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What type of triangle is this? Side lengths of 7.36 m, 3.16 m, and 5.45m and angles that measure 43degrees, 23 degrees, and 114d
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Every confidence interval has associated z value. As confidence interval increases so do the z value associated with it.
The confidence interval can be calculated using following formula:
Where
is the mean value, z is the associated z value, s is the standard deviation and n is the number of samples.
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
The confidence interval can be calculated using following formula:
Where
We know that standard deviation is simply a square root of variance:
The confidence interval of 95% has associated z value of <span>1.960.
</span>Now we can calculate the confidence interval for our income:
Transforming a shape involves changing the size and/or the location of the shape.
- The rule that will take the triangle to a congruent triangle is
- The rule that will take the triangle to a figure that is similar is
.
- The rule that will take the triangle to a figure that is not similar or congruent is
.
When a shape is transformed by a rigid transformation, then the image of the shape will be congruent to the original shape.
An example of a rigid transformation is a reflection over the x-axis; and the rule is:
So, a rule that will take the triangle to a congruent triangle is
When a shape is transformed by a nonrigid transformation, then the image of the shape will not be congruent to the original shape, however the original shape and the transformed shape would be similar
An example of a nonrigid transformation is a dilation by a scale factor od 0.5; and the rule is:
So, a rule that will take the triangle to a figure that is similar is
However, if the x and y coordinates of the shape are dilated by different scale factors, then the resulting shape would neither be similar nor be congruent to the original shape.
A rule that will take the triangle to a figure that is not similar or congruent is .
Read more about transformation at: