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
trapecia [35]
3 years ago
6

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

; C: at least one of the numbers is 2; and D: the numbers do not add to 9. Express the given event in symbols. HINT [See Example 5.] At least one of the numbers is 2, or the numbers add up to 5. C ∪ B
Mathematics
1 answer:
maxonik [38]3 years ago
6 0

Answer:

C \cup B =[(x,y),:x=2  \:Or\:  y=2 \:Or\: x+y=5, 1 \leq x \leq  6,1 \leq y \leq  6 ]\\

Step-by-step explanation:

Let the outcome from the two dice be (x,y) where x is the outcome from the red die and y is the outcome from the green die.

Event A: the red die shows 2

A=[(x,y), x=2,1 \leq y \leq  6 ]

Event B: the numbers add to 5

B=[(x,y),:x+y=5, 1 \leq x \leq  6,1 \leq y \leq  6 ]

Event C: at least one of the numbers is 2;

C=[(x,y),:x=2 \quad Or  \quad y=2, 1 \leq x \leq  6,1 \leq y \leq  6 ]

Event D: the numbers do not add to 9;

D=[(x,y),:x+y\neq 9, 1 \leq x \leq  6,1 \leq y \leq  6 ]

Therefore:

C \cup B =[(x,y),:x=2  \:Or\:  y=2 \:Or\: x+y=5, 1 \leq x \leq  6,1 \leq y \leq  6 ]\\

You might be interested in
Fill in the blank _+8=+6<br> And chose the property of addition you send
Paha777 [63]

Answer:

-2

Step-by-step explanation:

Just use 6-8 and you will get - 2

Check again with - 2+8 you will get positive 6

4 0
3 years ago
If your dinner bill was $80 and you left a 15% tip. How much money did you leave as a tip? What is your total bill cost?
nadya68 [22]

Answer: 92 dollars because 15% divided into 80 is 12 and add 80 to 12 and its 92

6 0
2 years ago
The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3.5-L automatic 5-speed using premium fuel is a normally distribu
Elodia [21]

Answer:

a) Standard error = 0.5

b) 99% Confidence interval:  (19.2125,21.7875)

Step-by-step explanation:

We are given the following in the question:

Population mean =  20.50 mpg

Sample standard deviation = 3.00 mpg

Sample size , n = 36

Standard Error =

=\displaystyle\frac{\sigma}{\sqrt{n}} = \frac{3}{\sqrt{36}} = 0.5

99% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.01} = \pm 2.575

20.50 \pm 2.575(\displaystyle\frac{3}{\sqrt{36}})= 20.50 \pm 1.2875 = (19.2125,21.7875)

4 0
2 years ago
2/3 4/5 3/4 1/8 put in order from greatest to least
m_a_m_a [10]
2/3, 4/5, 1/8 is the correct order from greatest to least.
3 0
3 years ago
Read 2 more answers
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped contain
Nonamiya [84]
The volume is 8/27 ft³.

2/3(2/3)(2/3) = (2*2*2)/(3*3*3) = 8/27.
3 0
3 years ago
Read 2 more answers
Other questions:
  • Solve this please. |x|&lt;13
    6·1 answer
  • WILL GIVE BRAINLIEST
    15·1 answer
  • How many solutions does this system have?
    14·2 answers
  • What is the greatest common factor of 8m, 36m^3 and 12
    5·2 answers
  • Is 56 inches less than 5 feet? PLEASE THIS IS AN EMERGENCY! 40 POINTS IF YOU ANSWER! :D
    13·2 answers
  • Hey circular plot of land has a diameter of 14 yards what is the area of the land use 3.14 for pie
    5·2 answers
  • Divide.<br><br> 26−6<br><br> Enter your answer as a mixed number, in simplified form,
    7·1 answer
  • You move left 6 units. You end at (-4, 4). Where did you start?<br> (you need a coordinate plane)
    12·1 answer
  • Which method of multiplication is shown below?
    5·1 answer
  • I really need help i keep getting confused
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!