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BabaBlast [244]
3 years ago
13

Which of the following is a figure rotated about in rotational symmetry?

Mathematics
2 answers:
ehidna [41]3 years ago
7 0

Answer with explanation:

The Meaning of term Rotational Symmetry is , when a geometrical shape is rotated  by an Angle , the Original Pre-image and Image appear Congruent.

For example, when you rotate a Square through a complete revolution that is through an angle of 360°, it appears congruent to it's Original Preimage four times , that is each time when it is rotated by angle of 90°.

So,Order of rotational Symmetry = 4

For a line segment , end points are important while considering Rotational Symmetry.

⇒⇒⇒For a Geometrical Shape, having 1 or infinite order of symmetry

1. End Point is not a Figure that is not a geometrical shape.

2. Point of Symmetry is a Figure because we can call a point a geometrical shape.And in the context of Rotational Symmetry the term is often used.

3. Midpoint is also a Figure because we can call a point a geometrical shape but in context of rotational symmetry the term mid point does not come into consideration.

4.Point of congruence is also a Figure because we can call a point a geometrical shape but from the point of view of rotational symmetry, the term Point of congruence does not make any sense.

Option B →Point of symmetry

   is a figure rotated about in rotational symmetry.

sammy [17]3 years ago
3 0
The answer is C. Mid point
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Answer:

z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363  

p_v =P(z>3.363)=0.00039  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

Step-by-step explanation:

Data given and notation

n=1655 represent the random sample taken

\hat p=0.021 estimated proportion of interest

p_o=0.012 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that true proportions is higher than 0.012.:  

Null hypothesis:p \leq 0.012  

Alternative hypothesis:p > 0.012  

When we conduct a proportion test we need to use the z statisitic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.021 -0.012}{\sqrt{\frac{0.012(1-0.012)}{1655}}}=3.363  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>3.363)=0.00039  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of interest is significantly higher than 0.012 (1.2%)

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Step-by-step explanation:

it every -3

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Read 2 more answers
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