f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up
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Answer: shift the graph of y = 9(3)ˣ two units right and six units down.
Answer: the answer is A.4
Step-by-step explanation:
Dilation in this context is the transformation is an object into a larger one.
ABC is transformed to A'B'C'
To get the scale factor, we divide the coordinates of A'B'C' by ABC
i.e
A'/A = -28/-7, 32/8 = 4
Or
B'/B = 4/1, -28/-7 = 4
Or
C'/C = 28/7, 24/6 = 4
Answer:
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².
Step-by-step explanation:
We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of .
So it is z with a pvalue of , so
Now, find M as such
In which is the standard deviation of the population and n is the size of the sample.
The lower end of the interval is the mean subtracted by M. So it is 1.016 - 0.0310 = 0.985 g/cm²
The upper end of the interval is the mean added to M. So it is 1.016 + 0.0310 = 1.047 g/cm²
The 95% confidence interval for the mean is between 0.985g/cm² and 1.047 g/cm².