(a) Prove the following claim: in every simple graph G on at
least two vertices, we can always find two distinct vertices v,w
such that deg(v) = deg(w).
(b) Prove the following claim: if G is a simple connected graph
in which the degree of every vertex is even, then we can delete any
edge from G and it will still be connected.
Can someone please advise how to solve this problem
step-by-step on a calculator? Thanks!
Option to wait. Your company is deciding
whether to invest in a new machine. The new machine will increase
cash flow by $435,000 per year. You believe the new technology used
in the machine has a 10 year life. Obsolete 10 years from today.
Machine is currently priced at 2.8 Million. Cost of machine will
decline $215,000 per year until it reaches $2.155 million, where it...
Prove or disprove the following statements.
(a) There is a simple graph with 6 vertices with degree sequence
(3, 3, 5, 5, 5, 5)?
(b) There is a simple graph with 6 vertices with degree sequence
(2, 3, 3, 4, 5, 5)?
Please write step by step in details thanks will upvote
An entrepreneur opened a small hardware store in a street mall.
During the first few weeks, the business was slow with the store
averaging only one customer arrived every 20 minutes. Assume that
the random arrival of customers is Poisson distributed.
(a) What is the probability that exactly 5 customers arrive during
one-hour period?
(b) If the average revenue from each customer is USD 12, what is
the probability that...
<Vector Calculus>
Please show all step by step work and
formulas. Thanks
A current in a river is pushing a ship
in a direction of 25 degrees north of east with a speed of 12 knots
(nautical miles per hour). There is a 7 knots (kn) wind pushing the
ship in a direction 80 degrees south of east. Find the velocity
vector of the ship vector of the ship relative to the water if the
ship is moving due east...
Please attach the solution step by step, thanks!
1. An insurance company collected $31.0 million in premiums and
disbursed $28 million in losses. Loss adjustment expenses amounted
to $5.0 million. The firm is profitable
A. if dividends paid to policyholders is $4 million and income
generated on investments is $4 million.
B. if
dividends paid to policyholders is $10 million and income generated
on investments is $14 million.
C. if
dividends paid to policyholders is $6 million and income generated...