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find the laplace tranform of the following
1-(t+5)^2cos10t
2-te^-10t sin^2 t
Program A Program B Program C Program D
Program Cost 14000 13000 14500 16000
Admin Fee 145 170 140 130
HR Staff Needed 3 4 4 3
Hours to Complete Training 25 28 25 30

A human resource manager is considering replacing a traditional program with a new virtual training program for 10 new employees. The salary of the HR staff is 20$ per hour, and the salary of new employees is $12.50 per hour.

Assuming quality of programs is equal, which is the most cost efficient?

A) Program A
B) Program B
C) Program C
D) Program D
E) All would be the same
Consider a purely probabilistic game that you have the opportunity to play. Each time you play there are n potential outcomes x1, x2, ..., xn (each of which is a specified gain or loss of

euros). These outcomes x1, x2, ..., xn occur with the probabilities p1, p2, ..., pn respectively (where p1 + p2 + ... + pn = 1.0 and 0 <= pi <= 1 for each i).

Positive xi values mean a gain of |xi| euros and negative values mean a loss of |xi| euros. Assume that x1, x2, ..., xn and p1, p2, ..., pn are all known quantities. Furthermore, assume that each play of the game takes up one hour of your time, and that only you can play the game (you can't hire someone to play for you).

Let M be the game's expected value. That is, M = p1*x1 + p2*x2 + ... + pn*xn. Let S be the

game's standard deviation. That is, S = SquareRoot( p1 * (x1 - M)^2 + p2 * (x2 - M)^2 + ...

+ pn * (xn - M)^2 ).

1) In the real world, should a rational player always play this game whenever the expected value M is not negative? Yes/NO Explain please...
Solve the Volterra equation φ(t)+∫t(t−x)φ(x)dx = t, for 0 ≤ t ≤ 1
Using the successive approximation. (Note that the answer should be φ(t) = sin(t) )
Ray and Neil have 17 marbles put together.Ray and Paul have 15 marbles put together. Neil and Paul have 14 marbles. How many marbles does each person have?
how the value of inventory is calculated using the periodic weighted average method of valuation (4 marks)
if a b c d are in continued proportion then(ma^3+nb^3-rc^3):(mb^3+nc^3-rd^3)=
United States Department of Labor, Bureau of Labor Statistics having a survey on Employed persons 16 to 24 years of age by industry, class of worker, race, and Hispanic or Latino ethnicity, July 2012-2013. Find the data file from the online assess of United States Department of Labor, Bureau of Labor Statistics, Economic News Release Data set.
http://www.bls.gov/news.release/youth.t03.htm Or find the attached file.
Note: All the United States divided in 4 major types of living people (White, Black or African American, Asian and Hispanic or Latino ethnicity) having jobs in different fields.
Read and understand the questions carefully then solve the following for White, Black, Asian and Hispanic.
1. Make suitable graphical representation of 2012 and 2013 that employed in education and health services in United States, check after one year, having any change in employees of education and health services in United States.
2. Make suitable graphical representation by comparison, to employee in agriculture and rela
Give two reasons why children usually find mathematical notations confusing. Support your
answer with illustrations pertaining to representing and reading time. How would you help your
learners become comfortable with the notation?
Explain what inductive and deductive logic are, and illustrate them in the context of measuring
time.
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