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At a college of 600 students there are (n+5) enrolled in physics, (n+20) in Mathematics who play sports and (n-15) in chemistry and play sports. Create a Venn diagram to illustrate this information. Where n=8



At a college of 600 students there are (n+5) enrolled in physics, (n+20) in Mathematics who play sports and (n-15) in chemistry and play sports. Create a Venn diagram to illustrate this information. Where n is your arid number


There are 18 325 Computer and 415 English majors at colege . ( a ) How many ways to pick 5 math 125 computer and 300 English majors ? many ways to pick one Yepresenta tative who is either Math or computer . Eng / i * s * h ? ( 6 ) How


A survey was given to 140 students. On average, 2 out of 7 students floss every day. How many students do NOT floss every day?


Write down the mathematical notations for The set of all natural number whose square is more than 21.


An island has two types of inhabitants. Those of type A
only ask questions whose correct answer is Yes. Those of Type B
only ask questions whose correct answer is No. On the Island, you
encounter Tom and Jerry who are inhabitants of the island. Tom asks
“Are Tom and Jerry both of Type B”. Determine the types of Tom and
Jerry. Justify your answer.

If the statement q ∧ r is true, determine all combinations of truth values for p and s such that the statement (q → [¬p ∨ s]) ∧ [¬s → r] is true. (Highlight your final answer not just the truth table)


1-Show that ux=c1eax +c2e-ax solution of the difference equation

ux+1-2uxcosha+ux-1



Construct the conjunctive normal form of the proposition (¬p ∧ q) ∨ (¬r ∨ ¬q).


Construct the disjunctive normal form of the proposition (p → q) ∧ (r ↔ p). 


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