Daniel and Saquon are each saving money.
1 answer:
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First find the characteristic solution. The characteristic equation is
which as one root at
of multiplicity 2. This means the characteristic solution for this ODE is
For the nonhomogeneous part, you can try a particular solution of the form
which has derivatives
Substituting into the ODE, the left hand side reduces significantly to
and it follows that
Therefore the particular solution is
and so the general solution is the sum of the characteristic and particular solutions,
which as one root at
For the nonhomogeneous part, you can try a particular solution of the form
which has derivatives
Substituting into the ODE, the left hand side reduces significantly to
and it follows that
Therefore the particular solution is
and so the general solution is the sum of the characteristic and particular solutions,
Answer:
The probability that he answered neither of the problems correctly is 0.0625.
Step-by-step explanation:
We are given that a student ran out of time on a multiple-choice exam and randomly guess the answers for two problems each problem have four answer choices ABCD and only one correct answer.
Let X = <u><em>Number of problems correctly answered by a student</em></u>.
The above situation can be represented through binomial distribution;
where, n = number of trials (samples) taken = 2 problems
r = number of success = neither of the problems are correct
p = probability of success which in our question is probability that
a student answer correctly, i.e; p = = 0.75.
So, X ~ Binom(n = 2, p = 0.75)
Now, the probability that he answered neither of the problems correctly is given by = P(X = 0)
P(X = 0) =
=
= <u>0.0625</u>