Probability A survey of a college freshment class has determined that the mean height of females in the class is 64 inches,with
a standard deviation of 3.2 inches.
(a) Assuming the data can be modeled by a normal probability density function,find a model for these data.h
(b) Use a graphing utility to graph the model.Be sure to choose an appropriate viewing window.
(c) Find the derivative of the model.
(d) Show that f ' > 0 for x < µ and f' < 0 for x > µ.
(a) Assuming the data can be modeled by a normal probability density function,find a model for these data.h
(b) Use a graphing utility to graph the model.Be sure to choose an appropriate viewing window.
(c) Find the derivative of the model.
(d) Show that f ' > 0 for x < µ and f' < 0 for x > µ.
1 answer:
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The equation of a line that is perpendicular to the given line is y = –4x – 16.
Solution:
The equation of a line given is y = 0.25x – 7
Slope of the given line() = 0.25
Let be the slope of the perpendicular line.
Passes through the point (–6, 8).
<em>If two lines are perpendicular then the product of the slopes equal to –1.</em>
Point-slope intercept formula:
and
Substitute these in the formula, we get
Add 8 on both sides of the equation.
Hence the equation of a line that is perpendicular to the given line is
y = –4x – 16