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Suppose that a certain college class contains 38 students. Of these, are 26 sophomores, 15 are science majors, and 6 are neither. A student is selected at random from the class.
(a) What is the probability that the student is both a sophomore and a science major?(b) Given that the student selected is a sophomore, what is the probability that she is also a social science major?
A landscaper blends his own fertilizer which consists of four compounds at the listed price per lb: Formulate an LP problem to determine what blend of these compounds will minimize the cost of a 50lb bag of fertilizer given the following:
A fluid has density 4 and velocity field v=-yi+xj+4zk. Find the rate of flow outward through the sphere x^2+y^2+z^2=16
If a one person household spends an average USD 730 per week on groceries, calculate the minimum dollar amount spent per week for the middle 40 percent of one person households. Suppose that the standard deviation is USD 104 and the variable is norma..
Discuss the general shape and location of each of your graphs and state the domain and range for each of your equations. Write them in interval notation and state whether each of the equations is a function or not giving your reasons for the answer.
You have a choice to build a small new plant, do nothing (the value of this is zero), or build a large plant. We'll use Net Present Value to compute this.
The Kraft Co. manufactures computer chips at a variable cost of $4 per chip and sells them for $10 each. If the fixed cost is $12,000 per month, what is the number of chips they would need to produce at the break-even point?
A ramp begins at the end of a sidewalk and rises 15 vertical feet over a horizontal distance of 150 feet. Find the length of the ramp to the nearest tenth of a foot. (Hint: Use (0,0) for the end of the sidewalk.)
In order to purchase a home, a family borrows $267,000 at 10.8% for 15 yr. What is their monthly payment? Round the answer to the nearest cent.
A total of 393 tickets were sold for the school play. They were either adult tickets or students tickets. There were 57 fewer student tickets sold than adult tickets. How many tickets were sold?
A square has a 40-cm diagonal. How long is each side of the square? Round your answer to the nearest tenth of a centimeter.
Suppose that at a certain instant the volume is 540 cubic centimeters and the pressure is 83 kPa and is decreasing at a rate of 11 kPa/minute. At what rate in cubic centimeters per minute is the volume increasing at this instant?
for all x = (x1, x2), y = (y1, y2) ∈ V , α1, α2, β1, β2 some fixed real numbers, and scalar multiplication is the usual scalar multiplication. What values of α1 , α2 , β1 , β2 make V a vector space (over R).
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