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From the past experience, a prof knows that the test score of a student taking his final xm is a random variable with mean 75 and variance 25.what os can be said about the probability that a student will score between 65 and 85.

You intercept the message "KVW?TA!KJB?FVR."(The blanks after? and R are part of the message,but the final is not.You know that a linear enciphering transformation is being used with a 30- letter alphabet, in which A-Z have numerical equivalents 0-25, blank=26, ?=27, !=28, .=29.You further know that the first six letters of the plain text are "C.I.A". Find the deciphering matrix A inverse and the full plain text message.


A sample random sample of size 4 is drown with replacement from a population with s.d. 6 what is the S. E of the sample mean?

1.    Calculate the pH of a buffer solution consisting of 0.50 M HC2H3O2 and 0.50 M NaC2H3O2 (buffer solution A). Ka of HC2H3O2 = 1.75 x 10-5.

a.     Calculate the new pH of the buffer solution after adding 0.020 mol HCl to 1.0 L of buffer solution A (5 pts).

b.    Calculate the new pH of the buffer solution after adding 0.020 mol NaOH to 1.0 L of buffer solution A (5 pts).


a simple pendulum has a period of 2.4s on earth. the height of the bob is 0.5m. what will linear velocity of the bob be at the bottom of its swing

What volume of 0.100 M K2S solution contains 3.5 g of the solute?




1.Predict whether ΔS is positive or negative for the reaction: N2(g) + O2(g) ⟶ 2NO(g)




2.Which has greater entropy? 1mole of NaCl(s) or 1 mol of HCl(g)




You are the Manager of a new computer manufacturing company, Fongkomputer. Tests have shown that the mean life time of your computers is normally distributed, and on average your computers last for only 9 months, with a standard deviation of 3 months. The managing director wants the chance of computer being returned within its guarantee period to be 10%. Suggest a guarantee period that will achieve this objective. Round your solution to the nearest month


Question 4

(a) You are developing a new colorimetric procedure for determining the glucose content of blood serum. You have chosen the standard Folin-Wu procedure with which to compare your results. From the following two sets of replicate analyses on the same sample, determine whether the variance of your method differs significantly from that of the standard method.

Your Method (mg/L): 127, 125, 123,130,131,126 and 129

Folin-Wu method (mg/L): 130, 128, 131, 129, 127,125



What are lactams? Write the structures of gama -butyrolactam and delta -valerobacteria and give their IUPAC names.

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