Find the volume of the given solid region in the first octant bounded by the plane 9z+15y+15z=45 and the coordinate planes, usi
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See in the explanation
<h2>Explanation:</h2>Translating a shape is part of that we called Rigid Transformations. This is called like this because the basic form of the shape doesn't change. So this only changes the position of the chape in the coordinate plane. In mathematics, we have the following rigid transformations:
- Horizontal shifts
- Vertical shifts
- Reflections
Horizontal and vertical shifts are part of translation. So the question is <em>How do we graph and translate a shape?</em>
To do so, you would need:
- A coordinate plane.
- An original shape
- Set the original shape in the coordinate plane.
- A rule
- The translated shape
For example, the triangle below ABC is translated to form the triangle DEF. Here, we have a coordinate plana and an original shape, which is ΔABC. So this original shape has three vertices with coordinates:
A(-4,0)
B(-2, 0)
C(-2, 4)
The rule is <em>to translate the triangle 6 units to the right and 1 unit upward. </em>So we get the translated shape ΔDEF with vertices:
D(2,1)
E(4, 1)
F(4, 5)
<h2>Learn more:</h2>Translation: brainly.com/question/12534603
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To simplify the fraction, divide the numerator / denominator ( cancel ) by the highest common factor of 25 and 30, that is 5
=
in simplest form
Answer: The standard deviation of the sampling distribution is 0.0110
Step-by-step explanation:
The standard deviation of the sampling distribution is given by :-
, where p = population proportion and n = sample size.
Let denote the proportion in the sample who say they support the increase.
As per given :
Then , the standard deviation of the sampling distribution is
Hence, the standard deviation of the sampling distribution is 0.0110.