The answer is D :) II hope that this helps and if you need a bigger description I can help
Answer:
f ) x+72=90(complementary angle)
x= 90-72
x=18
g )x+77=90
x=90-77
x=13
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3/4x-12-5=15
3/4x-17=15
3x-68=60
3x=60+68
3x=128
X=128/3
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:
