Events A and B are such that
P(A|B) = 0.3, P(A|B') = 0.8 and P(B) = 0.2
Work out P(B|A')

Answers

Answer 1

Answer:

P(B|A') = 7/15

Step-by-step explanation:

P(B) = 0.2

P(A|B) = 0.3

P(A|B)=P(A and B) / P(B)

0.3=P(A and B) / 0.2

P(A and B)=0.06

P(B') = 1 - P(B) = 1 - 0.2 = 0.8

P(A|B') = 0.8

P(A|B')=P(A and B') / P(B')

0.8 = P(A and B') / 0.8

P(A and B') = 0.64

P(A)=P(A and B) + P(A and B')=0.06+0.64=0.7

P(A')=1-P(A)=1-0.7=0.3

P(A' and B) + P(A and B) = P(B)

P(A' and B) = P(B) - P(A and B)

P(A' and B) = 0.2 - 0.06 = 0.14

P(B|A') = P(A' and B) / P(A')

P(B|A') = 0.14 / 0.3 = 7/15


Related Questions

find the length of arc CDB. Round your answer to the nearest whole number. Leave your answer in terms of pi

Lenth of CDB=

Answers

Answer:

1

Step-by-step explanation:

1

Logarithmic and exponential functions are used in which of the following areas?

A. Physical science
B. Social sciences
C. Cooking
D. Electronics
E. business

Answers

Well I think that it’s A,B,D,E :)

Answer:

Physical science, electronics, business, and social sciences.

Step-by-step explanation:

Many applications of logarithmic and exponential functions exist in areas like physical science, electronics, business, and social sciences.

There are 42 different types of ice cream at the grocery store the probability that ice cream selected at random has chocolate in it is 2/7. How many of ice cream options to the grocery store do not have chocolate?

Answers

Answer:

Step-by-step explanation:

42-42(2/7)

42-12

30

There are 30 options with no chocolate.

Identify the parent function of each:

A) Linear Function _______________________________

B) Absolute Value Function ________________________________

C) Quadratic Function ______________________


need answers ASAP pls

Answers

Answer:

I think its B.) not completely sure but i think so !!!!:)

What is y=2x-3 y=-3/4x-1/4 with work shown please help

Answers

2X-3 = -3/4x -1/4
Add 3 on both sides: 2X = -3/4x + 2.75
Add -3/4x on both sides: 2.75X = 2.75
Divide 2.75 on both sides: x= 1

hope this helped

A rectangular rug measures 9 feet by 6 feet. The rug has two nooverlapping yellow circles that each have a diameter of 3 feet. The part of the rug not covered by the circles is blue. What percentage of the rug is blue​

Answers

Answer:

54%

Step-by-step explanation:

Answer:

Step-by-step explanation:

oh u do ?

if f(x) = -x^3 + x^2 + x, find f(-2)​

Answers

Answer:

Hope this helps let me know

Answer:

-(-2)^3 + (-2)^2 + -2

2^3 -2^2 -2

8+4-2

=10

If two angles of a triangle are 75° and 40°, how many degrees is the third angle

Answers

Answer:65°

Step-by-step explanation:40+75+x=108X=65

A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.

Answers

Answer:

the woman has to live 1 mile from work to minimize the expenses

Step-by-step explanation:

Given the data in the question;

the distance within 9 miles ⇒ 0 < x > 9

Total costs Q = cx + 4c/( x + 1)

costs should be minimum  ⇒ dQ/dx = 0

⇒ d/dx [ cx + 4c/( x + 1) ] = 0

⇒ ( x + 1)² = 4

take square root of both side

√[ ( x + 1)² ] = √4

x + 1 = 2

x = 2 - 1

x = 1

Therefore, the woman has to live 1 mile from work to minimize the expenses

Last year, 20% of all claims were for weather-related damage (excluding floods), with an average weather-related damage claim being $6,500. What is the expected value (loss or gain) per weather-related claim to Acasa for every customer who chooses plan B?

-$1,380

-$180

$100

$1,180

Acasa Insurance Company offers several plans for home insurance.

Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.

Answers

Answer:

100

Step-by-step explanation:

i got it right on the test !!

The U.S. Energy Information Administration (US EIA) reported that the average price for a gallon of regular gasoline is . The US EIA updates its estimates of average gas prices on a weekly basis. Assume the standard deviation is for the price of a gallon of regular gasoline and recommend the appropriate sample size for the US EIA to use if they wish to report each of the following margins of error at confidence. Round up to the next whole number.

a. The desired margin of error is $.10. The appropriate sample size is ____.
b. The desired margin of error is $.06. The appropriate sample size is ____.
c. The desired margin of error is $.04. The appropriate sample size is _____.

Answers

Answer:

The answer is "23, 62, and 139"

Step-by-step explanation:

In point a:

[tex]\to \sigma = \$0.24\\\\ \to E = \$0.10\\\\ 95\% \text{confidence level of the z}: \\\\\to \alpha = 1 - 95\% = 1 - 0.95 = 0.05\\\\\to \frac{\alpha}{2} = \frac{0.05}{2} = 0.025\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\[/tex]

 Calculating the sample size:

[tex]\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma)}{E})^2[/tex]

      [tex]= (\frac{(1.96 \times 0.24 )}{0.10})^2\\\\= 22.13 \approx 23[/tex]

In point b:

[tex]\to \sigma = \$0.24\\\\\to E = \$0.06\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\[/tex]

      [tex]= (\frac{(1.96 \times 0.24 )}{0.06})^2\\\\= 61.47 \approx 62[/tex]

In point c:

[tex]\to \sigma = \$0.24\\\\\to E =\$0.04\\\\\to Z_{\frac{\alpha}{2}} = Z_{0.025} = 1.96\\\\\to n = (\frac{(Z_{\frac{\alpha}{2}} \times \sigma )}{E})^2\\\\[/tex]

      [tex]= (\frac{(1.96\times 0.24 )}{0.04})^2 \\\\=138.30 \approx 139[/tex]    

HELLLPP ANY HELPS PLEASE I NEED HELP I AM RUNNING OUT OF TIME !!

Answers

Answer:

Option A

x + 2x + x + 15 = 100

Step-by-step explanation:

Shortest side = x

One side twice length of Shortest side = 2x

Another side 15 more = x + 15

Hence, perimeter

=> x + 2x + x + 15 = 100

Find the area of the irregular polygon 4ft and 12ft and 8ft

Answers

Answer:

I think it is 24

Step-by-step explanation:

Please help! Thank you, Picture down Below!

Answers

Answer:

A.24

Step-by-step explanation:

that is the.value of x

Answer:

(5x + 15)⁰+ (3x - 3⁰) = 180⁰ ( same side on interior angle theorm)

(8x + 12)⁰= 180⁰

8x = 168⁰

x = 21

Hope it helps u

You earn $35 for washing 5 cars. How much do you earn for washing 4 cars?

Answers

Answer:

28

Step-by-step explanation:

brainliest?

Answer:

$28

Step-by-step explanation:

Hello There!

The first thing we want to do is find how much money we earn for washing 1 car

To do so we divide 5 (amount of cars washed) by the money we made from washing those 5 cars

35/5=7

so every car we wash we make 7 dollars

now we multiply the amount of money we make washing one car by 4

4x7=28

so we would earn $28 for washing 4 cars

~TheMathWiz

Consider A is a set and B is another set, if Au B=A n B, then
Select one:
A = B
A = Null
A = U
B = Null​

Answers

A = B

HOPE IT HELPS YOU...

I’ll give points and brainalist for answer / explanation

Answers

Answer:

C. 678 in²

Step-by-step explanation:

Area of circle: A = πr²foot to inch: 1 ft = 12 in

Given radius of concentric circles:

0.5 ft = 6 in1 ft = 12 in1.5 ft = 18 in

The shaded area:

Area of big circle - area of middle circle + area of small circleπ(18²) - π(12²) + π(6²) ≈ 678 in²

Correct choice is C

Please need help on this not too sure on it. Anyone have a clue on this

Answers

The correct equation is y = 6x + 50

plz answer this question..plzz​

Answers

Answer:

[tex]Side\ 3 = 5p^2q + 3r[/tex]

Step-by-step explanation:

Given

[tex]Perimeter = 7p^2q + 13r[/tex]

[tex]Side\ 1 = 14r[/tex]

[tex]Side\ 2 = 2p^2q - 4r[/tex]

Required

Find the length of the third side

Perimeter is calculated as thus:

[tex]Perimeter = Side\ 1 + Side\ 2 + Side\ 3[/tex]

This gives:

[tex]7p^2q + 13r = 14r + 2p^2q - 4r + Side\ 3[/tex]

Collect like terms

[tex]Side\ 3 = 7p^2q - 2p^2q + 13r - 14r + 4r[/tex]

[tex]Side\ 3 = 5p^2q + 3r[/tex]

Find the unknown length x in the right triangle, to the nearest tenth. ​

Answers

Answer:

x = 13.5

Step-by-step explanation:

sin 40 = x/21

0.6428 = x/21

x = 13.5

x=13.5

sin 40=x/21
0.6428 = x/21
x = 13.5

Timothy Darling wants to buy a new car. He has been pricing a new car that has a base price of $18,905.00. He is interested in several options that total $4,125.50. The destination charge is $600.00. Find the sticker price

Answers

18905+4125.5+600=13630.5

A 12-sided die is rolled. The set of equally likely outcomes is \ 1.2.3.4.5.6.7.8.9.10.11.12) . Find the probability of rolling a 9

Answers

Answer:

1/12

Step-by-step explanation:

Of the 292 students at Central Middle School, 25% are on the honor roll.
How many students are on the honor roll?

Answers

Answer:

73 students

Step-by-step explanation:

0.25×293=73

answer please.. need asap. algebra

Answers

Can be two variations

(xy)^3

3x^2y^3

Both are correct it’s just a different way of writing it

using my last points: HELP!

Answers

A: 126.
EXPLANATION:
by finding a volume of a prism you multiply the length, width and height
A: 126 cubic centimeters
Explanation:
To find volume, you do length * width * height

9 x 7 x 2 = 126

126 cubic centimeters

Write with numbers:
32
Four hundred sixty seven and
100

Answers

thirty two
467
one hundred

1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *

True
False

Answers

The answer is true because it is the same

Apply the problem-solving techniques to solve the following problem Growth Nadia owns a chain of fast food restaurants that operated 200 stores in 1999. If the rate of increase is 8% annually, how many stores did the restaurant operate in 2007?
A.390 stores
B.350 stores
C.420 Stores
D.370 stores​

Answers

Answer:

D.370 stores​

Step-by-step explanation:

The restaurant chain operated 370 stores in 2007

Answer:

D.370 stores​

Step-by-step explanation:

Because it is the "Correct Answer"

Calvin paints pictures and sells them at art shows. The charges $56.25 for a large painting. He charges $25.80 for a small painting. Last month he sold six large paintings and three small paintings. How much did he make in all?

Answers

Answer:

He made $414.90 in all.

Step-by-step explanation:

56.25 * 6 = $337.50

25.80 * 3 = $77.40

77.40 + 337.50 = $414.90

8=1/3(a+5) plz find A plz

Answers

Answer:

18.99 or 19 when rounded

Step-by-step explanation:

[tex]8 = \frac{1}{3} (a + 5) \\ 8 = \frac{1a}{3} + 1.67 \\ 3 \times 8 = \frac{1a}{3} + 1.67 \times 3 \\ 24 = a + 5.01 \\ 24 - 5.01 = a + 5.01 - 5.01 \\ 18.99 = a[/tex]

Therefore a = 18.99

Other Questions
A double negative is a construction in which two ore more negative words are used where one is sufficient.NONSTANDARD: Herbert never has no time to relax no more.STANDARD: Herbert never has any time to relax any more.ORHerbert has no time to relax any more.The contraction nt is a shortened way of saying not. Do not use the contraction nt with another negative word.NONSTANDARD: There isnt no tread on those tires.STANDARD: There isnt any tread on those tires.Other negative words that a writer should not pair up with additional negative words include: no, not, nothing, barely, scarcely, and hardly.NONSTANDARD: They scarcely had no tickets left for the concert.STANDARD: They scarcely had any tickets left for the concert. Directions: Now you try it. Rewrite each of the sentences below correcting it so there are no double negatives. Remember that there is often more than one way to correct each error. 1. I couldnt barely hear my baby brother crying for his bottle.i could barely.2. Giorgio didnt have no papers on his desk during the exam.giorgio didn't have any3. I heard her say that she didnt do nothing wrong. she didn't do anything4. Doris doesnt have no more time to practice her trumpet. Doris doesn't have anymore5. We hadnt scarcely enough orange juice for the family at breakfast.we had scarcely enough6. I looked for clues concerning his disappearances but didnt find nothing for several weeks.didn't find anything7. I dont want no more trouble, the frustrated shopkeeper exclaimed at the meeting.i don't want anymore trouble8. I havent never seen no marsupials, even on television.____________________________________________________________________________9. My grandmother Sanchez hasnt never left her beautiful homeland of Puerto Rico.____________________________________________________________________________10. Soon-Yi doesnt have no easy answers to that complicated problem.____________________________________________________________________________11. We dont need no education.____________________________________________________________________________12. I cant get no satisfaction.____________________________________________________________________________13. They cant hardly run the required distance.____________________________________________________________________________14. Harry doesnt have no reason to complain.____________________________________________________________________________15. The seagulls do not ever resist the waste receptacles at the beach.____________________________________________________________________________16. Our choir members cant scarcely hear the directors cue.____________________________________________________________________________17. It really does not make no difference to them.____________________________________________________________________________18. When we looked for disposable razors on the shelf in the drugstore, we found that there wasnt none.________________________________________________________________________________________________________________________________________________________19. Unfortunately, the search party hasnt found none of the missing airplane parts.____________________________________________________________________________20. My mother couldnt locate none of the other web sites.____________________________________________________________________________ write an algorithm that reads two values determines the largest value and prints the largest value with an identifying message in Python x/6 + 12 = -12i dont know what x is My college teacher and I had an argument because she kept making fun of me, so I told her to go away, and she said, "Why are you coming cocky?" What should I say to her in order to win the argument? Ill give brainliest to whoever comments the best comeback! I promise IPls pls answer quick I will give brainly A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake afterexploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=-16x + 64x + 80. What is the maximum height of the rocket? If a business wants to open in a new country, when would it be the best time to do that on the Business Cycle? Why? In the early 1900s, the federal government began an irrigation project in the blank Mrs. Murphy has 83 rulers to divide among her studentsWrite an expression using a variable to represent the situation. May someone please help !!!!! read the story and answer part A and B . If you read all this and come up with the correct answer I will cash app you because I know its a lot of reading . Yes, it's legit ! Read this excerpt from "Wiley, His Mama, and the Hairy Man in The People Could FlyNow, facts are facts. Wiley was a boy. He and his mama lived by themselves with just Wileys dogs.What makes this excerpt part of the exposition of the story?It tells about the antagonist of the story.It tells about the antagonist of the story.It states the main conflict of the story.It states the main conflict of the story.It describes the setting of the story.It describes the setting of the story.It introduces the main character Why did the Shah come to the United States in 1979?Which US President allowed him to come to the US? Charlotte borrows $9000 to buy a second-hand car. The loan must be repaidover 5 years at 12% p.a. simple interest. Calculate thetotal amount to be repaid what is one reason soldiers were shunned when they returned from Vietnam? Complete the equation for f(x) Why does your boat float but not your ring? BRAINLESTTTTT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! If WZ = 23 and XZ = 18, what is YZ?pls help Provide the correct form of the AR verb in the imperfect tense1. Mi familia y yo _______________________ (pasar) todos los veranos en la playa2. Los estudiantes __________________ (almorzar) en la cafetera.3. Yo __________________ (tocar) la trompeta en la banda.4. T _____________________ (cenar) a las ocho todos los das.5. Mi primo _____________________ (estudiar) todas las noches. Please when answering show your full work. Step-by-step process.