Write 5 1/4% as a simple fraction.
1 answer:
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Write the polynomial as an equation.
y
=
x
3
−
2
x
2
−
3
x
+
6
y
=
x
3
-
2
x
2
-
3
x
+
6
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
x
3
−
2
x
2
−
3
x
+
6
0
=
x
3
-
2
x
2
-
3
x
+
6
Replace
y
y
with
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
The result can be shown in multiple forms.
Exact Form:
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
Decimal Form:
x
=
2
,
1.73205080
…
,
−
1.73205080
…
y
=
x
3
−
2
x
2
−
3
x
+
6
y
=
x
3
-
2
x
2
-
3
x
+
6
To find the roots of the equation, replace
y
y
with
0
0
and solve.
0
=
x
3
−
2
x
2
−
3
x
+
6
0
=
x
3
-
2
x
2
-
3
x
+
6
Replace
y
y
with
0
0
and solve for
x
x
.
Tap for more steps...
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
The result can be shown in multiple forms.
Exact Form:
x
=
2
,
√
3
,
−
√
3
x
=
2
,
3
,
-
3
Decimal Form:
x
=
2
,
1.73205080
…
,
−
1.73205080
…
Answer:
(a) The value of P (M | V) is 0.30.
(b) The value of is 0.70.
(c) The value of P (V | M) is 0.375.
(d) The value of is 0.625.
Step-by-step explanation:
It is provided that,
<em>V</em> = a student has a Visa card
<em>M</em> = a student has a Master card
N = 100, n (<em>V</em>) = 40, n (<em>M</em>) = 32 and n (<em>V</em> ∩ <em>M</em>) = 12.
The probability of a student having visa card is:
The probability of a student having master card is:
The probability of a student having visa card and a master card is:
The conditional probability of an event, say A, given that another event, say B, has already occurred is,
(a)
Compute the probability that a student has a master card given that he/she has a visa card also, i.e. P (M | V) as follows:
Thus, the value of P (M | V) is 0.30.
(b)
Compute the probability that a student does not have a master card given that he/she has a visa card also, i.e. as follows:
Thus, the value of is 0.70.
(c)
Compute the probability that a student has a visa card given that he/she has a master card also, i.e. P (V | M) as follows:
Thus, the value of P (V | M) is 0.375.
(d)
Compute the probability that a student does not have a visa card given that he/she has a master card also, i.e. as follows:
Thus, the value of is 0.625.