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Question: Suppose that every student in a discrete mathematics class of 25 students is a freshman, a sophomore, or a junior.
a) Show that there are at least nine freshmen, at least nine sophomores, or at least nine juniors in the class.
b) Show that there are either at least three freshmen, at least 19 sophomores, or at least five juniors in the class.
How many weighings of a balance scale are needed to find a counterfeit coin among eight coins if the counterfeit coin is either heavier or lighter than the others? Describe an algorithm to find the counterfeit coin using this number of weighings.
Consider the region bounded above by the graph of f(x) = 4/√x and below by the x-axis for 1 ≤ x ≤ 9. Sketch a graph of this region. Find the average value of f on this interval
develop a three- to four-page analysis excluding the title and reference pages on the projected return on investment
Hey Norman window has the shape of a rectangle surmounted by a semi circle supposing Norman window is to have a perimeter of 28 feet find the function in the variable X giving the area of the window.
you wish to have 500000 saved up in 30 years. assuming that you can get an interest rate of prime 5 on your investment
Write and equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. f(x) = (3x^2 + 5x + 4)(4x + 3), x=0
We can say, interpolation is a technique of finding the value of a function inside the given range of arguments. Suppose, we have the values of y =f (x) for set of values of x. We have the data, x (argument): x1, x1, x2…xn and the corresponding value..
When we speak, we convey not only information but emotional tone as well. Ambady et al. (2002) investigated the relationship between the emotional tone used by surgeons as they talked to patients and the surgeon's history of being sued for malprac..
The sum of the page numbers on the facing pages of a book is 381. Find the larger page number.
Assume that the temperature of the body at the time of death was 98.6 fahrenheit and that is has cooled in accourd with Newton's law. What was the time of death ?
A plane is heading due south and climbing at the rate of 90 km/hr. If its airspeed is 470 km/hr and there is a wind blowing 110 km/hr to the northwest, what is the ground speed of the plane?
Why is it that the statement "all rhombuses are squares" is false, but the statement "all squares are rhombuses" is true? Use an example to help with your explanation.
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