A rectangular lot that measures 150 ft by 200 ft is completely fenced. What is the approximate length, in feet, of the fence?
1 answer:
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Answer:
0.75s , 15ft
Step-by-step explanation:
Use Derivatives,
Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.
h =
(-16t² + 24t + 6)
= -32t + 24
At turning points (max/min),
the gradient is 0 meaning,
= -32t + 24 = 0.
t = 24/32 = 3/4
so time = 0.75 second
Substitute this t into the function,
we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft
Answer:
a) 60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.
b) 70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters
c) 50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X lower than x is given by the following formula.
The probability of X being higher than x is:
The probability of X being between c and d is:
For this problem, we have that:
(a) at most 8.8 liters;
60% probability that on a given day the amount of coffee dispensed by this machine will be at most 8.8 liters.
(b) more than 7.4 liters but less than 9.5 liters;
70% probability that on a given day the amount of coffee dispensed by this machine will be more than 7.4 liters but less than 9.5 liters
(c) at least 8.5 liters.
50% probability that on a given day the amount of coffee dispensed by this machine will be at least 8.5 liters