Solve -2(2x+5) -3(x-1)
1 answer:
<h2>Hello!</h2>
The answer is:
To solve the problem, we need to perform the operations and then, add like terms.
We need to apply the distributive property, which is defined by the following way:
Also, we need to remember how to add like terms. Like terms are terms that share the same exponent and the same variable, for example:
We were able to add only the first two terms since they are like terms, both are sharing the same exponent and the same variable.
So, we are given the expression:
Then, solving we have:
Hence, we have that the answer is:
Have a nice day!
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Answer:
And we can find the individual probabilities using the probability mass function
And replacing we got:
Step-by-step explanation:
Previous concepts
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Solution to the problem
Let X the random variable of interest "number of automobiles with both headligths working", 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:
And for this case we want to find this probability:
And we can find the individual probabilities using the probability mass function
And replacing we got:
