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Determine the average rate of decomposition of H

3

PO

4

H3PO4 between 10.0 and 40.0 s

s.


You pay 168 dollars to play a lottery. A bin contains 91 balls labeled from 1 to 91. You draw a ball and you receive cash in the amount of 3 times the number shown on the ball. Let X be the number shown on the ball.


(a) Identify the probability distribution for the X.


Distribution = Parameter =    


(b) Calculate the probability that you get more money back than you have spent on the ticket.


P(you win) =    


(c) Calculate the average number that you will draw. Calculate the standard deviation for this number.

μ =    

σ =    


(d) Calculate the average amount that you will gain (winnings minus what you paid) by purchasing a ticket. Calculate the standard deviation associated to this number.


Average Gain (Winnings - paid) =    

SD of Gain =    


The following simple random sample was selected from a normal distribution: 4, 6, 3, 5, 9, and 3.

a.     Construct a 90% confidence interval for the population mean μ.

 

b.    Construct a 95% confidence interval for the population mean μ.

 

c.     Construct a 99% confidence interval for the population mean μ.


The Organisation of Petroleum Exporting Countries (OPEC) is an example of which


form of market structure? Discuss its characteristic features.

which one of the following has the lowest viscosity


A. Water

B. Motor oil

C. Marble syrup

D. Glue

E. None of the above


A projectile is launched vertically upward from the ground level with an initial velocity of 16 ft/s.




a. How long will it take for the projectile to hit the ground?




b. How long will the projectile be moving upward?

A boy in a hot air balloon drops his cellular phone when the balloon is 150 ft above the ground and rising at the rate of 10 ft/s.

a.How long will it take the cellular phone to reach the ground?

b. With what speed will it strike the ground?


Consider a solution initially containing 0.40 mol fluoride anion and 0.30 mol of hydrogen fluoride (HF). What is the pH after addition of 0.20 mol of HCl to this solution? (HF, Ka = 7.2 × 10(–4))? 



Suppose that equilibrium price in this market were to remain at P2 while equilibrium quantity increases to Q4. Which of the following could account for such a change?

A student obtained a score of 45 in Math and a score of 60 in Science. If the mean and standard deviation of the math scores are 26.4 and 7.2, respectively, while that of science are 42.5 and 12.6,


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