Mathematics, 14.12.2021 17:00, sophthetoast
A group of students want to build three identical rectangular gardens, each of
which has a width of x ft. The gardens will be arranged in one of two ways, as
showr by the plans below. The students have 480 ft of fencing and plan to build
a fenc around each of the three gardens. They will also install lighting for the
garders.
Plan A
Plan B
X
x
X
X
X
1. Suppose that the students use all of the fencing. Given that the width of a
small rectangular garden is x ft, write an expression in terms of x for the length
of one of the small rectangular gardens in Plan A. Then write an expression
in terms of x for the length of one of the small rectangular gardens in Plan B.
Explain.
Answers: 3
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The discrete random variables x and y take integer values with joint probability distribution given by f (x, y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x, y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).
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A group of students want to build three identical rectangular gardens, each of
which has a width o...
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