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
Papessa [141]
1 year ago
11

A number cube with faces labeled 1 to 6 is rolled once.

Mathematics
1 answer:
Zepler [3.9K]1 year ago
4 0

Answer:

a)  A ∪ B = {2, 4, 5, 6}

b)  A ∩ B = {6}

c)  \sf B^c = {1, 3, 5}

Step-by-step explanation:

Set notation is used in math to list numbers, objects or outcomes.

It uses <u>curly brackets</u> called "braces". Objects placed within the braces are the elements of the set.

The listing method of <u>set notation</u> simply lists the numbers in the set.

The three dots "..." means it is infinite (goes on forever).

Given:

  • A number cube with faces labeled 1 to 6.

Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.

<u>Event A</u>

The number rolled is <u>greater than 4</u>.

Therefore, the set of outcomes for event A is {5, 6}.

<u>Event B</u>

The number rolled is <u>even</u>.

Therefore, the set of outcomes for event B is {2, 4, 6}.

<u>Part (a)</u>
Event "A or B" means the outcomes in A or B or both.

⇒ A ∪ B = {2, 4, 5, 6}

<u>Part (b)</u>

Event "A and B" means the outcomes in both A and B.

⇒  A ∩ B = {6}

<u>Part (c)</u>

The complement of event B means everything that is not in B.

\sf \implies B^c =<em> </em>{1, 3, 5}

Learn more about set notation here:

brainly.com/question/27913822

You might be interested in
The sum of 6 and the product of 8 and x" into mathematical expression
Inga [223]

Answer:

6=8x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A rectangle has a height of t^2+7t+6t
jek_recluse [69]

Answer:

2t^3+15t^2+19t+6

Step-by-step explanation:

Height of the Rectangle=t^2+7t+6

Width of the Rectangle=2t+1

Area of the Rectangle = Height X Width

=(2t+1)(t^2+7t+6)\\=2t(t^2+7t+6)+1(t^2+7t+6)\\=2t^3+14t^2+12t+t^2+7t+6\\$Collect like terms\\=2t^3+14t^2+t^2+12t+7t+6\\Area=2t^3+15t^2+19t+6\\

The area of the rectangle is 2t^3+15t^2+19t+6

4 0
3 years ago
What are 2 irrational numbers between 13 and 15
zvonat [6]
1. 13.1585824828741586788.......
2. 14. 4532514582525563325585.....

"<span>An </span>Irrational Number<span> is a real number that </span>cannot<span> be written as a simple fraction.</span>"

Hope I helped:)
4 0
3 years ago
Liam is a tyre fitter.
maks197457 [2]

Answer:

3 tires

Step-by-step explanation:

56 minutes divided by 4 is 14. 42 minutes divided by 14 is 3 :)

7 0
2 years ago
Read 2 more answers
I have a series of 2 questions.
Margarita [4]
1)
I:y=3x-4
II:9x-3y=14


substitute y into II:
9x-3*(3x-4)=14
9x-9x+12=14
12=14

this is obviously not equal so there is no solution, the lines are parallel

2)
I:y=4x+6
II:5x-y=6

substitute y into II:
5x-(4x+6)=6
5x-4x-6=6
x=12
substiute x into II:
5*12-y=6
-y=6-60
-y=-54
y=54

the solution is (12,54)
3 0
3 years ago
Other questions:
  • A gardener is planning to fill her garden with mulch. She plots it on a grid to plan how much she will need. The garden is in th
    6·1 answer
  • If the radius of a circle is 15 cm, what is the diameter?
    5·2 answers
  • A number is multiplied by 4. That result is added to 12. The final number is 40.
    5·1 answer
  • Erin is renting chairs and a tent for a party. She can rent from A-1 Rental or Tonka Tents. A-1 Rental charges $1.33 per chair,
    9·1 answer
  • Find the LENGTH OF THE MISSING SIDE in the following right triangle in inches.
    13·1 answer
  • What is the diameter of a circle whose circumference is 907.46
    15·2 answers
  • Which statements are true about a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
    6·1 answer
  • Is 3a + 3B equivalent to 3 (a + 2B) <br>true or false​
    14·2 answers
  • The energy needs of an eagle range between 350-600 calories per day. If it gets 120 calories from consuming 1 snake, how many sn
    11·2 answers
  • Can someone help me and solve the following equation showing work please? <br> thank you!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!