You are given the probability that an event will happen. Find the probability that the event will not happen.

A. 1
B. 0.2
C. 0.1
D. 0.8
E. 0


Answer: B

Mathematics

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Find the flux of the vector field F across the surface S in the indicated direction.F(x, y, z) = zk , S is the surface of the sphere x2 + y2 + z2 = 16 in the first octant , direction away from the origin

A. 0
B. ?
C. ?
D. 16?

Mathematics

Use transformations to graph the function. Determine the domain, range, and the equation of the horizontal asymptote of the function.f(x) = -x + 2

A. domain: (-?, ?); range:(3, ?) 
horizontal asymptote: y = 3

B. domain: (-?, ?); range:(3, ?) 
horizontal asymptote: y = 3

C. domain: (-?, ?); range:(2, ?) 
horizontal asymptote: y = 2

D. domain: (-?, ?); range:(2, ?) 
horizontal asymptote: y = 2

Mathematics

Multiply or divide, as indicated. Simplify the answer.

A. 2 B. 2i C. -2 D. -2i

Mathematics

Calculate the unit vector u = (cos ?)i + (sin ?)j for the given direction angle.? = ?

A. j B. -i C. -j D. i

Mathematics