Coordinates of vertices of new triangle:
A´(0,0), B´(-12,0), C´(-6,12).
This transformation is dilatation, with the origin as the center of dilatation and the scale factor of the dilatation : s=3. A dilatation changes the size of a figure, while the shape of figure does not change.
Triangle A´B´C´ (image) is similar to triangle ABC (pre-image) because their corresponding angles are equal in measure and the ratio of their corresponding sides are in proportion (in attachment).

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A production supervisor at a major chemical company wishes to determine whether a new catalyst, catalyst XA-100, increases the m

zheka24 [161]

Answer:

a. n= 47

b. n= 128

Step-by-step explanation:

Hello!

The objective of this experiment is to test if the new catalyst, XA-100, increases the mean hourly yield of a chemical process, that is known to be μ=750 (pounds per hour) with the current process.

You need to calculate the sample size to estimate the population with determined error margins.

To do so, since you have no population information, only that it is approximately normal distributed, you'll use the Student t statistic to get the sample size.

The formula of the margin of error (d) is:

d= $t_{n-1: 1-\alpha/2}$ * ( $\frac{S}{\sqrt{n} }$ )