Using implicit differentiation, it is found that the radius is increasing at a rate of 0.0081 cm per minute.
<h3>What is the volume of a sphere?</h3>
The volume of a sphere of radius r is given by:
Applying implicit differentiation, the rate of change is given by:
In this problem, we have that:
Hence the rate of change of the radius is given as follows:
The radius is increasing at a rate of 0.0081 cm per minute.
More can be learned about implicit differentiation at brainly.com/question/25608353
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Answer:
And we can find this probability using the complement rule and with excel or the normal standard table:
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 weights 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 and with excel or the normal standard table:
36/39 or 12/13 is th answer to that
Let, the number be "a"
Now, according to the question,
So, the number is 72
1/2 pounds,
assuming that each friend takes an equal part of the 2 1/2 pounds, then 2 1/2 divided by 5 would get you 1/2 pound
