ENCHI
1 answer:
Given :
A T.V. is measure by its diagonal.
To Find :
If the height of a 60 inch T.V. is 32 inches, what is the width.
Solution :
We know, T.V. is rectangular in shape and angle between two sides of rectangular is 90° .
Let, width of T.V. is x.
Applying Pythagoras theorem in sides, we get :
Therefore, width of T.V. is 55.42 inches.
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Answer:
1. Translation: g(x) = f(x-a)+b.
2. Reflection around y-axis: h(x) = f(-x)
3. Reflection around x-axis: k(x) = -f(x)
4. Rotation of 90° :
5. Rotation of 180° : .
6. Rotation of 270° : .
Step-by-step explanation:
Let us assume that the transformations namely translation, reflection are applied to a function f(x) and the rotation is applied to the point ( x,y ).
So, according to the options:
We know that 'translation moves the image in horizontal and vertical direction'.
1. As we have to translate the function f(x) 'a' units to the right and 'b' units up. So, the new form of the function becomes g(x) = f(x-a)+b.
Further, we know that 'reflection means to flip the image around a line'.
2. As, we have to reflect the function f(x) around y-axis. The new form of the function is h(x) = f(-x).
3. As, we have to reflect the function f(x) around x-axis. The new form of the function is k(x) = -f(x).
Since, 'rotation turns the image around a point to a certain degree'.
4. As, we have to rotate ( x,y ) counter-clockwise to 90° about the origin, the new form of the function is .
5. As, we have to rotate ( x,y ) counter-clockwise to 180° about the origin, the new form of the function is .
6. As, we have to rotate ( x,y ) counter-clockwise to 270° about the origin, the new form of the function is .
Answer:
The Cohen's D is given by this formula:
Where represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:
And the difference of the two samples is , and replacing we got:
And since the value for D obtained is 0.5 we can consider this as a medium effect.
Step-by-step explanation:
Previous concepts
Cohen’s D is a an statistical measure in order to analyze effect size for a given condition compared to other. For example can be used if we can check if one method A has a better effect than another method B in a specific situation.
Solution to the problem
The Cohen's D is given by this formula:
Where represent the deviation pooled and we know from the problem that:
represent the pooled variance
So then the pooled deviation would be:
And the difference of the two samples is , and replacing we got:
And since the value for D obtained is 0.5 we can consider this as a medium effect.