DB/dt = k*B
dB/(kB) = dt
Integrating both sides:
1/k*ln|B| = t + C
B = C*e^(kt)
At time t = 0, B = 4000 and at time t = 3 (3 hours past 9 AM), B = 4500
4000 = C
4500 = 4000*e^(3k) => k = 1/3*ln(9/8)
At time t = 15 (Midnight), B = 4000*e^(1/3*ln(9/8)*15) = 4000*(9/8)^5 = 7208 bacteria
Answer:
B. The individual events are dependent. The probability of the combined event is 3.772%.
Step-by-step explanation:
The individual events are dependent because you would have to draw 2 red candies in a row. After the first drawing, there would be one less red candy in the bag, which would affect the second drawing.
First drawing probability: 11/54, or 20.370%
Second drawing probability: 10/54, or 18.519%
Combined probability: 20.370*18.519 = 3.772%
Answer:
75 = GXD
Step-by-step explanation:
We know that CXE is a straight line
A straight line is 180 degrees
CXE = CXG + GXD +DXE
Substituting what we know
180 = 85+ GXD + 20
Combine like terms
180 = 105+GXD
Subtract 105 from each side
180-105 = 105-105 +GXD
75 = GXD
