Answer:
And using the normal standard table or excel we find the probability:

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 avergae number of weeks an individual is unemployed 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 distribution for the sample mean
is given by:
We select a sample of n =50 people. And we want to find the following probability
And using the normal standard table or excel we find the probability:

Answer:
225 square feet
Step-by-step explanation:
the base of the pyramid would be 76 ft², since 12*6=72. Then you get the surface area of the sides. 2 of the sides would be 48 ft², since (12*8)/2=48. The other 2 sides would be 28.5 ft², since (6*9.5)/2-28.5. Then you just add the surface areas of all the sides; 76+48+48+28.5+28.5 to get 225.
Hope this helps! :)
Answer:
x=5
Step-by-step explanation:
since two sides are congruent, the two unknown angles are congruent.
All triangle angles total 180 degrees.
so:
180-88=92
92/2=46
9x+1=46
9x=45
x=5