The volume of the sphere is
Explanation:
Given that the diameter of the toy ball is 12.5 inches
We need to determine the volume of the toy ball.
The radius of the toy ball is given by
Thus, the radius of the toy ball is 6.25 in
The volume of the sphere can be determined using the formula,
Substituting the values, we get,
Multiplying, we get,
Substituting , we have,
Simplifying, we get,
Thus, the volume of the sphere is
Answer:
This z score tell to us how many deviations we are below or above the mean for a given normal distribution.
For the case of Eddie we got:
And for the case of Sue we got:
So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:
C.They are the same size relative to other children of the same sex.
Step-by-step explanation:
We can define the random variable X as the head circumference for boys at birth and we know that the distribution for X is given by:
Similarly we can define the random variable Y as the head circumference for boys at birth and we know that the distribution for Y is given by:
And we know that Eddie was born with 33.2 cm and Sue with 32.7 cm for the head circumference . Since we are interested to determine which child's head circumference is smaller relative to other children of the same sex, we can use the z score formula given by this formula:
This z score tell to us how many deviations we are below or above the mean for a given normal distribution.
For the case of Eddie we got:
And for the case of Sue we got:
So then for both cases we see that Eddie and Sue are 1 deviation below the true mean for each gender so then the best conclusion for this case would be:
C.They are the same size relative to other children of the same sex.