Answer:
And we can find this probability using the complement rule and with the normal standard table or excel:
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 average household spent 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 with the normal standard table or excel:
Answer:
Second Option: 3, -3
Step-by-step explanation:
In the graph of the supplied function we observe f (x) is a piece wise function composed of two line segments and a point.
if
,
if
,
if
We must find the limit when x approaches 2 from the left

and we must find the limit when x approaches 2 on the right.

when x approaches 2 on the left then
. If
then
, therefore the 
When x approaches 2 on the right then
. If
then
, therefore the
.
actual question?: -3 < p < 7 and -2 < q < 5
Answer:
-3
Step-by-step explanation:
p*q=-3
they told you the answer?