1 Move all terms to one side.
{x}^{2}+15x+45=0
x
2
+15x+45=0
2 Use the Quadratic Formula.
x=\frac{-15+3\sqrt{5}}{2},\frac{-15-3\sqrt{5}}{2}
x=
2
−15+3
5
,
2
−15−3
5
3 Simplify solutions.
x=-\frac{3(5-\sqrt{5})}{2},-\frac{3(5+\sqrt{5})}{2}
x=−
2
3(5−
5
)
,−
2
3(5+
5
)
Derive the equation and equate the derivative to zero.
dan/dt = -2n + 6 = 0
The value of n in the equation is 3. We substitute 3 to the original equation,
an = -(3)² + 6(3) - 7 = 2
The answer to this item is letter B.
Answer:
A. 10/14
and
C. 15/21
Step-by-step explanation:
A. 10/14
and
C. 15/21
If <em>X</em> is uniformly distributed on the interval (0, 12), then its PDF is
or simply
and the zero-elsewhere case is assumed.
Whether you include 0 and 12 in the domain is irrelevant, since the probability that <em>X</em> = 0 or <em>X</em> = 12 are both zero.