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The labor cost in dollars for manufacturing a precision camera can be approximated by
f(x,y)=3/2x^2+y^2-2x-2y-2xy+68
Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor charge.
A random sample of size 25 is taken from a normal population having a mean of 80 and a standard deviation of 5. A second random sample of size 36 is taken from a different normal population having a mean of 75 and a standard deviation of 3.
Let N be a positive integer. Let d be an integer relatively prime to phi(N) (phi denotes the euler totient function). Prove that there exists a d' in Z (=integers) with dd'=1 mod phi(N).
Calculate the mean for the grouped data.
Probability and computing the odds. Compute the odds of each of the following events and rank them in order of decreasing likelihood.
Determine the coefficient of determination. Interpret its value.
Probability using Bayes theorem. An oil executive has determined that the probability that this oil field contains oil is 0.6. Before starting the drilling she decides to order a seismological test to see if there is oil in the ground.
Find the slope and the y-intercept of the line represented by the equation: 2x + y = 14. Write the equation of a line in slope-intercept form with the slope of -4/5 and y-intercept (0, -3)
Important information about Sets and Probability, A marble is drawn from a box containing 3 yellow, 4 white, and 8 blue marbles. Find the odds in favor of drawing the following.
Use a diagram to list the sample space showing possible arrangements of heads and tails when four coins are tossed . Then use the sample space to find the probability that:
Rate of change over the time intervals .
Probability and Expected Cash Flow in Marketing Management. Cooper Construction is considering purchasing new, technologically advanced equipment. The equipment will cost $625,000 with a salvage value of $50,000 at the end of its useful life of 10..
Calculating The Probability For a Normal Random Variable. The ages of 50 women are approximately normally distributed with a mean of 48 years and a standard deviation of 5 years. One women is randomly selected from the group, and her age is observ..
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