Step-by-step explanation:
First, let's move the to the right-hand side so we can determine what constant we'll need on the left-hand side to complete the square:
From here, since the coefficient of the term is
, we know the square will be
(since
it's half of
).
To complete this square, we will need to add to both sides of the equation:
Now we can take the square root of both sides to figure out the solutions to :
Answer:
120
Step-by-step explanation:
The subcommittee needs to contain 1 out of 3 freshmen, 1 out of 4 sophomores, 1 out of 5 juniors and 1 out of 2 seniors. Assuming order is not important, the number of possibilities to pick the subcommittee members is given by:
There are 120 possible subcommittees.
Answer:
0.5372
Step-by-step explanation:
Given that the number of births that occur in a hospital can be assumed to have a Poisson distribution with parameter = the average birth rate of 1.8 births per hour.
Let X be the no of births in the hospital per hour
X is Poisson
with mean = 1.8
the probability of observing at least two births in a given hour at the hospital
=
the probability of observing at least two births in a given hour at the hospital = 0.5372
