Which vector best describes the translation below?
1 answer:
<h3>Answer: Choice A) <9,0></h3>
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule . We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation is shortened to the translation vector notation
. In this case, a = 9 and b = 0.
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Answer:
a)
b) The sample deviation is calculated from the following formula:
And for this case after replace the values and with the sample mean already calculated we got:
If we assume that the data represent a population then the standard deviation would be given by:
And then the deviation would be:
Step-by-step explanation:
For this case we have the following dataset:
67.401, 67.400, 67.402, 67.396, 67.406, 67.401, 67.396, 67.401, 67.405, and 67.404
Part a: Determine the most probable value.
For this case the most probably value would be the sample mean given by this formula:
And if we replace we got:
Part b: Determine the standard deviation
The sample deviation is calculated from the following formula:
And for this case after replace the values and with the sample mean already calculated we got:
If we assume that the data represent a population then the standard deviation would be given by:
And then the deviation would be: