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timama [110]
2 years ago
12

Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2) . Select the "Polygon" button fro

m the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created. PolygonMove UndoRedoReset

Mathematics
2 answers:
timofeeve [1]2 years ago
7 0
The transformation is merely a translation of points vertically and horizontally. The original triangle must have its original coordinates. All you have to do is subtract 1 from their x-coordinate, and add 2 units to their y-coordinates. For example, if the original coordinate is (1,2), then the translated point would now be (0,4). Once you get all the translated points, you can plot them as the new translated triangle.
Inessa05 [86]2 years ago
5 0

Answer:

Hope this helps

Step-by-step explanation:

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Hence, the two numbers chosen or plotted by them are:

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Step-by-step explanation:

It is given that Bernita and Derek each plot a number on a number line with the properties:

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<em>We know that</em><em> Absolute value</em><em> of a positive number is a number itself and absolute value of a negative number is it's inverse.</em>

Hence, the two numbers that satisfy the above three properties are:

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Since,

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Suppose the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations. Th
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<em>H₀</em>: <em>μ</em>₁ = <em>μ</em>₂ vs, <em>Hₐ</em>: <em>μ</em>₁ > <em>μ</em>₂.

Step-by-step explanation:

A two-sample <em>z</em>-test can be performed to determine whether the claim made by the owner of pier 1 is correct or not.

It is provided that the weights of fish caught from pier 1 and pier 2 are normally distributed with equal population standard deviations.

The hypothesis to test whether the average weights of the fish in pier 1 is more than pier 2 is as follows:

<em>H₀</em>: The weights of fish in pier 1 is same as the weights of fish in pier 2, i.e. <em>μ</em>₁ = <em>μ</em>₂.

<em>Hₐ</em>: The weights of fish in pier 1 is greater than the weights of fish in pier 2, i.e. <em>μ</em>₁ > <em>μ</em>₂.

The significance level of the test is:

<em>α</em> = 0.05.

The test is defined as:

z=\frac{(\bar x_{1}-\bar x_{2})-(\mu_{1}-\mu_{2})}{\sqrt{\frac{\sigma_{1}^{2}}{n_{1}}+\frac{\sigma_{2}^{2}}{n_{2}}}}

The decision rule for the test is:

If the <em>p</em>-value of the test is less than the significance level of 0.05 then the null hypothesis will be rejected and vice-versa.

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