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Calculate the volume of 0.5 mole of math one (CH4) at 27°c and 760 torr


Calculate the volume of 0.5 mole of math one (CH4) at 27°c and 760 torr


An educational researcher found that the average entrance core of the incoming freshmen in a university is 84. A random sample of 24 students from a public school was then selected and found out that their average score in the entrance exam is 88 with a standard deviation of 16. Is there any evidence to show that the sample students from public school performed better than the rest in the entrance examination using the 0.01 level of significance?


A random sample is drawn from a population of known standard deviation 22.1. Construct a 95% confidence interval for the population mean based on the information given (not all of the information given need be used).

a. n=121, x¯=82.4, s=21.9 n=121, x¯=82.4, s=21.9

b. n=81, x¯=82.4, s=21.9 n=81, x¯=82.4, s=21.9


Write a java program using two-dimensional arrays that determines the ODD numbers among the 12 input values typed from the keyboard and prints the list of these ODD numbers.

A random sample is drawn from a population of known standard deviation 11.3. Construct 90%confidence interval for the population mean based on the information given (not all of the information given need be used).



a. n=36, x¯=105.2, s=11.2n=36, x¯=105.2, s=11.2




b. n=100, x¯=105.2, s=11.2n=100, x¯=105.2, s=11.2

1.Find the area of the region that lies inside the circle r =3sinx and outside the cardioid

r = 1+sinx



Let R1 = {(1, 2), (2, 3), (3, 4)} and R2 = {(1, 1), (1, 2), (2, 1), (2, 2), (2, 3), (3, 1), (3, 2), (3, 3), (3, 4)} be relations from {1, 2, 3} to {1, 2, 3, 4}. Find R1 − R2


5.6 Assessment Task




Directions. Answer the following items. You may use online calculators and solvers in answering.




1. For each of the following data sets determine the mean:




a. 72, 14,8, 11,57,54,31, 11,67,11,19,3,66 b. 63,9,87,16, 2, 96,13,67,34




c. 1,6,8,2,7,2,9,4,8,9,8,6 d. 12, 0,4,5,8, 3,6, 35,47




e. 2, 7, 17, 33, 67,73, 88, 33, 92, 57,33




2. For each of the following data sets determine the median:




a. 48, 78, 10, 66, 45, 57,96,67, 40, 66, 63,8, 20 b. 28, 3, 10, 60, 8, 23, 45, 97,11, 10




c. 6,9,1, 6, 4, 8, 1, 7, 8, 3, 1, 0




d. 63, 9, 86, 16, 2, 97,24, 67, 34,40 e. 8, 4, 64, 99, 11, 42, 15,88, 54, 77,42




3. For each of the following data sets determine the mode:




a. 98, 37,5,33, 96, 67, 43, 33, 91, 33,32,8,11 b. 104, 2, 51,31,8, 101, 104, 18,47




c. 3, 4, 5, 3,9,8,5,7,2,5,1




d. 19, 1,9,6,4,2,13,15,24,2




e. 8,9,39,44,55,90,19,44,28,69,44




43/76

Solve the following recurrence relation




a) T(n)=T(n-1) +1,for n>2 and T(1)=1

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