Answer:
x = 8 ± 2i
Step-by-step explanation:
Given
x² - 16x + 60 = - 12 ( subtract 60 from both sides )
x² - 16x = - 72
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 72 + 64, thus
(x - 8)² = - 8 ( take the square root of both sides )
x - 8 = ± 
= ± 2i ( add 8 to both sides )
x = 8 ± 2i
The given MGF is that for a random variable following a Poisson distribution with parameter
.
This means
, and
has PMF
So, the desired probability is
This is equivalent to
Answer:
<h3>
3n + 3</h3>
Step-by-step explanation:
The consecutive integers are increasing by 1
n ← the smallest integer
n+1 ← the middle integer
n+1+1 = n+2 ← the largest integer
The sum:
S = n + n+1 + n+2
S = 3n + 3
8. Answer: (C) 101.3
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
28.2² = 16.9² + 19.5² - 2(16.9)(19.5)·cos C
795.24 = 285.61 + 380.25 - 659.1 cos C
795.24 = 665.76 - 659.1 cos C
129.38 = - 659.1 cos C
-0.196 = cos C
cos⁻¹ (-0.196) = cos⁻¹ (cos C)
101.3 = C
**********************************************************
10. Answer: (A) 27.9
<u>Step-by-step explanation:</u>
Use the Law of Cosines:
c² = a² + b² - 2ab·cos C
c² = 25² + 18² - 2(25)(18)·cos 79
c² = 625 + 324 - 900 cos 79
c² = 949 - 171.7
c² = 777.3
√c² = √777.3
c = 27.9
Hello!
We can write an expression to display this scenario:
$347 is $35 more than 3 times the wholesale cost (x), so:
3x + 35 = 347
Subtract 35 from both sides to isolate x:
3x + 35 - 35 = 347 - 35
3x = 312
Divide both sides by 3:
3x/3 = 312/3
x = $104
