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
Bogdan [553]
3 years ago
10

Suppose two dice (one red, one green) are rolled. Consider the following events. A: the red die shows 5; B: the numbers add to 2

; C: at least one of the numbers is 2; and D: the numbers do not add to 8. Express the given event in symbolic form.The numbers do not add to 2.
How many elements does it contain?
Mathematics
1 answer:
labwork [276]3 years ago
4 0

Answer:

Part 1

A = {5}

B = {(1,1)}

C = {(2,1), (2,3), (2,4), (2,5), (2,6), (1,2), (3,2), (4,2), (5,2), (6,2)}

D =  {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,6), (4,1), (4,2), (4,3), (4,5), (4,6), (5,1), (5,2), (5,4), (5,5), (5,6), (6,1), (6,3), (6,4), (6,5), (6,6)}

Part 2

35

Step-by-step explanation:

Part 1

We use brakets for indicate that the elements belong to a event.

In each event, the first member of each parentheses belong to dice red and the second belong to green dice.

We consider in each event all elements that accomplish the condition.

Part 2

When we combinate pair with the two dice obtain 36 pairs (6*6, six possible results in the red dice and six possible results in the green dice), now we look for all of them that do not add 2.

(1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

You might be interested in
PLEASE HELP HELP HELP HELP HELP HELP
RideAnS [48]

|\Omega|=12\cdot11\cdot10=1320\\|A|=9\cdot8\cdot7=504\\\\P(A)=\dfrac{504}{1320}=\dfrac{21}{55}\approx38.2\%

7 0
3 years ago
PLEASE HELP WILL MARK BRAINLIEST
Sholpan [36]

Answer: Choice D

b greater-than 3 and StartFraction 2 over 15 EndFraction

In other words,

b > 3 & 2/15

or

b > 3\frac{2}{15}\\\\

========================================================

Explanation:

Let's convert the mixed number 2 & 3/5 into an improper fraction.

We'll use the rule

a & b/c = (a*c + b)/c

In this case, a = 2, b = 3, c = 5

So,

a & b/c = (a*c + b)/c

2 & 3/5 = (2*5 + 3)/5

2 & 3/5 = (10 + 3)/5

2 & 3/5 = 13/5

The inequality 2 \frac{3}{5} < b - \frac{8}{15}\\\\ is the same as \frac{13}{5} < b - \frac{8}{15}\\\\

---------------------

Let's multiply both sides by 15 to clear out the fractions

\frac{13}{5} < b - \frac{8}{15}\\\\15*\frac{13}{5} < 15*\left(b - \frac{8}{15}\right)\\\\39 < 15b-8\\\\

---------------------

Now isolate the variable b

39 < 15b-8\\\\15b-8 > 39\\\\15b > 39+8\\\\15b > 47\\\\b > \frac{47}{15}\\\\b > \frac{45+2}{15}\\\\b > \frac{45}{15}+\frac{2}{15}\\\\b > 3+\frac{2}{15}\\\\b > 3\frac{2}{15}\\\\

Side note: Another way to go from 47/15 to 3 & 2/15 is to notice how

47/15 = 3 remainder 2

The 3 is the whole part while 2 helps form the fractional part. The denominator stays at 15 the whole time.

7 0
3 years ago
A sphere has a radius of 12 inches. A second sphere has a radius of 9 inches. What is the difference of the volumes of the spher
just olya [345]

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=\frac{4}{3} πr³-\frac{4}{3} πR³

=\frac{4}{3} π(12³-9³)

= 1332π cubic inches

The volume of the larger sphere is <u>___1332</u>__π cubic inches greater than the volume of the smaller sphere.

3 0
3 years ago
I dont understand the circled question ....please help!
irina1246 [14]

Parallel lines NEVER intersect/meet, this is because they have the same slope and they go in the same direction.

These lines are parallel because they have the same slopes of 3/4 (because they go 3 units up and 4 units to the right. slope = rise/run)

7 0
3 years ago
What is the equvilent fraction of 7•4 OVER 1002•9
galina1969 [7]
14 over 4509 would be an equvilent fraction
7 0
3 years ago
Read 2 more answers
Other questions:
  • Which point represent 110 on the number line below
    14·1 answer
  • At her job, Jessie earns $9.50 per hour. She also earns a $60 bonus every month.
    13·2 answers
  • 0.63 Divided by 9 pls give me the correct answer!
    8·1 answer
  • What is a description of an undefined term?
    12·1 answer
  • Please help as soon as possible!!!!!!
    11·2 answers
  • (3^5)^2/3^-2<br><br> Simplify please
    7·2 answers
  • Help please it is a test as fast as you can please​
    14·2 answers
  • Poop I don't know what to do-
    6·1 answer
  • Math problem need help
    5·1 answer
  • A chemist has three different acid solutions. The first acid solution contains
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!