The radius of a face-off circle on an NHL hockeyrink is 15 ft. What is its circumference?
2 answers:
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Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.
a. The boundary of the hemisphere is the circle in the plane
, where the curl is
. Green's theorem applies here, so that
which means the value of the line integral is 3 times the area of the circle, or .
b. The closed sphere has no boundary, so by Stokes' theorem the integral is 0.
Answer:
The predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.
Step-by-step explanation:
The least square regression line is used to predict the value of the dependent variable from an independent variable.
The general form of a least square regression line is:
Here,
<em>y</em> = dependent variable
<em>x</em> = independent variable
<em>α</em> = intercept
<em>β</em> = slope
The regression line to predict the life expectancy of men in a country from the life expectancy of women in that country is:
Compute the life expectancy of men in a country in which the life expectancy of women is 70 years as follows:
Thus, the predicted life expectancy of men in a country in which the life expectancy of women is 70 years is 65.33 years.