Kara uses 3 1/2 cups of flour to make 2 dozen cookies. How many cups of flour will she need to make 60 cookies?
1 answer:
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The standard deviation for the number of times an odd number is rolled is 15.8
<h3>How to determine the standard deviation?</h3>The given parameters are:
Die = regular six-sided die
n = 1000
The probability of rolling an odd number is:
p = 1/2 = 0.5
The standard deviation is then calculated as;
This gives
Evaluate the products
Evaluate the root
Hence, the standard deviation is 15.8
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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.