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Jay and Martin leave the UMUC campus simultaneously and set off in opposite directions. Jay's average rate is 25 mph faster than Martin's. After four hours of steady driving, the two are 460 miles apart. Find the average rate of each algebra student.
If a department has 10 men and 15 women, how many ways are there to form a committee with 6 members if it must have more women than men?
Evaluate the multiple integral under given condition using spherical coordinate - Convert the following triple integral to an appropriate coordinate system and evaluate.
Prove that f(x) is continuous at every irrational point and discontinuous at every rational point. Show that f is integrable on [0,1]
Complementary events. A pair of fair dice is rolled. Let E denote the event that the number landing uppermost on the first die is a 3, and let F denote the event that the sum of the numbers landing uppermost is 6. Determine whether E and F are ind..
A container will hold 1 ltr, you will need the following solutions for different purposes, how much concentrate will you need in each case.
Find the variation constant and an equation of variation where y varies directly as x and y= 72 and x=8
Show that the mean value theorem applies or does not apply to the following. f(x)=sqrt(25-x^2), [-4,4]. State the conditions clearly, and, if appropriate, find the c guarenteed by the theorem.
An Introduction to Economics class with 188 students meets in this lecture hall. What is the probability that at least one right-handed student in this class is forced to use a seat designed for a left-hander?
A set of data whose histogram is bell shaped yields a sample mean and standard deviation of 50 and 4, respectively. Approximately what proportion of observations are.
Find the volume of the solid bounded above by z=x^2 and abounded below by the region enclosed by y=2-x^2 and y=x. Find the volume of the solid in the first octant bounded by the coordinate planes z=4-y^2 and the plane x=3. Find the volume of the wedg..
A square sheet of cardboard 24 inches on a side is made into a box by cutting squares of equal size from each corner of the sheet and folding the projecting flaps into an open-top box
Determine the slope-intercept form of the line with x-intercept = -8 and y-intercept = -16 i.e. the line passes through the points (-8, 0) and (0, -16).
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