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Show that if 5/3< 2x< 11/3, then x∈{y∈R such that |y- 4/3| < 1/2}

Draw the graph of the function f, defined by f(x)= |x- 6| + |5 - x| ; x∈ [2,8]

If (an) is convergent then "\\sum_{i=1}^{\\infty} a_n" is also convergent. True or false with the full explanation.


The sum of two discontinuous function is always discontinuous function. True or false with full explanation

Every integrable function is monotonic. True or false with full explanation.



Convert 80mL (4.03g) of acetic acid into moles of acetic acid


In the class of Statistics, there are 75 students in total out of which 55 male, 20 female students. 10 students need to be selected for the occasion of freshers' reception.



a. What is the probability that 4 of the selected students would be girls?




1. 1.275 liter of saturated silver chloride AgCl contains 0.01892 g of

dissolved AgCl at 25℃. Calculate the Ksp for AgCl.

2/ Balance the redox reaction in a) acidic and b) basic solution.

Fe2+ + Cr2O7 2- -> Fe3+ + Cr3+

3 A sample containing iron is titrated with a 0.025 M potassium

dichromate K2Cr2O7 solution with H3PO4/H2SO4. The titration required

26.74 mL of K2Cr2O7 for 1.45 g sample. What is the percent iron in the

sample? (Use the balanced reaction in #2).


On average, 1.7 students using the Bank Islam ATM machine located outside of UMK Jeli Campus during any 30 minutes interval. Find the probability of exactly 3 students using the Bank Islam ATM machine during any 30 minutes interval.


The mean number of defective products produced in a factory in one day is 21. What is the probability that in a given day there are exactly 12 defective products?


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