<span>E[Y] = 0.4·1 + 0.3·2 + 0.2·3 + 0.1·4 = 2
E[1/Y] =0.4·1/1 + 0.3·1/2 + 0.2·1/3 + 0.1·1/4 = 0.4 + 0.15 + 0.0666 + 0.025?0.64
V[Y] =E[Y2]-E[Y]2= (0.4)·12+(0.3)·22+(0.2)·32+(0.1)·42-22= 0.4+1.2+1.8+1.6-4= 5-4 = 1</span>
This is what I got as the answer, 2b x (12-17a)
Answer:
16
Step-by-step explanation:
Let the 1st part of your answer be x
, so the 2nd part will be 40-x
. From the given information, we can write the equation: (1/4)x = (3/8) × (40-x)
. We can simplify this into (1/4)x = (120-3x)/8
; 8x = 480-12x
; 8x+12x = 480
; 20x = 480
; x = 480/20; x = 24
Therefore, the 1st part = 24
Plug this into your 40-x equation to get: 40 - 24 = 16
Answer:
volume of the tank be when the sensor turns on = 92.316 ft³
Step-by-step explanation:
Volume of a cylinder = πr²h
Pi = π = 3.14
Radius = r = 7 ft
Height = h = 3 ft
Volume of a cylinder = πr²h
= 3.14 × 7² × 3
= 3.14 × 49 × 3
= 461.58 ft³
The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.
volume of the tank be when the sensor turns on = 20% of Volume of a cylinder
= 0.20 * 461.58 ft³
= 92.316 ft³
volume of the tank be when the sensor turns on = 92.316 ft³
Answer:
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Step-by-step explanation:
