A zoo has two male lions 1/6 of the line on male lions how many lions are there at the zoo
1 answer:
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Answer:
Option A and C have rotational symmetry.
Step-by-step explanation:
The graph of odd functions have rotational symmetry about its origin.
Here the first graph is a graph of f(x)= which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in then it gives negative of
.
And we also know that when a graph is mirroring about the y-axis then it is an even functions.
For even functions we have reflection symmetry rather than rotational symmetry.
The second graph is a graph of which is an even function as we can see that its graph is mirroring about the y-axis.
The third graph is a graph of an ellipse which is possessing rotational symmetry.
The order of symmetry of an ellipse is generally 2.
Order of symmetry:
The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.
So graph A and C have rotational symmetry.
Answer:
Hypothesis
Null hypothesis:
Alternative hypothesis:
Statistic
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5
Step-by-step explanation:
Information given
represent the sample mean
represent the sample deviation
sample size
represent the value to test
t would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true mean is equal to 3.5, the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
Statistic
The statistic would be given by:
(1)
Replacing we got:
P value
The degrees of freedom are given by:
And the p value would be given by:
Conclusion
Since the p value is lower than the significance level of 0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly different from 3.5