Answer: Option A
Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]
Step-by-step explanation:
It should be noted that, the VaR for a 3-year period with a 2.5 percent probability is Prob[Rp,T ≤ E(Rp) × 3 - 1.960 × σp √3]. Therefore, option A only is correct while other options are wrong
The number of passengers that :
- Needs Transfer only = 13 passengers
- Are going to work only = 17 passengers
Let :
Passengers that needs transfer = T = 35
Passengers going to work, W = 39
Passengers who do not need transfers and aren't going to work = 12
Using a venn diagram :
Let the Passengers who do not need transfers and are going to work and needs transfer = x
Passengers who need transfer only = 35 - x
Passengers who are going to work only = 39 - x
To find x :
35 - x + 39 - x + x + 12 = 64
86 - x = 64
-x = 64 - 86
-x = - 22
x = 22
the number of passengers that need transfers but aren’t going to work will be = 35 - 22 = 13 passengers
the number of passengers that are going to work but do not need transfers will be : 39 - 22 = 17 passengers
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It's C because you need to find how many points each student earned per grade (freshman & sophomore). Then you multiply it by 30 to find out how many points each student scored in the whole class.
Hope this helps!
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
<h3>Exact area = 12pi - 9*sqrt(3) square inches</h3><h3>Approximate area = 22.1106545749577 square inches</h3>
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Work Shown:
Assuming the chord is horizontal along with the diameter, then this means the two smallest minor arcs are both 30 degrees each. This leaves the northern most arc to be 180-30-30 = 120 degrees in measure
A = area of northern sector (you can think of it as a pizza slize)
A = (angle/360)*pi*r^2
A = (120/360)*pi*6^2
A = 12pi
B = area of triangle
B = (1/2)*side1*side2*sin(included angle)
B = (1/2)*6*6*sin(120)
B = 18*sqrt(3)/2
B = 9*sqrt(3)
C = area of shaded region
C = A - B
C = 12pi - 9*sqrt(3) .... exact area
C = 22.1106545749577 ... use a calculator to get the approximate area
