Question

PLEASE WRITE CLEARLY AND SHOW ALL WORK. THANKS

Problem 5 [20 pts]: n people attend a party and each shakes hands with every other person. Prove, by the method of mathematical induction that the total number of handshakes is n(n−1) 2 .

Answer #1

1/ Imagine a party with n people. When a person comes to
the party they go and shake hands with a few other people (but not
necessarily everyone - in fact there can be unfriendly people who
do not shake hands with anyone!). None of the attendees
narcissistic enough to shake hands with themselves. Prove that
there are two people who shake the same number of
hands.
For example, suppose 3 people attend the party and everyone
shakes hand with...

Please show all work to the problem. Thanks! The problem is to
find the solution to the initial value problem which is
y"+2y'+2y=0, y'(0)=1, y(0)=0

Write clearly & legibly. Show all work. Use units.
Assume g = 10/m/s2. Ignore air resistance. Due next Monday as a
handwritten hardcopy at period start.
A 100 g ball is held in a person’s hand. The person
throws the ball straight up in the air.
During the throw, the person accelerates their hand
upward from rest to an upward velocity of 7.5 m/s after an upward
displacement of 75 cm. Assume constant acceleration of the hand
during the upward...

Write clearly & legibly. Show all work. Use units. Assume g
= 10/m/s2. Ignore air resistance. Due
next Monday as a handwritten hardcopy at period start.
A 100 g ball is held in a person’s hand. The person throws the
ball straight up in the air.
During the throw, the person accelerates their hand upward from
rest to an upward velocity of 7.5
m/s after an upward displacement of 75 cm. Assume constant
acceleration of the hand during the
upward...

PLEASE SHOW ALL WORK AND EXPLAIN!!!
THANKS!!!
5. Two large speakers face each other. They are 100m
apart and each are sounding the same note. Standing midway between
the speakers you do nothear a
sound. You start to walk towards one of the speakers at
speed of 2m/sec. The sounds start to increase and is the
loudest when you've moved 75cm from your starting point.
a. What is the note the
speakers are playing?
b. As you continue to walk,
what is the...

Please show all work detailed. Thank you very
much!!!!
A sample of n-20 cold-processed steel bar specimens was taken to
measure their strength. The average resistance was 29.8 ksi, while
the sample standard deviation was 4.0 ksi. A second sample
consisting of 25 galvanized steel bars was also evaluated. The
average resistance for this second sample was 34.7 ksi. and the
sample standard deviation was 5.0 ksi.
Assuming that the data comes from normal distributions and that
the variances cannot...

Please show all work:
Assignment: You will be answering problems #1 - #4. For each
problem, you will need to complete parts A through F. Please make
sure you answer each part completely and you offer justification
where necessary. Do all work "by hand" (not using StatCrunch) as
good practice for your next exam!
A) Write the claim mathematically and state the null and
alternative hypotheses.
B) Determine whether the hypothesis test is left-tailed,
right-tailed, or two tailed and whether...

Please show your work and provide explanation!
1a) How many different ways can 40 people be divided into two
groups, with at least one person in each group? For example, a
partition can be {1} and {2-49}. Another example of a partition
could be {1-20} and {21-40}. There is no limit to how many people
can be in each group as long as they each have at least one
person.
1b) A deck of cards has 52 cards, 4 suits...

Two options for lodging. Write an equation FOR EACH
OPTION that depicts the total cost of your stay,
y, based on the number of days,
x. Be sure to label each equation with
the hotel it corresponds to.
Incredible Inn: $274/night with no additional
parking or resort fees.
Luxury Lodge: $258/night but you must pay an
additional one-time fee of $32 for parking and other fees.
Step two:
DO NOT SOLVE, but instead explain which method, substitution or
elimination, you would...

Label and circle/underline answer. Please show work
correctly.
Gallup recently conducted a surveyabout the proportion of
Americans who use e-cigarettes (vape). The following example is
based on hypothetical data that is meant to be similar to the data
collected by Gallup.
The following table considers survey data about annual household
income and whether or not a person vapes.
<$35,000
$35,000-$99,999
$100,000+
Total
Vape
47
57
19
123
Do Not Vape
381
659
362
1402
Total
428
716
381
1525
Problem...

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