Derek advises a patient to have a scale every 4 months and a polish every 6 months. If they have a scale and polish today, how l
2 answers:
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Answer:
And we can find this probability on this way:
We expect around 68.27% between the two scores provided.
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 scores 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 on this way:
We expect around 68.27% between the two scores provided.
Sphere
The radius of the sphere is the only unknown variable need to find the volume of a sphere.
Step-by-step explanation:
Sphere is a geometrical three dimensional round figure with every point on its surface equidistant from its center. It is a three dimensional representation of a circle. A line which connects from the center to the surface is called radius of the sphere.The diameter of the sphere is the longest straight line which passes through the center of the sphere.
The volume of sphere is given by:
Volume of sphere(V) =
where V is the volume of the sphere
r is the radius of the sphere
= 3.14
Hence the only unknown variable to find the volume of a sphere is the radius.