Given P(A) = 0.44, P(B) 0.6 and P(An B) = 0.394, find the value of
P(AUB), rounding to the nearest thousandth, if necessary.

Answers

Answer 1

Given:

[tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex].

To find:

The value of [tex]P(A\cup B)[/tex], rounding to the nearest thousandth.

Solution:

We know that,

[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]

On substituting [tex]P(A)=0.44,P(B)=0.6,P(A\cap B)=0.394[/tex], we get

[tex]P(A\cup B)=0.44+0.6-0.394[/tex]

[tex]P(A\cup B)=0.646[/tex]

Therefore, the value of [tex]P(A\cup B)[/tex] is 0.646.


Related Questions

need some help rq....

Answers

Answer:

work will be explained in the explanation portion

1. x = 3

2. y = 5

3. x = 13

4. y = 2

5. c = 7

6. a = 34

7. unsure but -5/12

8. 16

Step-by-step explanation:

1. 11 - 8 = 3

2. 16 + 9 = 25      5 x 5 = 25

3. 9 + 4 = 13

4. 10 - 4 = 6          3 x 2 = 6

5. 45 - 3 = 42       6 x 7 = 42

6. 23 + 11 = 34

7. 2/3 = 8/12          1/4 = 3/12            8/12 - 3/12 = 5/12

8. 14 divided by 7/8 = 16 (use keep change flip)

HOPE THIS HELPS!! <33

Answer:

1.x=3

2.y=5

3.x=13

4.y=2

5.c=7

6.a=34

7.y=-5/12

8.w=16

Step-by-step explanation:

x+8=11

x=11-8

x=3

5y-9=16

5y=16+9

5y=25

y=25/5

y=5

x-4=9

x=9+4

x=13

3y+4=10

3y=10-4

3y=6

y=6/3

y=2

6c+3=45

6c=45-3

6c=42

c=42/6

c=7

11-a=-23

-a=-23-11

-a=-34

a=34

2/3+y=1/4

y=1/4-2/3

y=-5/12

7/8w=14

7w/8=14

7w=14×8

7w=112

w=112/7

w=16

Solve the equation using Order of Operations. (It's in the picture)
A) 87
B) 101
C) 68
D) 99

I am not allowed to use a calculator, by the way.

Answers

Step-by-step explanation:

(38+45)+9*2+3-59+((4/2)*3+8*5)=

83+18+3-59+(6+40)=

83+18+3-59+(6+40)=

83+18+3-59+46=

(83+18+3+46)-59=

150-59=91

I'm not sure if this is correct but it should be. Is it 4/2*3 or (4/2)³?If it is (4/2)³ the result would be 93.

QUADRATIC EQUATIONS HELP(no link or im reporting)

Answers

Answer:

D

Step-by-step explanation:

Given

x² - 8x +

To complete the square

add ( half the coefficient of the x- term )² to x² - 8x

x² + 2(- 4)x + (- 4)²

= x² - 8x + 16 → D

= (x - 4)² ← perfect square

PLEASE HELP HELP HELP HELP

Answers

Answer: 12

Step-by-step explanation:

A polynomial is an expression that contains more than one number, letter, etc. so 12 is a monomial, because it only has one number. Hope this helps!!

Please help with this due today

Answers

Answer:

B.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

3x + 40 + 2x = 180 (int angles of a triangle)

5x = 140

x=28

16.BONUS:
A lamp produced a shadow of a man standing in the middle of a stage.
21° 19°
25 meters
How long is the shadow?
;

Answers

Answer: 11.38

Step-by-step explanation:

I just did this math nation question and that’s what they said the answer was

The solution is, Length of the shadow = 11.4 m.

What are trigonometric relations?

Trigonometry can be stated as the study of the relationships between the angles and the lengths of the sides of triangles.

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

Given the graph:

The length of the shadow = y - x.

• To find x:

tan 21 = x/25

so, we get,

x = 25 * tan 21

  =9.6m

• To find y:

tan 40 = y/25

so, we get,

y = 25* tan40

  = 21m

Length of the shadow:

length = 21 - 9.6 m

           = 11.4m

so, we get,

Length of the shadow = 11.4 m

To learn more about trigonometric relations click :

brainly.com/question/14450671

#SPJ7

Hey guys!
Please help me out with these questions. Tmrw I have an exam... Will mark BRAINILIEST for the answer explaining proper steps. If I sound rude, please forgive me, I'm just stressed out.....

Thanks ​

Answers

Answer:

Step-by-step explanation:

A set of cards is numbered 1,2,3,4,5,6,7,8,9,10,11,12. Suppose you pick a card at random without looking. Find the probability of each event. Write as a fraction in simplest form for each questions.

P(3) =

P(a number that starts with the letter T) =

P(odd number) =

P(multiple of 4) =

P(3 or 5) =

P(13) =

Answers

Answer:

3= 1/12

a number with the letter T= 1/3

odd number= 1/2

multiple of 4= 1/6

3 or 5= 1/6

13= 0

Answer:

p(3)=1/3

p(a number that starts with the letter T)=1/3

p(odd number)=1/2

p(multiple of 4)=1/4

p(3 or 5)=1/6

p(13)=0

Help me with 8,9,10 please I really need help with this!!! Just real answers please

Answers

Answer:

The measure of side CD is 18cm

The measure of side BD is 15+15= 30cm

The perimeter of triangle CDE is 15+15+18 = 48cm

The value of y varies directly with x. If x=4, then y=10. a. Find the constant of proportionality. b. Write an equation to represent the situation.

Answers

Answer:

aaaa

Step-by-step explanation:

In a short paragraph, describe how you would determine the amount of work needed to pull a toboggan the length of a football field. Be sure to include the equipment list and describe the measurements that you will take.

really confused on what to do, please help!

Answers

Answer:

6/1 · 11/4 = 66/4 = 16 1/2

-10/3 · (-17/5) = 170/15 = 11 1/3

-9/2 · 26/3 = -234/6 = -39

11/6 · (-9/1) = -99/6 = -16 1/2

what is ur favorite anime mine is attack on titan

hello there good people here is 50 points for free have a good day

Answers

Answer:

I can't decide

Step-by-step explanation:

Answer:

Mine is one piece and kumo desu nani ga i love it lol

Step-by-step explanation:

14. Which numbers below are rational numbers?
2
-3.45
0.8989
All of the above

Answers

Answer:

All of them.

Step-by-step explanation:

They can all be written as a fraction a/b.

I need the answer please

Answers

Answer:

Parallel

Step-by-step explanation:

Because it is

A group of friends went to a sporting event. It cost $32 for each of them what was the total cost for all of them to get in

Answers

a group is around 4-8 people so i would go with 4 at first. 4x32= $128 so that’s your answer, hopefully!

x^2+2x=4 Can someone help me complete the square I forgot how to do it. pls show steps​

Answers

Answer:

First of all , you need to make the standard form of equation out of datas . In order to do that transfer (4) to the left side of equation and put 0 instead of it .

The next levels are shown in the above pics , sorry i coulden't write them here .

Step-by-step explanation:

Hope it was helpful dear .

please help :,))))))))

Answers

B is the answer to your question

Answer:

answer is B quack quack.

someone please help with this math question! ill give brainly if its correct

Answers

Answer:

x = 50, y = 61

Step-by-step explanation:

y + 8 + 2x + 11 = 180°

y + 2x = 161°

the total of the interior angles of the 5 sided polygon is:

(180 x 5) - 360 = 540°

540 = 98 + 98 + 125 + 108 + 2x + 11

2x = 100

x = 50°

y + 2(50) = 161

y = 61°

How do u make 987 mm to *what* cm?

Answers

Answer:

The answer is 98.7

Step-by-step explanation:

Easy! from the millimeter value divide it by 10 for example I have 142mm then the amount of centimeters I have is 14.2

Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️

Answers

Answer:

The answer is the second one!

Have a wonderful day/night! <3

The drama department was considering two options for the winter production. They used the following equations to represent the profit, y, they
would make from the sale of tickets, x, minus the costs.
Option A: y= 5x - 1500
Option B: y = 3x - 500
Which graph correctly shows the point after which Option A becomes more profitable than Option B?

Answers

Answer:

Graph D is correct

Step-by-step explanation:

This is complicated because the scales on the x-axis and y-axis are not the same. Graph D has the correct y-intercepts and the correct slopes. The solution is x = 500, where the two lines intersect.

The three townships of Springfield, Wyandot, and
Johnsonville form an equilateral triangle as shown
below. Write and solve an equation to determine the
value of x.
Wyandot
(62) mi
18.6 mi
Johnsonville
Springfield
X=

Answers

Answer:

x=23 miles

Step-by-step explanation:

heart if it helped

Answer:

X=23jkhhhhjhggguhhgyfv

Maria and Juan are married, filing jointly. Their taxable income is $154,849. Use the table below to write an equation to determine their tax. Then calculate their tax.

Answers

Answer:

The right answer is "$31,399.75".

Step-by-step explanation:

The given value is:

Taxable income,

= $154,849

According to the question,

The tax amount will be:

=  [tex]8,962.50 + (154,849 - 65,100)\times 25 \ percent[/tex]

=  [tex]8,962.50+(89,749)\times 25 \ percent[/tex]

=  [tex]8,962.50+22,437.25[/tex]

=  [tex]31,399.75[/tex] ($)

Identify three pythagorean triples using the known triple 8, 15, 17. What does this mean?​

Answers

Answer:

yes

Step-by-step explanation:

8² + 15² = 17²

64 + 225 = 289

289 = 289

\large f\left(x\right)=2\left(x+5\right)^2-7

Answers

Which word could you use to describe the author's purpose in an argument?

Convince

Describe

Entertain

Inform

Which expression is equivalent to -4(2k - 6) - 4k

Answers

Answer:

Factor and Simplfy

12k+24

Answer:

-12k+24

Step-by-step explanation:

-4(2k-6)-4k

do distributive property

-8k+24-4k

simplify

-12k+24

I think this is what the question is asking

Lin and Noah are solving the equation `7(x+2)=91`. Lin starts by using the distributive property. Noah starts by dividing each side by 7. Show what Lin's and Noah's full solution methods might look like.

HELPPP

Answers

Answer:

Step-by-step explanation:

Lin’s method

- multiply both x and 2 by  7

7x+14 = 91

- add -14 at both members

7x+14-14 = 91-14

7x = 77

- divide the two members by 7

x = 11

Noah’s method

- divide the two members by 7

x+2 = 13

- add -2 at both members

x+2-2 = 13-2

x = 11

Answer:

The solution is x=11

Step-by-step explanation:

The original equation is

7(x+2)=91

Lin uses the distributive property, which states that

a (x+y) = ax + ay

By applying the property to this case,

7(x+2)=91

7x+14=91

Then we subtract  14 on both sides:

7x+14 - 14 = 91-14

7x=77

Finally, we divide by 7 on both sides:

7x÷7 = 77÷7

x=11

Noah starts by dividing each side by 7, so he gets:

7(x+2)÷7 = 91÷7

x+2= 13

Then he can subtract +2 from both sides:

x+2-2 =13 - 2

x=11

So, they get the same result. The similarity between the two methods is that  they both divide by 7, while the difference is that Lin has to subtract 14, while Noah has to subtract 2.

The ratio of boys to girls in a class is 3 to 5. There are 35 boys in the class. what is the total number of students

Answers

there are 51 students in total
3:5, 6:10, 9:15, 12:20, 15:25, 18:30, 21:35
21+35= 51

Find the distance between the points (2, 4) and (8,-8) on a coordinate plane, to the nearest whole number.

Answers

Answer:

2,5

Step-by-step explanation:

2 to the right and 5 up

Solve for for n. 10(n+4) = 63

Answers

Answer:

n=23/10

Step-by-step explanation:

10(n+4)=63

n+4=63/10

n=63/10-4

n=23/10

decimal form: 2.3

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