|14+x|-5=k solve for k
1 answer:
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Answer:
And then we have the following parameters for the random variable Y
And the best option is:e. mean = $4.35, variance = $ .30.
Step-by-step explanation:
For this case we know the following info " The toll on the bridge is $3.00 per car plus $ .50 per person in the car"
So then we can create the following linear function:
Where Y represent the total amount of money that is collected from a car. And X represent the number of people in the car.
We have the parameters for the random variable X given by:
So then we can find the expected value for the random variable Y like this:
And if we replace the expected value for X we got this:
Now we can find the variance for the random variable Y like this:
We know that for a number we don't have variance since is a constant and the covariance between a number and a random variable is 0 so then we have just this for the variance of Y:
And then we have the following parameters for the random variable Y
And the best option is:e. mean = $4.35, variance = $ .30.
Answer:
(0,2.3) if only one choice expected.
(0,2.3) and (0,0) if "all that apply" expected, since (0,0) is also a vertex of the green region.
Step-by-step explanation:
From the attached diagram, the given answer optsions are shown in brown.
The red line shows the optimal combinations of the two variables, hence a maximization problem.
Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).
Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.
