Use the venin\'s theorem to find V0 in the network in the figure below. Break the network at the 3 k Ohm load resistor where V0 is measured. Vth= v Rth= k Ohm V0= v Solution remove the 3kohm resistor and calculate the Thevenin voltage across the output teriminals Vth=-3+2k(8/7k) Vth=0.7143V Rth=5k||2k=1.43kohm now connect 3kohm resistor across the thevenin circuit output teriminals and apply voltage division rule. vo=0.7143(3k/3k+1.43k)=0.484 V.

1. Use the Venn diagram and the given conditions to determine the number of elements in region
VIII. n(U) = 44 n(A) = 22 n(B) = 27 n(C) = 22 n(A B) = 15 n(A C) = 11 n(B C) = 10 A
poll asked respondents if they agreed with the statement that colleges should reserve a certain
number of scholarships exclusively for minorities and women. Hypothetical results of the poll
are tabulated in the Venn diagram. How many women agreed with the statement? A poll asked
respondents if they agreed with the statement that colleges should reserve a certain number of
scholarships exclusively for minorities and women. Hypothetical results of the poll are tabulated
in the Venn diagram. How many respondents disagreed with the statement?
Solution
44=22+27+22-15-11-10+6+n(VIII)
n(VIII)=3
number of african american women agreed=A intersection B intersection c'=1
number of american women agreed=1
total number of women agreed=2
number of men disagreeing=4+8
number of african american disagreeing=8+5
number of respondents disagreeing the statement=4+8+8+5-8=17