Answer:

And replacing using the mass function we got:
And adding the values we got:

Step-by-step explanation:
Let X the random variable of interest, on this case we now that:
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
We want to find the following probability:

And replacing using the mass function we got:
And adding the values we got:

9514 1404 393
Answer:
5/9 m/min
Step-by-step explanation:
The depth of the water is 2/5 of the depth of the trough, so the width of the surface will be 2/5 of the width of the trough:
2/5 × 2 m = 4/5 m
Then the surface area of the water is ...
A = LW = (18 m)(4/5 m) = 14.4 m²
The rate of change of height multiplied by the area gives the rate of change of volume:
8 m³/min = (14.4 m²)(h')
h' = (8 m³/min)/(14.4 m²) = 5/9 m/min
2^2. 2 and 2. Because 2 and 2
Answer:
the first step is to subtract the 2W from each sides of the equal sides
Step-by-step explanation:
P=2L+2W
the first step is to subtract the 2W from each sides of the equal sides
P-2W=2L+2W-2W
P-2W=2L