The marketing research department of a computer company used a large city to test market the firm's new laptop. The department
1 answer:
Answer:
a. Local maximum = 50 units per week.
b. The graph is never concave upward.
c. (0, 80)
Step-by-step explanation:
a. The revenue function is:
The derivate of the revenue function for which R'(x) = 0 gives us the local extrema:
The second derivate of the revenue function determines if x =50 is local maximum or minimum:
Since the second derivate yields a negative value, x = 50 units per week is a local maximum.
b. Since there are no local minimums in the range of 0 < x < 80, the graph is never concave upward.
c. Since there is only one local maximum in the range of 0 < x < 80, the graph is concave downward from x>0 to x<80 or (0, 80)
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Answer:
There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.
Step-by-step explanation:
For each U.S. resident, there are only two outcomes possible. Either they have blood type AB, or they do not. This means that we can solve this problem using binomial probability distribution concepts.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinatios of x objects from a set of n elements, given by the following formula.
And is the probability of X happening.
In this problem, we have that:
50 U.S residents are sampled, so
4% of the U.S population has blood type AB, so .
What is the probability that exactly 2 of the U.S. residents have blood type AB?
This is P(X = 2). So:
There is a 27.62% probability that exactly 2 of the U.S. residents have blood type AB.
9514 1404 393
Answer:
x-intercept: 7/6
Step-by-step explanation:
The x-intercept is found by solving for x when y=0.
0 = 6x -7
7 = 6x . . . . . add 7 to both sides of the equation
7/6 = x . . . . divide both sides by 6
The x-intercept is 7/6 = 1 1/6 ≈ 1.167.
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The y-intercept is the constant in the given equation: -7. The slope of 6 tells you the line rises 6 units for 1 unit to the right. So, the point (1, -1) is another point on the graph. The line through those two points, (0, -7) and (1, -1), will intersect the x-axis at x=7/6.
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: