the functuon y=30+5x represents the cost y (in dollars) of having your dog groomed and buying x extra services. does this situat
1 answer:
We want to see if the given function represents a linear function.
We will see that yes, it does.
So we have the function:
y = f(x) = 30 + 5*x
And a general linear function is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
Comparing these two, we can see that both have the same general shape, thus, our function is also a linear function.
A graph of our function also can be seen below, where it is evident that it is a line.
If you want to learn more, you can read:
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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: