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

PLEASE HELP! GIVING PONTS!

Answers

the least common denominator is 4 I believe
I think the answer is 4

what is the coefficient of x in the equation?
y=x+4

Answers

Answer:

1

Step-by-step explanation:

When a variable does not have a visible coeffecient then the coefficient is 1. (Double check to make sure I'm correct)

15 points for this question

Answers

Answer:

Step-by-step explanation:

3/3y=y/2y

3y=6

y=2

Choose Yes or No to tell if the fraction
will make each equation true.
3
+ a
=
23
24
Choose.. v
+=
Choose.. v
13
18
Choose.. v
-=+
Choose.. v
15

Answers

Answer:

yes

yes

no

yes

Step-by-step explanation:

The distance from Josh's house to the mall is 3.5 miles. The distance from Meg's house to the mall is 19,000 feet. Who lives closer to the mall, Josh or Meg? Use numbers and words to explain your answer.

Answers

Answer:

12

Step-by-step explanation:

Minxia counted 40 green cars and 20 silver cars in the parking lot. If the number of green cars stays the same, how many more silver cars would need to be added so the ratio of green cars to silver cars is 1 to 3?

Answers

Answer:

100 more  silver.

Step-by-step explanation:

The Commutative Property states that the order of terms in an expression does not affect the outcome. Which of the following operations does the Commutative Property apply? select all that apply

A. addition
B. subtraction
C. multiplication
D. division

Answers

I think the answer is B

PLEASE ANSWER ASASP FOR BRAINLEST!!!!!!!!!!!!!!

Answers

42.5 the 3.5x9 rectangle is 31.5. The left triangle is 2. The middle square is 4. And the right triangle is 5. You get the triangles by doing base times higher all divided by two and the rectangle/squares with base times hight

If a bicyclist travels 30 kilometers in two hours, her average speed is?

Answers

Answer:

Step-by-step explanation:


3. Thomas argues that a quadrilateral with one pair sides congruent and the other pair
of sides parallel is always a parallelogram. What is wrong with Thomas' argument?​

Answers

Step-by-step explanation:

one pair of side equal and other could be a trapezium as well...

he should have told that the two pair of sides are equal and parallel...

y + 8 < -2. the inequality is... HELPP

Answers

Answer:

y<-10

Step-by-step explanation:

Answer:

y < -10

Step-by-step explanation:

y + 8 < -2

y < -2 -8

y < -10

In a landscape plan, a rectangular flower bed is designed to be 4 meters longer than it is wide. If 60 square meters are needed for the plants in the bed, what should the dimensions of the rectangular bed be?

Write the equation and your solution.

Answers

Answer:

i dk and stop callin me slime

Step-by-step explanation:

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Equation is [tex]w^2+4w-60=0[/tex]

Given :

a rectangular flower bed is designed to be 4 meters longer than it is wide

60 square meters are needed for the plants in the bed.

Let 'w' be the width of the flower bed

and 'L' be the length of the flower bed

Length is 4 meters longer than its width

Length L= w+4

We know that the area of rectangle = length times width

[tex]Area = L \cdot W\\A=(w+4)(w)\\A=w^2+4w[/tex]

Given that the area is 60 square meters

Replace A by 60  and solve for 'w'

[tex]60=w^2+4w\\w^2+4w-60=0\\(w+10)(w-6)=0\\w+10=0, w=-10\\w-6=0, w=6[/tex]

Width cannot be negative, so width = 6 meters

length = width +4 = 6+4=10 meters

Dimension of rectangular bed is

length = 10 meters and width = 6 meters

Learn more: brainly.com/question/19579804

A frame around a family portrait has a perimeter of 94 inches. The length of the frame is 7 inches less than twice the width. Find the length and width of the frame.

Answers

Step-by-step explanation:

Let l be the length and w be the width of the frame.

We have 2(l + w) = 94 and l = 2w - 7.

Therefore 2[(2w - 7) + w] = 94.

=> 3w - 7 = 47

=> 3w = 54

=> w = 18

l = 2(18) - 7 = 36 - 7 = 29

Hence the length of the frame is 29in and the width of the frame is 18in.

How many terms will be in the expansion of (x-8y)^10?

There will be 10 – 1 = 9 terms in the expansion.

There will be 10 x 1 = 10 terms in the expansion.

There will be 10 + 1 = 10 terms in the expansion.

There will be 10 divided 1 = 11 terms in the expansion.

NEED THIS ASAP

Answers

Answer:

Step-by-step explanation:

There will be 10+1 = 11 terms in the expansion.

what is the solution to the equation x - 3.9 = 12.4

Answers

Answer:

16.8

Step-by-step explanation:

equation: x - 3.9 = 12.9

add 3.9 to 12.9

answer is 16.8

can someone please help ? (:

Answers

Answer:sure what do you need

Step-by-step explanation:

n

The area is 81 because you multiply 9 times 9 is 81 and then you round to the nearest tenth is 81.0

please help. no body ever helps right away. i’ll mark brainlist and give thanks. geometry btw

Answers

9514 1404 393

Answer:

  437.3 ft

Step-by-step explanation:

The angle of depression can be copied inside the triangle to the angle of elevation (at lower right). Then the side x can be seen to be adjacent to the angle.

The mnemonic SOH CAH TOA reminds you of the relations. Here, we have the hypotenuse and we want the adjacent angle. The relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(29°) = x/(500 ft)

Multiplying by 500 ft gives ...

  x = (500 ft)cos(29°)

  x ≈ 437.3 ft

_____

Additional comment

You have posted a number of problems that make use of this geometry. They are all solved the same way:

  a) identify the desired measure and the given measures

  b) using SOH CAH TOA, identify the relation applicable to those measures

  c) fill in the given values in the equation

  d) solve for the unknown

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Answers

Answer:

your final answer include all of your calculations

Step-by-step explanation:

given triangle abc find the values of x and y in your final answer include all of your calculations

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Answers

Answer:

11 ! have a great dayy:) !

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Answers

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Answers

Answer:

1. 5/6 - 6/5     2. 1/8 - 8     3. 6 2/3 - 20/3 - 3/20

Step-by-step explanation:

In mathematics, the reciprocal, also known as multiplicative inverse, is the inverse of a number x. denoted as 1/x or x-1. This means that the product of a number x and its reciprocal yields 1

Hope this helps!!!

Candidate B recieved 5 times as many votes as Candidate A. Whats the ratio of votes for Candidate B to votes for Candidate A?

Answers

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Mark buys 250 carnival tickets. He uses 30% of the tickets on food and 50% of the tickets on games and rides. How many tickets does Mark have left?

Answers

Answer:

50.

Step-by-step explanation:

50+30 =80%. 80% of 250 is 200. so he used 200 and now left with 50

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Answers

Answer:

Step-by-step explanation:

a. we do first the multiplication 3*4=12

-9-12=-21

b. you do parenthesis first

(-2)^3=-8  

(-8)*(-4)= +32

now we have (32)-3=29

c. as you see in the red square we do multiplication first, than division

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9/5 equal blank divided by blank

Answers

Answer:

9/5 = 1/5 divided by 1/9

Step-by-step explanation:

1/5 x 9/1 = 9/5


What is the slope of the line that passes through the points (-6, -7) and
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Answers

Answer:

-18/0 or 0

Step-by-step explanation:

kaylie swims 1500m every monday,,wednesday, friday, and saturday. Sunday, she swims 1800m. how much km does she swim each week?

Answers

Answer:

If she swims everyday but tuesday and sunday she would had swim 6000m a week But if you going to count sunday she swims, 7800m a week.

Step-by-step explanation:

Start off with 1500m.

Since it's monday, wednesday, friday and saturday it would be

1500x4

Which equals 6000. If you want to add sunday into it just take the 6000 and add 1800 and you will get

7800.

there are 598 goldfish divided equally among 23 fish tanks about how many goldfish are in each tank​

Answers

The answer is 26 :) hope it’s helps (^ω^)

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Answers

Answer:

2.25

Step-by-step explanation:

In order to find area, you just multiply height by width. A circle is even on all sides, so you do 1.5 times 1.5.

Answer-2.25 . Multiply height and width

A dilation maps AB onto A'B'. If the coordinates of the
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what is the scale factor?

Answers

Answer:

[tex]k = 2.5[/tex]

Step-by-step explanation:

Given

[tex]A = (4,2)[/tex]

[tex]A' = (10,5)[/tex]

[tex]B = (10,6)[/tex]

[tex]B' = (25,15)[/tex]

Required

Determine the scale factor (k)

Scale factor is calculated using:

[tex]Old * k = New[/tex]

In this case, we have:

[tex]AB* k = A'B'[/tex]

Make k the subject

[tex]k = \frac{A'B'}{AB}[/tex]

Using point A and A'

[tex]k = \frac{A'}{A}[/tex]

[tex]k = \frac{(10,5)}{(4,2)}[/tex]

Factorize the numerator

[tex]k = \frac{2.5(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*\frac{(4,2)}{(4,2)}[/tex]

[tex]k = 2.5*1[/tex]

[tex]k = 2.5[/tex]

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