Prove that the parallelogram circumscribing a circle is a rhombusMatch the
1 answer:
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Answer:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability using the complement rule:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:And we can find this probability using the complement rule:
Answer:
- 50.24 inches
Step-by-step explanation:
It is given that, the radius of a circle is 8 inches and we are to find the circumference of the circle.
To find the circumference of the circle we must know this formula first :
Where
- r is the radius of the circle.
- We'll take the value of π as 3.14
Now substituting the values in the formula :
Therefore,
- The circumference of the circle is 50.24 inches