Expand the binomial (4x + 3y)3. The coefficient of the second term in the expansion of the binomial (4x + 3y)3
2 answers:
Answer:
The coefficient is 144.
Step-by-step explanation:
We have the binomial:
The general formula for cubic binomials is:
<em>Observation: if you solve that the result is the general formula. The same for
</em>
Then we have:
The coefficient is the number before the variable, then the coefficient of the second term in the expansion of the binomial is 144.
You might be interested in
Answer:
The value is
Step-by-step explanation:
From the question we are told that
The probability of the device failing during the warranty period is
The sample size is
The random variable considered is x = 15
Generally this is distribution is binomial given the fact that there is only two out comes hence
X which is a variable representing a randomly selected selected electronic follows a binomial distribution i.e
Now the mean is mathematically evaluated as
=>
=>
The standard deviation is mathematically represented as
=>
=>
Now given that n is very large, then it mean that we can successfully apply normal approximation on this binomial distribution
So
Now applying Continuity Correction we have
Generally
From the z-table
Thus