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

Use a factor tree or similar method to write 4400 as a product of
prime factors. Display your factor tree in your answer. If you
choose to use an alternative method, clearly show your working:
just writing down the answer is not sufficient.

Answers

Answer:

4,400 = 44 * 100

44 = 2 * 2 * 11

100 = 2 * 2 * 5 * 5

prime factors = 2 * 2 * 2 *2 * 5 * 5 * 11

Step-by-step explanation:

1/2y=13
Solve for y.

Answers

Answer:

The correct answer is Y = 26

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{1}{2}y = 13}[/tex]

[tex]\large\textsf{MULTIPLY 2 to BOTH SIDES}[/tex]

[tex]\mathsf{2\times\dfrac{1}{2}y=2\times13}[/tex]

[tex]\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}[/tex]

[tex]\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}[/tex]

[tex]\mathsf{2\times13=\bf y}[/tex]

[tex]\mathsf{2\times13 = \bf 26}[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A computer lab has an average of 5 students per hour. Find the probability that
there will be exactly 8 students in the lab for a certain hour

Answers

Answer:

prob. (8std.)=8/(5+8)

scrieți divizorii întregi ai numerelor 6,9,15

Answers

Answer:

`15

Step-by-step explanation: i think

James joins Club one which charges a monthly membership of 19.99 how much will James spend in all if he continues his membership for six months

Answers

He will spend $1119.94

What us the measure of the missing angle?

Answers

Answer:

None of them

Step-by-step explanation:

Because 30+135+45 add up to 210 then if you add 30, or 45 degrees it will be more than 180 degrees. If you subtract -15 from 210 you will get 195 which is still not right. So the best  answer is none of the above

Hope this helps

What are the slope and y-intercept of line r and line s?​

Answers

Answer:

S y-intercept (0,2)

R y intercept (0,0)

Step-by-step explanation:

I need help on 13 and 14, you will get 25 points with brainlyist!!!

Answers

Answer:

14 is C and 13 is also C

Step-by-step explanation:

so 14 and 13 a both C

mark brainliest or give 1 heart and 5 stars or maybe both

PLEASE HELP, I NEED THIS OR I WILL FAIL MY CLASS PLZZZZ.
30 POINTS AND BRANILEST

Answers

It’s Linear

Explanation:

Answer:

this is 5 points not 30 mate

Your answer is B

Step-by-step explanation:

have a nice day

i hope this helps

mark brainliest please :)

PLEASE HELP YOU’LL GET 15 POINTS

358.41x10^5 in standard form

Answers

Answer:

35,841,000

Step-by-step explanation:

358.41x10^5

Move the decimal 5 places to the right

35,841,000

2. Lin and her friends went out for ice cream after school. The following questions came up during their trip. Select all the questions that are statistical questions.

What is the most popular ice cream flavor this week?

Do kids usually prefer a cup or a cone?

What does a group of 4 people typically spend on ice cream at this shop?

How many toppings are there to choose from?

How far are we from the ice cream shop?

Answers

Answer:1: The top pick among US adults is a classic: chocolate ice cream. Close to one in five (17%) Americans say this is their favorite flavor. Vanilla (15%) is also a popular choice, coming in ahead of strawberry (8%), mint chocolate chip (8%), butter pecan (8%), chocolate chip cookie dough (6%), and cookies n crème (6%).

2:More than 37 percent of respondents prefer to eat their ice cream in a cup or bowl, followed by 26 percent preferring a cone, 12 percent opting to eat ice cream out of the carton, 11 percent enjoying a sundae, 10 percent choosing a milkshake and 6 percent preferring an ice cream cookie sandwich.

heres 1 and 2

Step-by-step explanation:

Selected statistical questions:

What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

The following traits can be used to recognize a statistical query:

It entails gathering or studying data.It cannot be replied to with a straightforward yes or no.It queries dispersion or variability within a population or group of data.It aims to derive broad inferences from data.It provides for a variety of potential solutions or results.

Selected statistical questions:

What is the most popular ice cream flavor this week?Do kids usually prefer a cup or a cone?What does a group of 4 people typically spend on ice cream at this shop?How many toppings are there to choose from?

Learn more about sample space here:

brainly.com/question/30206035

#SPJ2

2 (3m+6) what is the answer?

Answers

Answer:

hi

Step-by-step explanation:

2(3m+6)=2×3m+2×6=6m+12

have a nice day

2*3m=6m and 2*6=12 then the answer is 6m+12

Gerald has a bag of 10 colored balls: 3 green, 3 red, and the rest yellow. He randomly draws two balls, one at a time without replacement. Find the probability of drawing at least one yellow ball.

Answers

Answer:

2/3

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that there are 10 balls of which 3 green, 3 red, and the rest yellow

Number of yellow balls = 10 - 3 - 3 = 4

Probability of picking a;

Green ball  = 3/10

Red ball = 3/10

Yellow ball = 4/10

If two balls are picked without replacement, the probability that one is at least yellow will be

YR RY YG GY YY

= 4/10*3/9 + 3/10*4/9 + 4/10*3/9 + 3/10*4/9 + 4/10*3/9

=12/90 *5

= 2/3

find the missing number in each below

1. (8+9)+10=8+(_+10)
2. 46+(_+4)=46+4)+50
3. 2,345=1900+_145
4. 12x(8+_)=12x8+12x2
5. 4x9=12x_=36
6. (8x5)x3=8x(5x_)

pasagot po plss​

Answers

9
50
445?
2
3
I think these are correct

6+6+5-6+2-7+10-1 divided by 3

Answers

Answer:

5

Step-by-step explanation:

5 is your answer
Brainliest would be nice

A girl successfully made 12 free throws yesterday today she made 150% as a nanny how many successful Fritos did she make today

Answers

Answer:

18 throws

Step-by-step explanation:

Given data

Number of throws= 12

Let us 150% if 12

=150/100*12

=1.5*12

=18 throws

Hence she made 18 throws today

Find the volume of the cylinder.

Answers

Answer:

[tex]1205.8 \: {in}^{3} [/tex]

Step-by-step explanation:

For given cylinder:

Radius (r) = 4 in

Height (h) = 24 in

[tex]V_{cylinder} =\pi {r}^{2} h \\ \\ = 3.14(4)^{2} (24) \\ \\ = 1,205.76 \\ \\ \approx 1205.8 \: {in}^{3} [/tex]

Meljer is selling a 9.25 oz bag of Doritos for $3.50. What is the cost per ounce of Doritos? Round your answer to the nearest penny (hundredths of a dollar).

Answers

Answer:

0.38

Step-by-step explanation:

We will use ratios:

[tex]\frac{9.25}{3.5} =\frac{1}{x} \\\\9.25x=3.5\\x=0.38[/tex]

Please help me with the math questions!!!

1. Becky received $1,900 from her tax returns last year. If she invests that money in an account that yields 5.9% interest and is not compounded, how much interest will she earn if she leave the money in the account for 2 3/4 years?

2. Edward invested $43,800 in an account with yields 4.8% annually and is not compounded. How much will be in the account after two years?

3. Frank invested $12,700 add 8.8% interest that is compounded annually. What is his total balance after five years?

4. When Georgia started kindergarten, her parents set aside $10,000 in an account that yielded 5.6% interest compounded annually to pay for her college tuition. After six years of elementary school, three years of middle school and four years of high school, how much was in the account for Georgia’s college to tuition?

5. Harrison has an account with a balance of $155.59. This account has an interest rate of 9.4% compounded annually and the initial investment was two years ago. How much was the initial investment?

6. Iago invested $1240 in an account that yields 8% and is compounded annually. How much interest will Iago earn after two years?

7. At the end of three years, Josh had a balance of $1837.57 in an account that yielded 7% interest compounded annually. How much of that was interest?

Answers

Answer:

#1. $308.28

#2. $48,004.80

#3. $19,361.91

#4. $20,306.31

#5. $130.00

#6. $206.38

#7. $337.57

Step-by-step explanation:

All rounded to the near tenths place

and i just did this same assignment rn

The slope of the line that passes through the points on the graph of the function is

Answers

I do believe that this answer will Slope intercept

First answer is:

150

Second answer is:

B. Is is the common difference.

Which of the following images show a rotation of 270 counter-clockwise?

Answers

Answer:

top left

Step-by-step explanation:

Plz help I’m getting timed

Answers

Answer:how long u got to answer the question

Step-by-step explanation:

1. The following circle graph was published in the Cane County annual report. If there are 1,000 registered voters in Cane County how many are 35-45 years old?

A 150 voters
B 250 voters
C 300 voters
D 350 voters​

Answers

Answer:

C

Step-by-step explanation:

trust

Donna borrowed $10, 500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether?

Answers

Question:-

Donna borrowed $10,500 at a simple interest rate of 4% for 3 years to buy her new car. How much interest would Donna pay and how much is the car altogether ?

Answer:-

Given:-

[tex] \bullet [/tex] Principal (P) = $10,500

[tex] \bullet [/tex] Rate of interest (r) = 4%

[tex] \bullet [/tex] Time (t) = 3 years

To Find:-

Interest of Donna and amount of car altogether.

Solution:-

We know,

[tex] { \boxed{\rm \red {I \: = \frac{Prt}{100}}}} [/tex]

[tex] \therefore [/tex] I = [tex] \frac{10,500 \: × \: 4 \: × \: 3}{100} [/tex]

I = [tex] \frac{126,000}{100} [/tex]

I = $1260

Now,

Amount of the car = $ (10,500 + 1260)

= $ 11,760

$1260 interest would Donna pay and $11,760 is the car altogether. [Answer]

Step-by-step explanation:

We know that Interest = Principal×Rate×Time/100

So,

10,500×4×3/100

= 10,500×3/25 (by cancelling 100 by 4)

=31500/25

= 1260

Therefore,

$1260 Answer

hope it helps.....

Given the midpoint and one endpoint of a line segment, find the other endpoint.
Endpoint: (-4,-10), midpoint: (-8,-4)

Answers

Answer:

(-12 , 2)

Step-by-step explanation:

GIVEN :-

Co-ordinates of one endpoint = (-4 , -10)Co-ordinates of the midpoint = (-8 , -4)

TO FIND :-

Co-ordinates of another endpoint.

FACTS TO KNOW BEFORE SOLVING :-

Section Formula :-

Let AB  be a line segment where co-ordinates of A = (x¹ , y¹) and co-ordinates of B = (x² , y²). Let P be the midpoint of AB . So , by using section formula , the co-ordinates of P =

[tex](x , y) = (\frac{x^2 + x^1}{2} ,\frac{y^2 + y^1}{2} )[/tex]

PROCEDURE :-

Let the co-ordinates of another endpoint be (x , y)

So ,

[tex](-8 , -4) = (\frac{-4 + x}{2} , \frac{-10 + y}{2} )[/tex]

First , lets solve for x.

[tex]=> \frac{x - 4}{2} = -8[/tex]

[tex]=> x - 4 = -8 \times 2 = -16[/tex]

[tex]=> x = -16 + 4 = -12[/tex]

Now , lets solve for y.

[tex]=> \frac{y - 10}{2} = -4[/tex]

[tex]=> y - 10 = -4 \times 2 = -8[/tex]

[tex]=> y = -8 + 10 = 2[/tex]

∴ The co-ordinates of another endpoint = (-12 , 2)

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. The second lap took her 1 12more minutes than the first lap. The third lap took her 1 10less minutes than the second lap. How much time did it take her to finish the third lap?

Answers

Answer:

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Step-by-step explanation:

:))

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap. it takes her to finish the third lap time in 49/60 minutes.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Olivia is an athlete. During training this morning, she ran three laps. It took her 5 6minute to finish the first lap.

The second lap took her 1 12more minute than the first lap.

The third lap took her 1 10less minute than the second lap.

First lap time = 5/6 minute

Second lap time = 11/12 minute

Third lap time = 49/60 minute

Learn more about the unitary method;

https://brainly.com/question/23423168

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Find the volume of the irregular
figure.
2 cm
2 cm
?
cm3
4 cm
5 cm
2 cm
2 cm

Answers

Answer:

24 + 12 = 36

Step-by-step explanation:

find the volume of the upper left part by finding the dimensions

it already gives 2 side lengths: 2 and 2. To find the 3rd side length you can take 5 - 2 to get 3. 3*2*2 = 12

find the volume of the bottom portion by finding the dimensions. we are given 2 sides again: 2 and 2. to get the upper long side, we can do 4 + 2 to get 6. 6*2*2 = 24

24+12= 36cm^3

Find the value of x if 2x = 20 .​

Answers

Answer:

x = 10

Step-by-step explanation:

Divide both sides by 2.

(2x) / 2 = 20 / 2

x = 10

Answer:

The answer is going to be 10.

Step-by-step explanation:

1) Diving both sides by 2.

[tex]x = \frac{20}{2} [/tex]

2) Simplify 20/2 to 10 because 20 ÷ 2 is 10.

[tex]x = 10[/tex]

Therefor, the answer for x is x = 10.

Helpppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

147

Step-by-step explanation:

Answer:

x= 147

Step-by-step explanation:

x+33°= 180° (sum of angles on a straight line)

x= 180°-33°

x= 147°

i REALLY need answers, like if you see this PLEASE answer it

Answers

-4, -1, 1, 3, 3.9, 3.999,
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