What is the absolute value of 4-2i?

1 answer:

8 0

2
√
5
,
8
and
√
58
Explanation:
given a complex number
x
+
y
i
then the absolute value is
∙
x
|
x
+
y
i
|
=
√
x
2
+
y
2
4
+
2
i
has
x
=
4
and
y
=
2
⇒
|
4
+
2
i
|
=
√
4
2
+
2
2
=
√
20
=
2
√
5
8
i
has
x
=
0
and
y
=
8
⇒
|
8
i
|
=
√
0
2
+
8
2
=
8
−
3
+
7
i
has
x
=
−
3
and
y
=
7
⇒
|
−
3
+
7
i
|
=
√
(
−
3
)
2
+
7
2
=
√
58

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Let us find probability of getting the number that is a factor of 6.

$P(\text{ The number is a factor of 6})=\frac{4}{6} =\frac{2}{3}$

Now let us find probability of getting a number more than 2 (3,4,5,6).

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We can see that these two events are mutually inclusive events. We can find probability of mutually inclusive events by formula $P(\text{X or Y})=P(X)+P(Y)-P(\text{X and Y})$ .