15 is 6 because 12 divided by 2 is 6
19 is 12 because 12-3 is 9
Answer: Matrix B is non- invertible.
Step-by-step explanation:
A matrix is said to be be singular is its determinant is zero,
We know that if a matrix is singular then it is not invertible. (1)
Or if a matrix is invertible then it should be non-singular matrix. (2)
Given : A and B are n x n matrices from which A is invertible.
Then A must be non-singular matrix. ( from 2 )
If AB is singular.
Then either A is singular or B is singular but A is a non-singular matrix.
Then , matrix B should be a singular matrix. ( from 2 )
So Matrix B is non- invertible. ( from 1 )
2 to the second power times 7 to the seventh power
Answer:
a) 

And we can use the complement rule and we got:


And replacing we got:

b) 

And we can use the complement rule and we got:


And replacing we got:

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 length of time waiting to be seated of a population, and for this case we know the distribution for X is given by:
Where
and
Part a
For this cae we want to find this probability:

And if we use the conditional probability formula we got:

We can solve the problem using the z score formula given by:



And we can use the complement rule and we got:


And replacing we got:

Part b

We can solve the problem using the z score formula given by:



And we can use the complement rule and we got:


And replacing we got:
