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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.
Describe how the Fibonacci sequence can be found in Pascal's triangle, then illustrate it using Pascal's triangle.
Evaluate the area of the rectangle - Write a polynomial that represents the area.
State the domain of the following and provide a brief explanation fgor your answer: a) f(x)=sqrtx+4 b) g(x)= 2x+1/x-7 c) h(x)=3x^2+5x-3 d) l(x)=2x+3 e) m(x)=3/x^2+7
Prove that if f is a differentiable function with f´(x) > 1 for all x, then there is at most one c such that f(c) = c. [Use the Mean Value Theorem]
the function w(d)=0.112d approximates the amount, in centimeter,s, of water that results from d cm of snow melting. Find the amount of water that results from snow melting from depthsof 10cm, 38cm, and 57cm.
I need assistance in solving the following linear system for x using Cramer's rule and must show the work:
Reals with the "finite complement topology:" U open in X if U - X is finite or is all of X. Why compact? Why not regular? Reals with the "countable complement topology:" U open in X if X - U is countable or is all of X. Why not compact? Why not regul..
Linear Fractional Transformation, Consider the transformation w = (i - z) / (i + z). The upper half plane Im z > 0 maps to the disk |w|
Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4
Using the following data, obtained from an imaginary harness small manufacturing company, determine the correlation between the number of hours that an employee works and how many belts they produce:
Kendall Corners Inc. recently reported net income of $3.1 million and depreciation of $500,000. What was its net cash flow? Assume it had no amortization expense.
A. Use vector techniques to prove that a triangle and its medial triangle have the same centroid, stating each step of the proof. Provide written justification for each step of your proof.
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