45 degrees! The angles of a triangle always add up to 180. The other two add up to 135. 180-135 is 45.
Answer:
Expected revenue from the single trip is $ 13.14
Step-by-step explanation:
y
p(x,y) 0 1 2 g(x)
x 0 0.025 0.015 0.010 0.05
1 0.050 0.030 0.020 0.1
2 0.115 0.075 0.050 0.24
3 0.150 0.090 0.060 0.3
<u>4 0.100 0.060 0.040 0.2 </u>
h(y) 0.325 0.27 0.18
E (x+Y) = E(X) +E(Y)
E(X)= ∑ xi g(x)i
= ( 0*0.05) + (1*0.1) + (2* 0.24) + (3*0.3) + (4*0.2)
= 0 + 0.1+ 0.48 + 0.9+0.8
=2.28
E(Y)= ∑yi h(y)
= (0* 0.325) + (1*0.27) + (2*0.18)
= 0 +0.27+ 0.36
= 0.63
E (x+Y) = E(X) +E(Y)
= 2.28 + 0.63
= 2.91
But the equation is 3x+ 10y
E(3x+ 10y)= 3E(x) + 10 E(y)
= 3(2.28) + 10 (0.63)
= 6.84 +6.3
= 13.14
Expected revenue from the single trip is $ 13.14
Answer:
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
substitute in the formula above
Point slope form again
-3-9/3+1= -3
y+1=-3(x-9)
y+1=-3x+27
y=-3x+26
5+1/2+1=2
y+1=2(x+1)
y+1=2x+2
y=2x+1
For your system of equations you have
y={y=-3x+26}
y={y=2x+1}
There is a couple ways you can solve this. You could either use a subtraction method, or a substitution method. since they are both y = something i would just substitute one y in one or the other equation.
2x+1=-3x+26
5x+1=26
5x=25
x=5
So now you just plug in x = 5 for each quotation and you have your y's for both solution points
y=-3(5)+26
y=11
y=2(5)+1
y=11
So this works out nice, your solutions for the set of equations is (5,11) since they are the same points
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