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
Triss [41]
3 years ago
7

Represent each of these relations on {1, 2, 3, 4} with a matrix (with the elements of this set listed in increasing order). a) {

(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)} b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)} c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)} d) {(2, 4), (3, 1), (3, 2), (3, 4)}
Mathematics
1 answer:
Irina-Kira [14]3 years ago
7 0

Answer:

for a  a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]

Step-by-step explanation:

in matrix, arrays are placed in rows , which represents the horizontal sides from left to right, while arrays in the column are placed vertically from top to bottom. Here, we placed the arrays in a 4x4 matrix

for a  a) {(1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4)}

\left[\begin{array}{cccc}0&1&1&1\\0&0&1&1\\0&0&0&1\\0&0&0&0\end{array}\right]

for b

b) {(1, 1), (1, 4), (2, 2), (3, 3), (4, 1)}

\left[\begin{array}{cccc}1&0&0&1\\0&1&0&0\\0&0&1&0\\1&0&0&0\end{array}\right]

for c) {(1, 2), (1, 3), (1, 4), (2, 1), (2, 3), (2, 4), (3, 1), (3, 2), (3, 4), (4, 1), (4, 2), (4, 3)}

\left[\begin{array}{cccc}0&1&1&1\\1&0&1&1\\1&1&0&1\\1&1&1&0\end{array}\right]

for d d) {(2, 4), (3, 1), (3, 2), (3, 4)}

\left[\begin{array}{cccc}0&0&0&0\\0&0&0&1\\1&1&0&1\\0&0&0&0\end{array}\right]

You might be interested in
Hi I need help with this question
katrin2010 [14]
This is the answer to the problem. You basically substitute the -6 in for the f(x)

5 0
3 years ago
Read 2 more answers
In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappr
MA_775_DIABLO [31]

Answer:

Test statistic Z = p diff/std error = 2.3333

p value one tailed = 0.009815

Step-by-step explanation:

Given that in a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately.

Sample size n = 2755

Sample favourable x = 967

Sample proportion p = \frac{967}{2755} \\=0.3510

H_0: p = 0.3333\\H_a: p >0.3333

(right tailed test at 5% significance level)

p difference = 0.0210

Standard error assuming H0 is true is \sqrt{\frac{0.3333*0.6667}{2755} } \\=0.0090

Test statistic Z = p diff/std error = 2.3333

p value one tailed = 0.009815

Since p <0.05 we reject null hypothesis.

6 0
3 years ago
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine p
sasho [114]

Answer:

H0 : σ = 0.5

H0 : σ < 0.5

Step-by-step explanation:

From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.

Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.

H1 : σ < 0.5 ;

Therefore, our null will be ;

H0 : σ = 0.5

4 0
2 years ago
If sec ⁡ θ = − 2 secθ=−2 and the reference angle of θ θ is 6 0 ∘ 60 ∘ , find both angles in degrees from 0 ∘ ≤ θ &lt; 36 0 ∘ 0 ∘
jek_recluse [69]
Yoasuibcerknvsekkvdh
4 0
3 years ago
Robbie was given $80 to spend at the Fair. His admission to the park costs $15.50 and each ride cost $5. He anticipates the cost
Ad libitum [116K]

Answer:

7 or 8

Step-by-step explanation:

Robbie was given $80.

His admission costs $15.50

80 - 15.50 = $64.50

He anticipates the cost of food at the fair will be $25.

64.50 - 25 = $39.50

What is the maximum number of rides he can take at the Fair?

(Total $ after admission and cost of food/ ride cost)

$39.50 / $5 = 7.9

4 0
3 years ago
Read 2 more answers
Other questions:
  • Cost to store: $145<br> Markup: 150%<br> Selling Price:?
    11·2 answers
  • Enter the number that belongs in the green box.
    11·2 answers
  • Find 4 consecutive odd integers where the product of the two smaller numbers is 64 less than the product of the two larger numbe
    10·2 answers
  • What is foreign exchange
    9·2 answers
  • Geometry questions
    6·1 answer
  • At the San Diego zoo there are five monkeys for every eighth elephants. There are 48 elephants how many monkeys are there use a
    14·1 answer
  • Root of 9216 in prime factorisation
    12·1 answer
  • BRUH HELP
    7·1 answer
  • Find the volume of the following<br> square pyramid.<br> 26 cm<br> 20 cm<br> 20 cm
    10·2 answers
  • The number of children's movie tickets sold over a period of a week is
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!