.
The complete question is;
"Graph the image of this figure after a dilation with a scale factor of 2 centered at (2, 2) .
Use the polygon tool to graph the dilated figure."
The center of dilation and figure are first translated, making the origin the center of dilation.
We map every point because the point (2, 2), which is our center of dilatation, must be translated left 2 and down 2 to become the origin.
(x, y)→(x-2, y-2)
Each point will be multiplied by two when the scale factor is two, giving us the rule.
(x, y)→(2x-4, 2y-4)
In order to return the figure to its original location, we must translate it right 2 and up 2; this gives us the rule.
(x,y)→(2x-4+2, 2y-4+2) = (2x-2, 2y-2)
At the top of the original figure, the first point is (0, 6). When we use the transformation, we get
(0, 6)→(2*0-2, 2*6-2) = (0-2, 12-2) = (-2, 10)
The pre-rightmost image's point is (2, 4). The results of using the transformation rule are;
(2, 4)→(2*2-2, 2*4-2) = (4-2, 8-2) = (2, 6)
The pre-leftmost image's point is at (-3, 3). The transformation rule being applied, w
(-3, 3)→(-3*2-2, 3*2-2) = (-6-2, 6-2) = (-8, 4)
Hence,an picture of the dilated figure with its points at (-2, 10), (2, 6), and (-8, 4) is provided.
To learn more about dilation, refer to
brainly.com/question/13176891.
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