Answer:
b
Step-by-step explanation:
The volume (V) of a sphere is calculated as
V =
πr³ ( where r is the radius )
Here r = 3, thus
V =
π × 3³
=
π × 27 = 4π × 9 = 36π in³ → b
Answer:
36 black socks
Step-by-step explanation:
white socks: black socks
1 :3
We have 12 white socks so we multiply each term by 12
1*12 : 3*12
12:36
We have 36 black socks
The answer is 2.34 x 10-11 g
Answer:
Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:

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 heights of a population, and for this case we know the distribution for X is given by:
Where
and
Since the distribution for X is normal then the we know that the distribution for the sample mean
is given by:
And the standard error is given by:
