Suppose that one-fourth of the new buildings in a town are in violation of the building code. If a building inspector inspects six of the buildings, find the probability (P1) that the first four buildings will pass the inspection and the remaining two will fail the inspection. Then find the probability (P2) that just four of the buildings will pass inspection. Round your answers to four decimal places, if necessary.
P1=___________________
P2=___________________
0.0198; 0.2966
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Solve the problem.A water tank is formed by revolving the curve y = 2x4 about the y-axis. Find the volume of water in the tank as a function of the water depth, y.
A. V(y) = 
y3/2
B. V(y) = 
y3/2
C. V(y) = 
y1/2
D. V(y) = 
y9
Find the time-and-a-half pay rate for the regular hourly pay rate.$20.50
A. $30.75 B. $41.00 C. $35.88 D. $28.70
Solve the inequality. Write the answer in set-builder notation.15n + 9 ? 3(4n - 5)
A. {n
-8}
B. {n
}
C. {n
-8}
D. {n
-8}
Solve the problem.The profit for a product is given by p = 2204 + x2 - 105x, where x is the number of units produced and sold. Graphically find the x-intercepts of this function to find how many units will give break-even (that is return a profit of zero).
A. 29 or 76 units B. They will never break even. C. 29 units D. 76 units