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Four buses carrying 144 high school students arrive to Montreal. The buses carry, respectively, 30, 50, 25, and 39 students. One of the students is randomly selected. Let X denote the number of students that were on the bus carrying this randomly selected student. One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations of X and Y.
In the problem below, assume that the relationship can be expressed as a linear equation in two variables, and use the given information to determine the equation. Express the equation in slope-intercept form.
Transform the following linear programming model into proper form for solution by the simplex method (including the artificial variable) and generate the initial simplex tableau. Determine the entering variable and leaving variable.
Use an ANOVA with alpha=.05 to determine whether there are any significant differences among the three treatments.
Find the x-coordinate of the points of inflection of f(x) = 47 + 13x + 18x^ 2 + 4x^ 3 - x^ 4
For any given circles R and R' in C_oo, there is a mobius transformation T such that T(r)=R'. Further, we can specify that T take any 3 points on R onto any 3 points of R'. If we do specify Tz_j for j=2,3,4 (distinct z_j in R), then T is unique.
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
Finding the centroid of the area bounded by the x- axis and a parabola - Determine the centroid of the area bounded by the parabola
Find the volume of the solid formed when when the graph of the region bounded by y=e^x, x=0, x=2, and y=0 is revolved about the x-axis.
Evaluate the integral log3(x)/(2x). Evaluate the integral sinh^6(x)*cosh(x) dx. Evaluate the integral x^2 * sin(2x) dx. Evaluate the indefinete integral sin^5(x) dx
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
Show that if R and S are commutative rings with 1, phi:R-->S is a homomorphism of R onto S, and I is an ideal of R, then phi[I]={phi(r): r included in I} is an ideal of S.
Find a solution of the differential equation that satisfies the initial condition y(1) = 3.
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