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

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

B:A=5:1 because B is 5 times A. for every one vote A has, B has 5

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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

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

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Learn more: brainly.com/question/19579804

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

You may need to make use of what you know about angles and triangles in order to relate given angles to ones you need to use.


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

Answer:

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Step-by-step explanation:

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Answers

Answer:

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

Step-by-step explanation:

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A(4,2),
A'(10,5),
B(10,6),
B'(25, 15), then
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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]

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

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[tex]k = 2.5[/tex]

Please help me with this. I give brainliest and give ratings. Don't answer just to take my points or your getting reported.

Answers

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Answers

Answer:

y<-10

Step-by-step explanation:

Answer:

y < -10

Step-by-step explanation:

y + 8 < -2

y < -2 -8

y < -10

Need help rn by 10:42am est

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!!!

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Answers

Answer:

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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

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Step-by-step explanation:

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Answers

Step-by-step explanation:

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Answers

Answer:

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Answers

Step-by-step explanation:

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

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Answers

Answer:

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Step-by-step explanation:

Start off with 1500m.

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

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Step-by-step explanation:

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n

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Answer:

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

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