In Problems 55-66, express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Labor costs. Labor costs for a farmer are $ 120 per acre for corn and $ 100 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $15,000 on labor?
In Problems 55-66, express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph. Labor costs. Labor costs for a farmer are $ 120 per acre for corn and $ 100 per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than $15,000 on labor?
In Problems 55-66, express your answer as a linear inequality with appropriate nonnegative restrictions and draw its graph.
Labor costs. Labor costs for a farmer are
$
120
per acre for corn and
$
100
per acre for soybeans. How many acres of each crop should the farmer plant if he wants to spend no more than
$15,000
on labor?
Prove let Aand B submodul of M
A is large sub podule A large of B
and B large of M.
SM
B Smale sub module B/A smal of M/A
and As Mallof M.
Give example and expleain caim.
Amonorphism and split
d) Determine the following group: Hom, (Q,Z)
and Ho M₂ (Q, Q) and Hom (2/12, Q) =
Q2: Using the Laplace transform, find the solution for the following equation
y"" +y" = 6et + 6t + 6. Suppose zero initial conditions (y"" (0) = y"(0) = y'(0) = y(0) = 0).
1- Let A = {A1, A2, ...), in which A, A, = 0, when i j.
a) Is A a π-system? If not, which element(s) should be added to A to become a π-system?
b) Prove that σ(A) consists of the finite or countable unions of elements of A; i.c., A E σ(A) if and
only if there exists finite or countable sequence {n} such that A = U₁An (Hint: Let F be such
class; prove that F is a σ-filed containing A.)
c) Let p ≥ 0 be a sequence of non-negative real numbers with Σip₁ = 1. Using p₁'s, how do you
construct a probability measure on σ(A)? (Hint: use extension theorem.)
2- Construct an example for which P(lim sup A,) = 1 and P(lim inf An) = 0.
Elementary Statistics: Picturing the World (7th Edition)
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