how to write a system of linear equation that represents the situation you sell 14 more tickets than your friend sells together
1 answer:
We will call the number of tickets you sell and the number your friend sells
. Given this, we can create the first equation, which is:
- This shows that the number of tickets you sold is equal to the number your friend sold + 14, which symbolizes that you sold 14 more tickets than your friend
We can also create the second equation:
- This shows that the number of tickets you sold along with the number of tickets your friend sold is equal to 58 tickets in total
Thus, our system would be:
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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: