Answer:
Tha answer of this question is an angle
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:
-130.8
Step-by-step explanation:
The average of the two slope values is ...
(-148.8 -112.8)/2 = -261.6/2 = -130.8
The slope of the tangent line at t=15 is approximately -130.8.
Answer:
det(A)=-det(B)
Step-by-step explanation:
We have two matrices A, and B.
Matrix B is obtained by swapping rows 1 and 3 of matrix A.
Whenever we swap rows in matrices, the determinants does not change but the sign changes.
Therefore
det(A)=-det(B)
Also no two rows of of both matrices are the same, therefore
det(A)≠0, and det(B)≠0