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Construct a probability distribution, graph the probability distribution using a histogram and describe its shape.

  •  Cars The number of Sedan cars per household in a small town

Cars 0 1 2 3

Households 598 462 381 259


  • Use the probability distribution you made in the exercise below to find the probability of randomly selecting a household that has (a) one or two cars, (b) less than two cars, (c) between one and three cars, inclusive, and (d) at least two cars.
  • In the exercise, would it be unusual for a household to have three Sedan cars? Explain your reasoning.

a box starting from rest and slides down an inclined plane with uniform acceleration and travels 9 m in 3 s. in what time from rest will it acquires a velocity of 24m/s down the plane


A curve has an x-intercept at * = 1. At its y-intercept of y = -3, the curve's tangent line

has a slope of -1. Find the equation of this curve in the form y

= ax2 + hx+c


The maximum likelihood estimate for λ

 of a Poisson distribution P(X=x)=f(x,λ)



In the market for tourist e-book guides, the aggregate demand and aggregate supply are given by the equations:

Qd= 2000 – 400P + 0.5I +150Pb

Qs= -516 + 300P – 60W

 

where Qd and Qs is quantity of tourist e-book guides demanded and supplied, Pis the price of a tourist e-book guide, I is household income, W is wage rate paid to tourist book guide laborers, and Pb is the price of a hardbound tourist bookguide. Assume I is Php 2,300, W is Php10, and Pb is Php 21.40. Determine the equilibrium price and quantity of tourist e-book guides in this local market. Show your solution.



Which of the following events in the HR/Payroll cycle are typically modeled as having an M:N relationship to the agents who participate in that event? (Check all that apply.)

A. Training

B. Hire applicants

C. Evaluate performance

D. Time worked


In the financing cycle, which event(s) contain information about dividend payments?

A. None of these are correct

B. Issue debt

C. Disburse cash

D. Issue stock


In the financing cycle, which event(s) contain information about the amount of cash received from investors?

A. Disburse cash

B. Receive cash

C. Issue stock

D. Issue debt Submit


In the financing cycle, which event stores information about the amount of interest paid on a specific date on a company’s long-term debt?

A. Cash

B. Issue Stock

C. Issue Debt

D. Disburse Cash


Who is the external party involved in the Disburse Cash events that represent payments of dividends or interest on debt?

A. Transfer agent

B. Creditor

C. Investor

D. Cashier


1. A boy wants to throw a water balloon from a roof deck at a height of 3m from the street and hit the far side of the street. He throws the ball at 5 m/s at an angle of 45° to the horizontal. If Vboy = 0, what is the maximum height, h, reached by the balloon above the street?

A. h= 5.9 m B. h = 5.1 m C. h = 3.6 m D. h= 4.6 m


2.This time, suppose the boy gets a running start, vboy = 5m/s toward the street. What is the speed of the balloon, V balloon, when it hits the street


Write a program to ask the user to input a value representing a score on a test. The value entered should be between 0 and 100. Use a IF control structure to output a message containing the letter grade corresponding to the score using the following table.

Score Letter grade

0-40 F

41-55 D

56-70 C

71-85 B

86-100 A


1.what is the z-score of 40 in a math test when the mean is 58 with a standard deviation of 9?

Where would an REA diagram for the HR/payroll cycle store information about total hours an employee worked in order to calculate payroll?

A. None of these are correct

B. In the employee time table

C. In the time worked table


Where would an REA diagram for the HR/payroll cycle store information that can be used to bill a client for the time employees spent working on a task for that particular client?

A. None of these are correct

B. In the time used table

C. In the employee time table

D. In the time worked table


Which table would a manager query in order to assess how much time an employee spent performing various functions?

A. Evaluate performance

B. None of these are correct

C. Time worked

D. Time used


In an REA diagram of the HR/Payroll cycle, which of the following is a resource entity?

A. Skills

B. Applicants

C. None of these are correct

D. Training


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