Since the time to failure distribution is
exponential, the distribution is F (n) = 1 – e ^ (-x/48)
The probability of failure between months 60
and 72 is the same as the probability that the battery will fail in 12 months,
since the exponential distribution is memoryless F (12) = 0.221
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Answer:
24
Step-by-step explanation:
use Pythagoras theorem
a^2 + b^2 = c^2
18^2+b^2=30^2
b^2 = 30^2 - 18^2
b = √576 =24
A reflection across the x axis
y=0
Answer:
- train: 40 kph
- plane: 140 kph
Step-by-step explanation:
Let t represent the speed of the train in km/h. Then 4t-20 is the speed of the plane. Travel times are the same, so we can use the formula ...
time = distance/speed
and equate the travel times.
110/t = 385/(4t-20)
Cross multiplying gives ...
110(4t -20) = 385t
440t -2200 = 385t . . . . . eliminate parentheses
55t -2200 = 0 . . . . . . . . . subtract 385t
t -40 = 0 . . . . . . . . . divide by 55
t = 40 . . . . . . . . . . . add 40; train's speed is 40 kph
4t -20 = 140 . . . . . . find plane's speed; 140 kph
The train's speed is 40 km/h; the plane's speed is 140 km/h.
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<em>Check</em>
Train's travel time = 110 km/(40 km/h) = 2.75 h.
Plane's travel time = 385 km/(140 km/h) = 2.75 h.
Answer:
Step-by-step explanation:
(19+13)*14/2= 217 sq ft
