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
lutik1710 [3]
2 years ago
6

Prove that if n is an even integer, then n + 1 is odd. Give a proof by contraposition of this theorem.

Mathematics
1 answer:
S_A_V [24]2 years ago
7 0

Answer:

Proved below

Step-by-step explanation:

If we assume that n + 1 even when n is even, it means that;

n + 1 = 2x

Where x is an integer

Then;

n = 2x - 1

This means that n is odd because 2x - 1 is odd.

But we know that n is even, thus, our assumption is wrong.

Therefore, n + 1 is odd when n is even.

You might be interested in
A student raises her grade average from a 75 to a 90. what was the percent of increase in the student's grade average? round you
Leona [35]
Here are some formulas...
percent increase = (new number - original number) / original number...* 100
percent decrease = (original number - new number) / original number...* 100
============
a student raises her grade from a 75 to a 90....since it is going from a smaller number to a larger number, u have an increase
percent increase = (90 - 75) / 70....* 100
                           =   15/70   * 100
                           = 0.2142 * 100
                           = 21.42 rounds to 21.4%  increase
-------------------------
36.50 on sale for 32.12...since it goes from a larger number to a smaller number, u have a decrease
percent decrease = (original number - new number) / original * 100
                             = (36.50 - 32.12) / 32.12...* 100
                             = 4.38 / 32.12...* 100
                             = 0.1363...* 100
                             = 13.63 rounds to 13.6% decrease
------------------------------
23.5 to 21.2......this is a decrease
percent decrease = (original number - new number) / original...* 100
                            = (23.5 - 21.2) / 23.5....* 100
                            = 2.3 / 23.5....* 100
                            = 0.0979 * 100
                            = 9.79 rounds to 9.8% decrease






3 0
3 years ago
Read 2 more answers
Show 16300000 in standard form
mel-nik [20]
Sixteen million three hundred thousand
7 0
3 years ago
A certain brand of jelly beans are made so that each package contains about the same number of beans. The filling procedure is n
pantera1 [17]

Answer:

p=0.063

Step-by-step explanation:

Let X be number of the certain brand of jelly beans that are made so that each package contains about the same number of beans.

X is N(375, 8)

YOu are collecting a sample size of

n = 8

Findings from the sample

\bar x =370\\

H_0: \bar x =375\\H_a: \bar x

(Left tailed test at 5% level)

Since sample size is small though sigma is known we use Z test, since norm

Mean difference = -5

Std error = \frac{8}{\sqrt{8} } =2.828

Test statistic t = mean diference / std error = \frac{-5}{2.828} \\=-1.768

df = n-1 =5

p value = 0.063

7 0
3 years ago
Math help will mark brainliest
Natasha2012 [34]

Answer:

A

Step-by-step explanation:

all the other answers just dont make enough sense to be true, so that is why A is correct

also, just go through each answer and see if it makes any sense

4 0
3 years ago
PLEASE HELP ME WITH GEOMETRY <3
prisoha [69]

Answer:

answer is 25

Step-by-step explanation:

EKJ = 90, same as JHF, and EJK is 65 (because EJF =115 and 180-115=65

65+90=155

180-155=25

8 0
2 years ago
Other questions:
  • What is the quotient of 2 1/4 and 5/8
    5·2 answers
  • The table contains data for five students: homework scores, x, and corresponding test scores, y.
    10·2 answers
  • Can someone check these questions?
    15·1 answer
  • Answers to 2b using sin cos and tan
    6·1 answer
  • An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at th
    11·2 answers
  • The perimeter of a rectangle is 64 cm. The length is 12cm longer than the width what are the length and the width of the rectang
    6·1 answer
  • Sara sold half her comic books and then brought 9 more.She now has 15.
    14·1 answer
  • Find the value of x and y
    12·1 answer
  • Evaluate each expression using the values <br> a=7 and b=4<br><br> 1) 14+a<br> 2) ab<br> 3) 5b-a
    9·1 answer
  • !!!ANSWER QUICKLY PLEASE!!! <br> Please look at the screenshot below
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!