Let E and F be events with Pr(E) = 0.4, Pr(F) = 0.6, and Pr(E ? F) = 0.8. Find Pr(F|E).
Fill in the blank(s) with the appropriate word(s).
0.5
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Determine whether the given function satisfies a Laplace equation.f(x, y, z) = cos (7x) sin (-7y) e(
z)
A. Yes B. No
Provide an appropriate response. A trailer can haul 15 tons of freight, and a loadmaster (person who plans and loads trailers for over-the-road hauls) has an order to ship a truckload of bacterial hand soap to a Super Store Distribution Center. If one carton of the soap weighs 12.5 kilograms (including the weight of the carton and its contents), how many cartons can be loaded on the trailer without exceeding the weight limit?
A. 1,088 cartons B. 109 cartons C. 168 cartons D. 2,400 cartons
Solve the problem.Find the Celsius temperature when the Fahrenheit temperature is 104° F.
A. 
°C
B. 
°C
C. 40 °C
D. 72 °C
Determine the standard equation of the hyperbola with the given characteristics.The center is at (3, 5), a focus is at (0, 5), and a vertex is at (2, 5).
A. (x - 3)2 - 
= 1
B. 
- (y - 3)2 = 1
C. 
- (y - 5)2 = 1
D. (x - 5)2 - 
= 1