ANSWER
The multiplication, CA is defined, and its dimension is 3×2
EXPLANATION
Matrix A is a 2x3 matrix.
Matrix C is a 3×2 matrix.
The product of the two matrices , CA, is defined if and only if the inner product of their dimension are the same.

The inner products are the same.
Hence the matrix multiplication, CA is defined and its dimension is the outer products.

Answer: 0.145
Step-by-step explanation:
Since,
the Probability of the older pump failing P(fail older) = 0.10
The probability of the newer pump failing P(fail newer) = 0.05
Therefore,
The Probability of the older pump not failing P(not fail older) = 1 - 0.1
P(not fail older) = 0.9
Also,
The probability of the newer pump not failing P(not fail newer) = 1 - 0.05 = 0.95
The probability of the pumping system failing = P(not fail older)* P(not fail newer) = 0.9*0.95
P(not fail system)= 0.855
Therefore,
The probability that the pumping system will fail = 1 - P(not fail system) = 1 - 0.855 = 0.145
The probability that the pumping system will fail one day is 0.145
Answer:
0 would represent the amount of money carlene can spend from her checking account since she has a negative amount of money she owes to the bank.
k<2(3.5) or simplified k<7
Yes this is a correct statement.