Answer:
The table that represents the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
Step-by-step explanation:
We know that a conditional relative frequency table is one:
In which the entries in each row is divided by the row total .
OR
In which the entries in each column is divided by the column total.
i.e. the frequency or quantity of an item is being compared either to row or to the column total.
Hence, from the given options, the table that represent the conditional relative frequency is:
A B Total
C 0.25 0.75 1.0
D 0.35 0.65 1.0
Total 0.30 0.70 1.0
Answer:
25 light bulbs
Step-by-step explanation:
You just divide 1000 by 40
where det(<em>A</em>) = 1×1 - 2×1 = -1.
where det(<em>B</em>) = 0×2 - (-1)×1 = 1. Then
On the other side, we have
and det(<em>AB</em>) = det(<em>A</em>) det(<em>B</em>) = (-1)×1 = -1. So
and both matrices are clearly the same.
More generally, we have by definition of inverse,
where is the identity matrix. Multiply on the left by <em>A </em>⁻¹ to get
Multiplication of matrices is associative, so we can regroup terms as
Now multiply again on the left by <em>B</em> ⁻¹ and do the same thing: