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What is the molality of a solution of 2.50g H3PO4 dissolved in 240g water? Show complete solution.

Calculate the Molarity of each of the following solutions:


a. 185 g of sucrose, C12H22011 in 1.00 L of solution


b. 6.30 g of HNO3 dissolved in 255 ml of solution.

A saline solution is prepared by dissolving 5.04 g of NaCl in 95.0 g of water. Calculate the following:



a. Mole fraction of the solute and the solvent b. % mass of the solute


c. Concentration of solution in ppm


Show complete solution.

A car starting from rest passes two successive milestones A and B that are 250 m apart. It takes 60 s to pass A and another 60 s to pass from A to B. Find the velocities of the car when it passes milestone A and milestone B. Assume that the acceleration of the car is uniform 


Suppose you are given the following information about some hypothetical economy and its national income accounts. Use this information to answer the questions that follow. (Amounts are in billions of dollars)

Indirect Business Taxes

$198

Corporate profits

$251

Corporate profits taxes

$96

Retained earnings

$74

Proprietors' income

$123

Rents and interest earned

$148

Exports

$157

Imports

$224

Income Earned from rest of world by US citizens

$219

Income Earned by rest of world in US

$219

Net Domestic Product

$2151

Government expenditures

$483

Transfer Payments

$510

Social Security Taxes (employee & employer)

$370

Consumption expenditures

$1505

Gross Investment

$470

Disposable personal income

$1673

Required;

                   gdp



A 150-V battery is connected across two parallel metal plates of area 28.5 cm² and separation 8.20 mmm. A beam of alpha particles (charge +2ê , mass 6.64 x 10-²⁷ kg) is accelerated from rest through a potential difference of 1.75 kV and enters the region between the plates perpendicular to the electric field. What magnitude and direction of magnetic field are needed so that the alpha particles emerge undeflected from between the plates?

What is library in python?

A singly charged ion 7 Li (an isotope of lithium) has a mass of 1.16 x 10 –²⁶ kg. It is accelerated through a potential difference of 220 V and then enters a magnetic field with magnitude 0.723 T perpendicular to the path of the ion. What is the radius of the ion's path in the magnetic field?

10. Determine the probability density function for the cumulative distribution function



shown below.




F {0, x < −2



0.25x + 0.5, −2 ≤ x < 1



0.5x + 0.25, 1 ≤ x < 1.5



1 x > 1.5




Determine also the following probabilities.



(a) P(X > −1)



(b)P(X < 1.3)



(c) P(−1.5 ≤ X ≤ 1.8)



(d)P(X < 1.5)

From the probability mass function f(x) =2x+1/25



for x = 0,1,2,3,4, find the



cumulative distribution function of the random variable X. Using F(x), determine



the following probabilities.



(a) P(X ≤ 1)



(b)P(2 ≤ X < 4)



(c) P(X < 3)

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