There are two machines available for cutting corks intended for use in wine bottles. The first produces corks with diameters tha
1 answer:
Answer: 0.7887
Step-by-step explanation:
Let x be the random variable that represents the diameters of the corks .
Given : The first produces corks with diameters that are normally distributed with mean 3 cm and standard deviation 0.08 cm.
i.e.
Acceptable corks have diameters between 2.9 cm and 3.1 cm.
Then, the probability that the first machine produces an acceptable cork will be :_
∴ The probability that the first machine produces an acceptable cork= 0.7887
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Answer:
with the video game cost of x = $6
This agrees with the last option in the list of possible answers
Step-by-step explanation:
Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:
is given by:
In our case, the quadratic expression that generates the parabola is:
then the x-position of its vertex is:
This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:
This value is the highest weekly profit (y = $246).
Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position :
Therefore the answer is:
with the video game cost of x = $6