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Find the mean of the discrete random variable X with the following probability distribution, X={3, 2, 1, 0} and P(X) = {.125, .375, .375, .125}.

On-the-job experience typically enhances a person’s productivity in that particular job. If theperson’s salary increases to reflect increased experience but the additional experience has no relevance for other jobs, does this higher salary reflect an increase in opportunity cost or in economic rent?

You exert an upward force of 6.5N on 1 pound of sugar. Consider the FG on sugar. What is the net force on the sugar?


Calculate the mass (g) of magnesium oxide produced when 500 g of magnesium reacts with oxygen in the air.


2Mg + O2 → 2MgO


Calculate the pH of an acetic acid solution at 3.20 x 10-4 mol/L (% ionization = 1.30%).


Determine the [H3O+(aq)] of a solution with a pH of 3.45.

Expressed in scientific notation, the answer is in the form a,b × 10–c.


red giant star becomes exhausted of nuclear fuel, the outer material is blown off into space leaving the inert Carbon. The remnant is known as WHITE DWARF.

the star is unable to generate heat when it runs out of hydrogen in its core leading to its contraction and expansion. It cools down and glows red. The helium fused into Carbon. The star is now a RED GIANT.

impact on equilibrium price and quantity in the market

for Starbucks coffee lattes if the cost of producing them increases


Forces 32 kN, 24 kN, 24 kN and 120 kN are concurrent at origin and are respectively directed through the points whose coordinates are A (2, 1, 6), B (4 –2, 5), C (–3, –2, 1) and D (5, 1, –2). Determine the magnitude of the resultant and the angles it makes with coordinate axes


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