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How many positive integers less than 100 is not a factor of 2,3 and 5?



400 boys sit for an examination. 15% of them failed and 8% obtained distinction. How many failed and how many obtained distinction?


monthly payment of 5,000 for 5 years that will start 7 months from now?



calculate 〖16(60)〗^(3/4)×(10)^(1/4)


Q=16(60)POUR OF 3/4+(10)POUR OF 1/4


A.Find the period of deferral in each of the following deferred annuity problem (one




way to finnd the period of deferral is to count the number of artificial payments)




1.Monthly payments of P2,000 for 5 years that will start 7 months from now




2. Annual payments of P8,000 for 12 years that will start 5 years from now




3. Quarterly payments of P 5,000 for 8 years that will start two years from now.




4.Semi-annual payments of P60,000 for 3 years that will start 5 years from now




5.Payments of P3,000 every 2 years for 10 years starting at the end of 6 years

A.Find the period of deferral in each of the following deferred annuity problem (one



way to finnd the period of deferral is to count the number of artificial payments)



1.Monthly payments of P2,000 for 5 years that will start 7 months from now



2. Annual payments of P8,000 for 12 years that will start 5 years from now



3. Quarterly payments of P 5,000 for 8 years that will start two years from now.



4.Semi-annual payments of P60,000 for 3 years that will start 5 years from now



5.Payments of P3,000 every 2 years for 10 years starting at the end of 6 years

The average travel time from your residence to your school is 35 minutes with a standard deviation of 10 minutes. If you want to be 99% certain that you will not be late for first 9:00 am class, what is the latest time you should leave home? Assume that the time travel is normally distributed


IV. A researcher selected a sample of 35 students from ABC University and measured their heights in centimeters




which are shown below. (24pts)




161 152 153 150 154 150




156 142 148 160 143 149




159 157 146 159 143 148




154 150 147 151 158 150




148 147 150 161 143 156




147 152 156 150 144 147




a. Construct the frequency distribution table.




b. Compute for the mean of the given grouped data.




c. Compute for the median of the given grouped data.




d. Compute for the mode of the given grouped data.




e. Compute for the mean deviation of the given grouped data.




f. Compute for the variance of the given grouped data.




g. Compute for the standard deviation of the given grouped data.





Find the class boundaries, midpoints and widths for each class.



1. 58-62


2.125-131


3.16.35-18.46


4.16.3-18.5

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