Answer:
<u>x = -3</u>
Step-by-step explanation:
-5x + 9 = 24
move the nine to the other side
-5x = 15
divide
x = -3
Answer:
−
7
i
Step-by-step explanation:
This Question is related to Direct Proportionality
Here : The Number of Miles Driven is Directly Proportional to Number of Gallons of Gas
Number of Miles ∝ Gallons of Gas
Given Keith with 16 Gallons of Gas Drove 436 Miles
⇒ Keith with 1 Gallon of Gas would Drive - 
Miles
⇒ Keith with 1 Gallon of Gas would Drive : 27.25 Miles
⇒ Keith with 14 Gallons of Gas would Drive : 14 × 27.25 Miles
⇒ Keith with 14 Gallons of Gas would Drive : 381.5 Miles
No. If 4x= 24 then x=6. 7 multiplied by 6 equals 42, not 35 so this is not a ratio.
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
