If 6 workers paint 6 meters of a fence in 6 hours, how long will it take for 12 workers to paint 12 meters of the fence?
2 answers:
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Given an exponential function, say f(x), such that f(0) = 1 and f(1) = 2 and a quadratic finction, say g(x), such that g(0) = 0 and g(1) = 1.
The rate of change of a function f(x) over an interval
is given by
Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
is given by
Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
is given by
Therefore, the exponential grows at the same rate as the quadratic in the interval <span>.</span>
The rate of change of a function f(x) over an interval
is given by
Thus, the rate of change (growth rate) of the exponential function, f(x) over the interval
is given by
Similarly, the rate of change (growth rate) of the quadratic function, g(x) over the interval
is given by
Therefore, the exponential grows at the same rate as the quadratic in the interval <span>
Answer: 0.0668
Step-by-step explanation:
Given: Mean :
Standard deviation :
The formula to calculate z-score is given by :_
For x= 4 minutes , we have
The P-value =
Hence, the probability that on a given run, the time will be 4 minutes or less = 0.0668