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Find the mean of the probability distribution of a random variable X which can take



only the values 3, 5, and 7, given that P(3)=7/30, P(5)= 1/3, and P(7)=13/30

how many joules are required to heat 69g of water(liquid) from 69c to 96 c


Find the mean of the probability distribution of a random variable X which can take



only the values 1, 2, and 3, given that P(1)=10/33, P(2)= 1/3, and P(3)=1/33

the metal plates of capacitor a has an area of 1m^2 separated by a diatance of 0.002m. if a pyrex glass is inserted in between the plates, (a) what will be the change in capacitance? (b) how much energy was stored after insertion if it has a potential difference of 12v?


1.      Define heat

of formation/standard heat of formation ΔHfo.

2.      Discuss

standard state and give examples (Padolina et al., 1995).

3.      State that

values of standard states of formation are important because these are

conveniently used to calculate changes in enthalpy, ΔH of many 

     reactions.  

4.      Give

examples that illustrate the use of standard heats of formation in

calculating changes in enthalpy or ΔH of reactions.


DEADLINE : 03/25/2022

A geometric progression has a second term of 12 and a sum to infinity of 54. Find the possible values of the first term of the progression


Suppose that in a casino, a certain slot machine pays out an average of Php 15, with a standard deviation of Php 5,000. Every play of the game costs a gambler Php 20.


a. Why is the standard deviation so large?

b. If your parent decides to play with this slot machine 5 times, what are the mean and standard deviation of the casino's profit?

c. If the gamblers play with this slot machine 1000 times in a day, what are the mean and standard deviation of the casino's profits?


A cache of Hebrew manuscripts known as the Dead Sea Scroll was found in 1947. The

specific activity of Carbon-14 in the linen wrappings of the book of Isaiah was about

0.200 disintegration per second per gram (dps g-1.). Carbon-14 in living materials has

a specific activity of 0.255 dps g-1. The half-life of Carbon-14 is

5.73 x103 years. Carbon-14 decay by First order rate law. Calculate the approximate

age of the linen


1.Create a console program that will perform the following:


•Ask the user to enter five (5) grades


•Compute the average of the grades


•Round of the average using method of Math class



2. Name the project as ComputeAverageApp and the class as ComputeAverageProgram.



Example output:


Enter 5 grades separated by new Line.


90


83


87


98


93


The average is 90.2 and round off to 90.

Write a program that defines the named constant PI, const double PI = 3.14159;, which stores the value of π. The program should use PI and the functions listed in Table 6-1 to accomplish the following:

  • Output the value of √π .
  • Prompt the user to input the value of a double variable r, which stores the radius of a sphere. The program then outputs the following:
  • The value of 4.0πr², which is the surface area of the sphere.
  • The value of (4.0/3.0)πr³, which is the volume of the sphere.
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