1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elina [12.6K]
1 year ago
15

I found this proof by induction that all people in canada are the same height, i was wondering what is the incorrect step?

Mathematics
1 answer:
frosja888 [35]1 year ago
8 0

The incorrect step in the induction that all people in Canada are the same height is; Step 9

<h3>How to prove Mathematical Induction?</h3>

The principle of mathematical induction as follows:

For example, we have a set of natural numbers. Now, suppose that 1 is in the set. Now, we assume that anytime n is in the set, n + 1 is also in the set. Therefore we can say that every natural number is in the set.

The wrong step in the given mathematical Induction is Step 9. This is because;

We might not be to see anyone else in the arbitrary group G other than groups P or Q!

Recall that G is a group of k + 1 people. Thus, provided that k > 1, k + 1 > 2 and that a third person R in G does not exist, then the rest of the proof will work.

The steps above proves that;

S(k) = S(k + 1), for every k > 1.

Thus, we can also say that if S(2) is true, then it equally means S(3) is true and so on till infinity.

From our induction process written so far, we have see that S(1) was true. However, our induction step in the question does not show us that that S(1) = S(2) = true.

So: Thus, from the induction I have done It shows that S(1) not imply S(2) and as a result the proof is fallacious.

Read more about Mathematical Induction at; brainly.com/question/24672369

#SPJ1

You might be interested in
Whats the scale factor
BARSIC [14]

Answer:

2 1/12

Hope that helps!

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Determine the given pair of lines of parallel, perpendicular, or intersecting.
podryga [215]
k:\ y=m_1\cdot x+b_1\ \ \ \ and\ \ \ \ l:\ y=m_2\cdot x+b_2 \\\\k\ ||\ l\ \ \ \Leftrightarrow\ \ \ m_1=m_2\ \ \ \ \ \ and \ \ \ \ \ \ k\ \bot\ l\ \ \ \Leftrightarrow\ \ \ \ m_1\cdot m_2=-1\\----------------------------\\1.\\ k:\ y= \frac{7}{3} x-8\ \ \ and\ \ \ l:\ y=\frac{7}{3} x+3\\\\m_1=m_2=\frac{7}{3}\ \ \ \Rightarrow\ \ \ k\ ||\ l

2.\\k:\ y=2x-1\ \ and\ \  l:\ -x+2y=6\ \Rightarrow\ \ 2y=x+6\ \ \Rightarrow\ \ y= \frac{1}{2}x+3 \\\\m_1 \neq m_2\ \ \ and\ \ \ m_1\cdot m_2 \neq -1\ \ \ \Rightarrow\ \ \ the\ lines\ intersect\\\\3.\\k:\ y= \frac{5}{2} x-17\ \ \ and\ \ \ l:\ y=- \frac{5}{2} x-1\ \ \ \Rightarrow\ \ \ the\ lines\ intersect\\\\4.\\k:\ y= \frac{5}{2} x-4\ \ and\ \ l:\ -5x+2y=6\ \Rightarrow \ 2y=5x+6\ \Rightarrow \ y= \frac{5}{2}x +3\\\\m_1=m_2= \frac{5}{2} \ \ \ \Rightarrow\ \ \ k\ ||\ l

5.\\k:\ y=- \frac{2}{3} x+12\ \ \ and\ \ l:\ y= \frac{3}{2} x+3\\\\m_1\cdot m_2=- \frac{2}{3}\cdot \frac{3}{2} =-1\ \ \ \Rightarrow\ \ \ k\ ||\ l\\\\6.\\k:\ y= \frac{1}{3}x-13\ \ \ and\ \ \ l:\ y=3x+2\ \ \ \Rightarrow\ \ \ the\ lines\ intersect \\\\7.\\k:\ y=-4x+5\ \ ,\ \ l: -x+4y=-16\ \Rightarrow\ 4y=x-16\ \Rightarrow\ y= \frac{1}{4}x-4 \\\\m_1\cdot m_2=-4\cdot \frac{1}{4} =-1\ \ \ \Rightarrow\ \ \ k\ \bot\ l

8.\\k:\ y= \frac{2}{3} x+3 \ ,\ \ l:\ -2x+3y=21 \ \Rightarrow\ \ 3y=2x+21\ \Rightarrow\ y= \frac{2}{3} x+7\\\\m_1=m_2= \frac{2}{3} \ \ \ \Rightarrow\ \ \ k\ ||\ l
8 0
3 years ago
A cylinder has a volume of 3201 cubic inches and a height of 5 inches.
enot [183]

Answer:

r≈14.28in

h Height

5

in

V Volume

3201

in³

Using the formula

V=πr2h

Solving forr

r=V

πh=3201

π·5≈14.27522in

5 0
3 years ago
What is an<br> equation of the line that passes through the points (-4, 4) and (8,1)?
inessss [21]

Answer:

-1/4x + 3

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
How to do this?
Mandarinka [93]
This equation uses two properties of logarithms:

\ln(g^x) = x \ln(g)

\ln(a) + \ln(b) = \ln(ab)

So you could take the ln from left and right hand side in the equation, and get:

(2-x)ln 3 = x ln 5

then

2 ln 3 - x ln 3 - x ln 5 = 0 =>

x(ln 3 + ln 5) = 2 ln 3

so x = 2 ln 3 / (ln3 + ln5)

Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15

so x= ln9 / ln15


7 0
3 years ago
Other questions:
  • How do I work this out?
    13·1 answer
  • Write an equation of a line that passes through the point (8, 4) and is parallel to the line y = 4x + 2.
    15·2 answers
  • What is 260% as a fraction in simplest form
    9·2 answers
  • Number 8 please, I don't understand it
    7·1 answer
  • Four friends went bowling one afternoon. Use the table that shows the bowling data
    11·1 answer
  • What causes the phases of the moon? A) The amount of sunlight reflected onto the moon from the sun B) The Moon Earth and Sun are
    8·1 answer
  • Find the value of x.​
    10·1 answer
  • Consider a project that has an expected completion time of 60 weeks and a standard deviation of five weeks. What is the probabil
    10·1 answer
  • Write a rule relating to the minutes, x, to the number of pages, y. Then find the number of pages when the minutes equal 72.
    8·1 answer
  • Four college roommates rented an apartment together. When they moved out, they were charged $1500 for damages to the carpet and
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!