Answer:
Take a better picture so I can see better
Step-by-step explanation:
Answer:
4xy(2+y)
Step-by-step explanation:
Factor 4
x
y out of 8
x
y
.

Factor 4xy out of 
4xy(2) + 4xy(y)
Factor 4
x
y out of 4
x
y
(
2
) + 4
x
y
(
y
)
.
4xy(2+y)
hope this helps :)
Answer:

Step-by-step explanation:

When there is a ( + ) in front of an expression in parentheses, there is no need to change the sign of each term. That means, the expression remains the same. Just remove the parentheses

Collect like terms

Subtract 3 from 12

Collect like terms

Hope I helped!
Best regards! :D
Answer:
Where
and
We select a sample of n=16 and we are interested on the distribution of
, since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:

Because by definition:



And for this case we have this:


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 IQ scores of a population, and for this case we know the distribution for X is given by:
Where
and
We select a sample of n=16 and we are interested on the distribution of
, since the distribution for X is normal then we can conclude that the distribution for
is also normal and given by:

Because by definition:



And for this case we have this:


Answer:
Step-by-step explanation:
6