Answer:
These are the answers
Step-by-step explanation:
The volume of a sphere formula is:
V = 4/3 x pi x r cubed
V = 4/3 x 3.14 x 6 cubed
V = 4/3 x 678.24
V = 4/3 x 678.24/1
V = 2712.96/3
V = 904.32 cubic cm
So 904.30 cubic cm would be the volume.
the radius is 6
the diameter is 12
and i am guessing the height is also 12 since a sphere is perfectly round
Answer:
And we can find this probability using the complement rule and the normal standard distribution and we got:
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 number of attacks 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 the normal standard distribution and we got: