6. Let E, F, G be three events. Find expressions for the events that of E, F, G a. only E occurs; b. both E and G but not F occur; c. at least one of the events occurs; d. at least two of the events occur; e. all three occur; f. none of the events occurs; g. at most one of them occurs; h. at most two of them occur; i. exactly two of them occur; j. at most three of them occur.

Answers

Answer 1

Answer:

a.) only E occurs :

E((FUG)')

b.) both E and G but not F

EG(F')

C.) Atleast one of the events :

(E U G U F)

d.) Atleast two of the events

(EG U EF U GF)

E.) all three occurs

(EGF)

F.) none of the events occur :

(E U G U F)'

G.) At most one of the events occur

(EG U EF U GF)'

H.) at most two of them occur

(E' U G' U F')

I.) exactly two of them occur;

(EG U EF U GF) * (EGF)'

j. at most three of them occur.

EFG U (EFG)'

Step-by-step explanation:

Events = {E, F, G}

a.) only E occurs :

E((FUG)') ; E and not F or G

b.) both E and G but not F

EG(F') ; both E and G and not F

C.) Atleast one of the events :

(E U G U F) ; Either E or F or G

d.) Atleast two of the events

(EG U EF U GF) ; Either EG or EF or GF occurs

E.) all three occurs

(EGF) ; All three events, E, G and F occurs

F.) none of the events occur :

(E U G U F)' ; Neither E, G nor F occurs

G.) At most one of the events occur

(EG U EF U GF)' ; complement of atleast two) at most one

H.) at most two of them occur

(E' U G' U F') ; Either E , F or G does not occur

I.) exactly two of them occur;

(EG U EF U GF) * (EGF)' ; Exactly two events occurs and all three events Do not occur

j. at most three of them occur.

EFG U (EFG)' ; All three events occur union all three events do not occur


Related Questions

AHHH HELP

An aquarium holds 11.94 cubic feet of water, and 2.6 feet long and 1.4 feet wide. What is its depth? Round your answer to the nearest whole number.

Answers

Answer:

The depth of the aquarium is 3 feet.

Step-by-step explanation:

From the formula for the volume of a bar we find that [tex]V=whl[/tex], where [tex]w[/tex] is the width, [tex]h[/tex] is the height (depth), and [tex]l[/tex] is the length of the bar (which in this case is the aquarium). So [tex]h=\frac{V}{wl}[/tex] and by substituting [tex]V=11.94[/tex], [tex]w=1.4[/tex] and [tex]l=2.6[/tex] we can see that [tex]h=\frac{V}{wl} = \frac{11.94}{2.6 \cdot 1.4} = 3.2802... \approx 3[/tex] feet (rounding to the nearest whole number).

So the depth of the aquarium is 3 feet.

craig has a coin and a number cube.The number cube is labeled 1-6.He flips the coin once and rolls the number cube once.What is the probability that the coin lands heads up and the number cube lands on an odd number

Answers

Answer:

3/12

Step-by-step explanation:

Mark got 18 out of 25 questions correct on his science test. What percent of the questions did he get incorrect

Answers

Answer:

28%. mark got 28% WRONG

Step-by-step explanation:

another way to write 18/25 is 18 divided by 25. 18/25=0.72. 0.72 as a percentage is 72%. You are asking what percent he got wrong. 100%-72%=28%. Mark got 28% wrong/

Mark got 28% wrong hope this helps

Factor the expression completely.
18x2 - 32

Answers

the answer would be 2(3x+4)(3x-4)

please help me with this

a . 18

b . 16

c . 12

d . 9

Answers

Answer:

I think it is 18(A)

Step-by-step explanation:

I multiplied 8x3 then I did 6x3 and got 18

Find the height of the triangle if the area is 36 m 2

Answers

Answer:

Area=1/2bh

Given area of 36m^2

1/2(x)(x-1)=36

Multiply both sides by 2 to remove deminator

(x)(x-1)=72

X^2-x=72

X^2-x-72=0 then factor

(x-9)(x+8)=0

X=9,-8 however since area must be positive, take the absolute value of 8

1/2(9m*8m)=36m^2

Write an
algebraic expression for the situation.
34 divided by a number m

Answers

Answer:

34 div 68m??

Step-by-step explanation:

Answer:

answer = 34 / m

Step-by-step explanation:

Usually there would be another number or variable to write an algebraic expression, but if this is the only information given, then this would be the answer

I need help on this question please it would mean a lot.!

Answers

Answer:

A

E

F

Step-by-step explanation:

These fractions divided equal repeating decimals.

Hope it helps and is correct!

A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?

Answers

The answer would be 2 and 1/4

1
A line has a slope of -1/2and a y-intercept of -2.

Answers

Answer:

Step-by-step explanation:

y + 2= -1/2(x - 0)

y + 2 = -1/2x + 0

y = -1/2x - 2

-1/2x = -2

x = 4

A farmer planted corn in a square field. One side of the field measures 33 yards. What is the area of the cornfield?

Answers

Answer:

the answer is 1,089 since 33x33=1,089.

Step-by-step explanation:

A= x^2    x being the length of one of the sides, since all sides are the same.

1,089 is the area of the cornfield

What is 3x+6-x+4 if x is 10?​

Answers

30

Substituting x as 10:

3(10) + 6 - 10 + 4

30 + 6 - 10 + 4

30

Answer:

30 is the answer

Step-by-step explanation:

3x + 6-x + 4

3(10) + 6 -10 + 4

30 + -4 + 4

30 + 0

=30

Can you help me with my math?

Answers

Answer:

y = -3x - 1

Step-by-step explanation:

First find the slope then the Y-intercept

Which best describes the transformation that occurs from the graph of f(x) = x2 to g(x) = (x + 3)2 + 4?

left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4

Answers

Answer:

Left 3 down 4 is the correct answer so C

Answer:

B. right 3, down 4

Step-by-step explanation:

A cylinder has a base radius of 9m and a height of 14m. What is its volume in cubic m, to the nearest tenths place?



Please help

Answers

Answer:

3562.6 m³

Step-by-step explanation:

In this question, we have to find the volume of a cylinder.

The formula to find the volume of a cylinder is V = πr²h

Plug in your values and solve.

Solve:

V = π(9)²(14)

V = π(81)(14)

V = π(1,134)

V = 3562.566069

Round to the nearest tenths place.

V = 3562.6

Don't forget that the units for volume is already cubed, or to the power of 3.

Your final answer would be 3562.6 m³

What is 6 times the amount of water and liquid?

Answers

Answer:

6 time the amount of a liquid is 7

How do u calculate Pythagorean theorem and what is the formula

Answers

Answer:

The formula is

Step-by-step explanation:

a^2 + b^2 = c^2

hope this helps

Negative thirteen decreased by 3 times a number

Answers

Answer:

-13-x(3)

Step-by-step explanation:

Hope this helps :)

The expression in the mathematical form will be 3x + 13.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

Negative thirteen decreased by 3 times a number. Then the expression in the mathematical form is given as,

Let x be the number. Then the expression will be

⇒ 3x - (-13)

⇒ 3x + 13

The expression in the mathematical form will be 3x + 13.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

are any of you in the 9th grade and good with math? 2 (x2 - 3) + x (x - 7)

Answers

Answer:

[tex]3x^{2} - 7x - 6[/tex]

Step-by-step explanation:

[tex]2x^{2} - 6 + x^{2} - 7x[/tex]

[tex]3x^{2} - 7x - 6[/tex]

Sam has 6 boxes of pencils. Each pack has x pencils in it. After Julie gives Sam 4 more pencils, he has a total of 40 pencils.

40 - (x + 4) = 6

6(x + 4 ) = 40

6x + 4 = 40

6 + 4x = 40

Answers

Answer:

6x + 4 = 40

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

Answer:

6x + 4 = 40

explanation

Step-by-step explanation:

6 boxes

x = number of pencils per box

therefore Sam had 6x and received 4 more

need help with this problem ​

Answers

Answer:

 h(x) =  -x² + 11 x + 2

Step-by-step explanation:

Explanation:-

Given that the functions are  

                                            f(x) = 2 x² - 5x -3

                                            g(x) = x² + 6x -1

               h(x)  = g(x) - f(x)

                      = x² + 6x -1 - (2 x² - 5x -3)

                     = - x² + 6 x +5x -1+3

                    = -x² + 11 x + 2

            h(x) =  -x² + 11 x + 2

Final answer:-

h(x) =  -x² + 11 x + 2

                             

compare-and-contrast analysis of how culture shapes the heroes in Heart of a Samurai and Black Ships Before Troy. Use transition words in your draft to help clarify relationships of ideas. KWHL What do you know? What do you want to know? How will you learn? What have you learned?

Answers

Answer:

Culture has a significant impact on heroes. For starters, it influences how a person or character perceives a particular situation or idea, as well as their point of view on a variety of ideas and topics. Next, it has an impact on how the hero is portrayed in the story. Third, it influences how a character reacts to an idea or situation.

Culture has an impact on heroes. We see an example of this in 'Black Ships Before Troy,' where in Achilles' culture, to be a hero, you must be brave and fight. This is also evident in 'Heart of a Samurai,' where Manjiro's culture dictates that in order to be a hero, you must provide for your family.

et X represent the full height of a certain species of tree. Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft. A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

Answers

Answer:

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

Step-by-step explanation:

Step(i):-

Mean of the Population = 191.8 ft

Standard deviation of the Population = 4 ft

Let 'X' be the random variable in normal distribution

X = 182.2 feet

[tex]Z = \frac{x-mean}{S.D}[/tex]

[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]

Step(ii):-

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = P( z≤ -2.4)

                =  1-P(z>2.4)

                = 1-(0.5 + A(2.4))

              =  0.5 - A(2.4)

             = 0.5 - 0.4918

            = 0.0082

The probability that the height of a randomly selected tree is as tall as mine or shorter.

P(X≤182.2) = 0.0082

does anyone know the answer to this.

Answers

Answer:

D

PLZ MARK AS BRAINLIEST

Step-by-step explanation:

FIRST STEP:

4*3 =12

6.5*3 =19.5

SECOND STEP:

21*12*19.5 =4914

Answer:

D

Step-by-step explanation:

i solved it

Please help! (the question is on the screenshot) Help ASAP Ty!

Answers

Answer:

A

Step-by-step explanation:

because if you do rise over run you get 4/3. you also need to remember to go to the points where there's a straight line

[tex]Your[/tex] [tex]answer[/tex] [tex]would[/tex] [tex]be.[/tex]

[tex]A[/tex] [tex]I[/tex] [tex]know[/tex] [tex]this[/tex] [tex]might[/tex] [tex]be[/tex] [tex]late[/tex] [tex]but[/tex] [tex]A[/tex] [tex]is[/tex] [tex]correct.[/tex]

[tex]- Yaoii[/tex]

what is 5 divided by 3/10

Answers

Answer:

16.6 :)

Step-by-step explanation:

16.667

MARK ME BRAINLIST

PLZ FOLLOW ME

2x - 3y = -14
5x + 9y = -2

Answers

Step-by-step explanation:

2x-3y= -14

5x+9y= -2

multiply the first one by 5 and the second one by -2 to get equal and opposite value of x.

➡️when you multiply,it will be

10x-15y= -70

-10x-18y= 4

cancel out each x value,then you get

-15y-18y= -70+4

-33y= -66, divide each side by -33 to get the value of y

⚪️y= 2

➡️substitute the value of y in the equation of (2x-3y= -14) to find the value of x

2x-3(2)= -14

2x-6= -14

2x= -14+6

2x= -8 divide both side by 2

⚪️x= -4

so the answer is (-4,2)

x^2 – 2x – 54 = 0

I need it in completing the square form

Answers

Completing the Square:

x^2 - 2x = 54

x^2 - 2x + 1 = 54 + 1

(x-1)^2 = 55

x - 1 = ±[tex]\sqrt{55\\}[/tex]

x = 1 ± [tex]\sqrt{55}[/tex]

How do I solve this......?

Answers

Answer:

1.0.87

2.87/100

3.25%

4.0.25

5.35%

6.7/20

Step-by-step explanation:

Please help me i’m sorry

Answers

Answer:

Is that 11/3 because of rise over run??? I'm not sure

Other Questions
Solve. t6^28t=15 Enter your answers in the boxes. t = or One of the main jobs of _________ is to support the leavesThe flowersthe seedsthe rootsthe stem the length of the unknown leg is? Consider your knowledge about the cell membrane and check all of the true statements below. Find the area of the rectangle please help! Please help me outttttttttt Sometimes new ideas in science come from traditional methods people used in the past. What did researchers learn from terra preta? How is bio-char different from the traditional Amazonian method of creating terra preta? who likes MacDonald's Please please please help. A 25 inch line segment is translated up 5 inches and to the left 10 inches. How long is the resulting line segment? 14$ plus 6% tax. $16 plus a 6%. Round to your nearest Read the sentence below:Before this time, in places like Egypt, Babylonia, and ancient China, individuals were generally regarded assubjects not as citizens."What does the word subjects mean as used in the text above? Select ALL that applyPlease help I need help with this! A recipe for sparkling grape jucie calle for 1 1/2 quarts of sparkling water and 3/4 quart of grape jucie. How much sparkling water would you need to mix with 9 quarts of grape jucie? Elimination method 10x-4y=-8 -5x+6y=10 6+n/5=9What is happening to the variable? How do you solve for the variable? Juanita has 3 rectangular cards that are 3 inches by 9 inches. How can she arrange the cards, without overlapping, to make one larger polygon with the smallest possible perimeter? How will the area of the polygon compare to the combined area of the 3 cards? PLEASE ANSWER THIS ASAP I ONLY HAVE 12 MINUTES !! How did the efforts of the mountain men help encourage expansion in the West?ILL GIVE YOU BRAINLEAST Assume that you randomly surveyed 3000 senior citizens in your state and asked them how many grandchildren each had. 960 had 3 grandchildren. Let X be the number of grandchildren a randomly selected senior citizen from the population has. Then P(X = 3) is . Which mutation(s) cause the product to be a non-functional protein?