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the average height of randomly chosen 45 female students was 155cm. with standard deviation of 3.5 cm find the 95% confidence interval


the aptitude test was administered to random sample of 120 SHS students. the sample mean was 104.2 with standard deviation of 12. find 99% confidence interval


explain why food doesn't spoil as fast when its refrigerated as it would at room temperature

Show by dimensional analysis that the product of resistance and capacitance has the dimension of time.


A particle of charge 3 x 10-9 C is located at point (0,0) in a certain coordinate system. Assuming all lengths are in meters, calculate the potential at the following points: A(3,4) and B(0,2). How much work is needed to take a particle of charge 2 x 10-5 C from point A to point B?








Use set builder notation to give a description of this set A = {0, 3, 6, 9, 12}


A supermarket owner believes that the mean income of its customers is P50,000 per month.One-hundred customers are randomly selected and asked of their monthly income.The sample mean is P48,500 per month and the standard deviation is P3,200.Is there sufficient evidence to indicate that the mean income of the customers of the supermarket is P50,000 per month? Use a=0.05

F&W Sdn Bhd is a packaging company. Write a program in C++ to help the company  determines how many boxes that are needed for an item. For example, a box of shampoo can  have 30 bottles in it. So, 95 bottles of shampoo need to be packed into 3 boxes and 5 are left.  The number of each item and the number of an item that can be packed in a box are received  as inputs. Display the number of boxes needed and the number of leftover items. 




Subtract the given numbers using the indicated complements. Also show your answers in non-complement form, using (+) and (-) to indicate the sign of the number.

a. 84810 – 69210 in 10’s complement

b. 61816 – 8E316 in 16’s complement

c. 100011002 – 111000112 in 2’s complement

d. 110001012 – 100011102 in 1’s complement

e. 40208 – 20218 in 8’s complement 


Work out the following and give answers in the indicated bases/codes. (Show your ALL working):

a. 16608 – 53016 in base 8

b. AB.7516 – 830.510 in base 2

c. 402810 + 475.0816 in base 16

d. 102410 – 110101112 in base 2 


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