A suitable calculator finds the determinant to be ...
... B. -203
_____
This can be calculated by hand by copying the first two columns to the right of the given matrix, then forming the sum of products of the downward diagonals and subtracting the sum of products of the upward diagonals.
... (-4)(3)(-5) +(-4)(-5)(-5) +(-3)(3)(2) -(-5)(3)(-3) -(2)(-5)(-4) -(-5)(3)(-4)
... = 60 -100 -18 -45 -40 -60
... = -203
Answer:
16.28%
Step-by-step explanation:
50 - 43
-------------
x 100% = 16.2790697674%
43
Step 1.
You have to divide (50-43)/43
Step 2.
Multiply your answer to 'step 1' by 100%
Step 3.
Sometimes your teacher will tell you to round your answer, so that is your last step.
Percent increase formula:

Answer:
A and B are not independent events because P(A|B)≠P(A)
is the correct answer.
Step-by-step explanation:
If A and B are independent then we must have
P(AB) = P(A) P(B) and also
P(A/B) = P(A)
We are given that
A and B are two events.
Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .
P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3
i.e. P(A/B) is not equal P(A)
Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)
Hence A and B are not independent.
Answer:
All of them
Step-by-step explanation:
All of them are equal and Big Dawg Never Lies
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