Identify the initial amount a and the growth factor b in the exponential function. f(x) = 620 • 7.8x
1 answer:
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Answer:
214.5 seconds or less time will qualify individuals for such training
Step-by-step explanation:
given that the time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 150 sec and a standard deviation of 25 sec.
i.e. X the time that it takes a randomly selected job applicant to perform a certain task is N(150,25)
The fastest 10% are the ones who are above the 90th percentile
We know 90th percentile for Z std normal score is 1.28
Corresponding X score would be
Round off to one decimal
214.5 seconds or less time will qualify individuals for such training
Answer:
.
Step-by-step explanation:
The equation of a circle of radius centered at
is:
.
.
Differentiate implicitly with respect to to find the slope of tangents to this circle.
.
Apply the power rule and the chain rule. Treat as a function of
,
.
.
.
That is:
.
Solve this equation for :
.
The slope of the tangent to this circle at point will thus equal
.
Apply the slope-point of a line in a cartesian plane:
, where
is the gradient of this line, and
are the coordinates of a point on that line.
For the tangent line in this question:
,
.
The equation of this tangent line will thus be:
.
That simplifies to
.
