Answer:
expected payout for case 1: $2.1
expected payout for case 2: $5.5
I prefer the second scenario.
Step-by-step explanation:
First scenario:
- you get paid $5 with probability 0.05
- $10 with probability 0.1
- $1 with probability 0.85
So the expected value is
E = 5*0.05+10*0.1+1*0.85 = 2.1
Second Scenario:
- you get paid $5 from A and $10 for B (a total of $15) with probability 0.25 (this is, if B doubled the value of A)
- you get paid $5 from A and $1 from B (a total of $6) with probability 0.25
-you get paid $0 from A and $0 from B with probability 0.25
- you get paid $0 from A and $1 from B with probability 0.25
Hence the expected value in this case is
E = 15*0.25+6*0.25+0*0.25+1*0.25 = 5.5
Even though in the second scenario you are more likely to gain less money (for one try), the expected value is much higher, so i prefer the second scenario.
The bearing of the plane is approximately 178.037°. 
<h3>Procedure - Determination of the bearing of the plane</h3><h3 />
Let suppose that <em>bearing</em> angles are in the following <em>standard</em> position, whose vector formula is:
(1)
Where:
- Magnitude of the vector, in miles per hour.
- Direction of the vector, in degrees.
That is, the line of reference is the 
semiaxis.
The <em>resulting</em> vector (
), in miles per hour, is the sum of airspeed of the airplane (
), in miles per hour, and the speed of the wind (
), in miles per hour, that is:
(2)
If we know that 
, 
, 
and 
, then the resulting vector is:
![\vec v = (7.986, -232.981) \,\left[\frac{mi}{h} \right]](https://tex.z-dn.net/?f=%5Cvec%20v%20%3D%20%287.986%2C%20-232.981%29%20%5C%2C%5Cleft%5B%5Cfrac%7Bmi%7D%7Bh%7D%20%5Cright%5D)
Now we determine the bearing of the plane (), in degrees, by the following <em>trigonometric</em> expression:
(3)
The bearing of the plane is approximately 178.037°.
To learn more on bearing, we kindly invite to check this verified question: brainly.com/question/10649078
Answer:
no solution
Step-by-step explanation:
y = -2x + 3
6x + 3y = -3
the substitution method means you plug one equation into the next, because the first equation gives us a solution for y we can go ahead and plug that into y of the second equation
6x + 3(-2x + 3) = -3
6x - 6x + 9 = -3
9 = -3
which is false meaning that there are no solutions and the lines don't touch at any point
Answer: (-2,8); (-6,0)
Step-by-step explanation:
y=mx+b
m=slope
slope=y2-y1/x2-x1
so m=2
y=2x+b
