A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84
Answer:
The probability of rolling a factor of 9 is 1/2, or 50%.
Step-by-step explanation:
The number 9's factors are 1, 3, and 9. Three of the six sides of the cube have a factor of 9. Therefore 3/6 of the sides are factors of nine.
Simplify 3/6 to 1/2 to get a probability of 50%.
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:
