Search & Filtering
Let R1 and R2 be two relation on real number such that R1 = {(x, y)|x < y} and R2 =
{(x, y)|x > y}, then find R1 ∪ R2,R1 ∩ R2,R1 − R2, R2 − R1, and R1+LR2.
There are 150 students in a class. The distribution if their marks in a mathematics test are as follows
Class frequency
0-9 3
10-19 10
20-29 17
30-39 x
40-49 35
50-59 y
60-69 18
70-79 10
80-89 5
90-99 2
Required
i) The value of x given that the median mark is 44.357 (2marks)
ii) The value of y given that the modal is 43.0 (2marks)
iii) Draw an ogive of the data in (a) above (3 marks)
A real estate agent sells two sites for P18,000 each. On one he gains 25% and on the other he loses 25%. What is his loss or gain percent?
Suppose that the average outstanding credit card balance for young professionals
is Php11,200 with standard deviation of Php 2,600. In simple random sample of
150 young professionals, what is the probability that the mean outstanding credit
card balance does not exceeds Php12,300?
A capacitor has a charge of 9 microcoulomb when connected with a 12 V battery. Determine the capacitance.
What is the charge stored when the voltage across a 25 milliard capacitor is 9 V?
What is the capacitance of a capacitor that stores 50 picocoulomb of charge when connected to a 4 V battery?
How much charge flows from a 12.0 V battery when it is connected to a 9.00 microfarad capacitor?
A sphere has a potential difference between it and the earth of 5 V when charged with 14 nanocoulomb. What is the capacitance?
For a certain sinusoidal wave of intensity I, the amplitude of the magnetic field is B. What
would be the amplitude (in terms of B) in a similar wave of twice the intensity?
