Answer:
D
Step-by-step explanation:
When you do a power to a power you multiply
4 * 2/9 = 8/9
Answer:
0.917915
Step-by-step explanation:
Exponential distribution is expressed as it follows
F (y,λ) = 1 – e ^(- λ(y)
)
Where λ is equal to 1/ population mean
So λ = 1/2.8 = 0.357
Let y be the length of time a costumer wait on hold
Now, let´s find the value for y = 7 minutes, which is the proportion of costumer that wait on hold
P (y<7) = 1 – e^(- .357*(7)
)
P (y<7) = 0.917915
Answer:
c) 18 units
d) 1 second
Step-by-step explanation:
h = -16t² - 4t + 20
c) t = 0.25
h = -16(0.25)² - 4(0.25) + 20
h = 18
d) -16t² - 4t + 20 = 0
4t² + t - 5 = 0
4t² + 5t - 4t - 5 = 0
t(4t + 5) - (4t + 5) = 9
(4t + 5)(t - 1) = 0
t = -1.25, 1
t = 1 second
Procedure:
1) Integrate the function, from t =0 to t = 60 minutues to obtain the number of liters pumped out in the entire interval, and
2) Substract the result from the initial content of the tank (1000 liters).
Hands on:
Integral of (6 - 6e^-0.13t) dt ]from t =0 to t = 60 min =
= 6t + 6 e^-0.13t / 0.13 = 6t + 46.1538 e^-0.13t ] from t =0 to t = 60 min =
6*60 + 46.1538 e^(-0.13*60) - 0 - 46.1538 = 360 + 0.01891 - 46.1538 = 313.865 liters
2) 1000 liters - 313.865 liters = 613.135 liters
Answer: 613.135 liters
Answer:B
B
N
B
Step-by-step explanation: