BLANK + 308 + -126 = 450
2 answers:
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Answer:
The rule of translation :
The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Step-by-step explanation:
The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).
It is given that a translation maps R to the point (2,-9).
Difference between x-coordinates:
Difference between y-coordinates:
The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.
The rule of translation is
The vertices of image are
Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).
Answer:
The 95% confidence interval for the mean savings is ($60.54, $81.46).
Step-by-step explanation:
As there is no information about the population standard deviation of savings and the sample is not large, i.e. <em>n</em> = 20 < 30, we will use a <em>t</em>-confidence interval.
The (1 - <em>α</em>)% confidence interval for population mean (<em>μ</em>) is:
For the data provided compute the sample mean and standard deviation as follows:
The critical value of <em>t</em> for <em>α</em> = 0.05 and (n - 1) = 19 degrees of freedom is:
*Use a <em>t</em>-table for the value.
Compute the 95% confidence interval for the mean savings as follows:
Thus, the 95% confidence interval for the mean savings is ($60.54, $81.46).