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Determine whether the random variable x is discrete or continuous. Explain.

  • . Let x represent the number of cars in a university parking lot.
  • Let x represent the length of time it takes to complete an exam.
  • Let x represent the number of times a book is issued from the library.
  • Let x represent the number of tornadoes in the month of May in Oklahoma.
  • Let x represent the weight of a student’s school bag.

A golf ball is driven with an initial velocity of 161 fps


upward at 30 ̊ to the horizontal from an elevated tee


64.4 feet above a level fairway. What horizontal


distance will the ball travel before hitting the fairway


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.

1. What are the significant contributions of the Spaniards and Americans to the development of science and technology in the Philippines?


2. How does the "Balik Scientist Program" and other science-related laws help to develop the status of scientific and technological innovation of the country?


3. What are the major accomplishments of Duterte's administration for the development of science and technology?


4. Cite three (3) famous Filipino scientists and explain their contribution and inventions.

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.



Clearly expain how physical setting could contribute to teacher's to learner's daily practices


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


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