You are told that PA I B) = PBIA). Which statement below must be true?
O A and B are equally likely
O A and B are independent
O PAI B) = 0.5
A and B are dependent​

Answers

Answer 1

Answer:

A and B are equally likely

Explanation:

The conditional probability is defined as follows:

[tex]P(X|Y)=\frac{P(X\cap Y)}{P(Y)}[/tex]

where:

[tex]P(X|Y)[/tex] is the probability for X to occur, given that Y has occurred

[tex]P(X\cap Y)[/tex] is the probability that both X and Y occur at the same time

[tex]P(Y)[/tex] is the probability for Y to occur

Given two events A and B, we have:

[tex]P(A|B)=\frac{P(A\cap B)}{P(B)}[/tex]

and

[tex]P(B|A)=\frac{P(A\cap B)}{P(A)}[/tex]

In this problem, we are told that

[tex]P(A|B)=P(B|A)[/tex]

Which means that:

[tex]\frac{P(A\cap B)}{P(B)}=\frac{P(A\cap B)}{P(A)}[/tex]

Simplifying, we get:

[tex]P(A)=P(B)[/tex]

which means that A and B are equally likely.


Related Questions

list three features of a tropical biome

Answers

Answer:

three features of the tropical forest biome.

- plenty of fauna and flora

- weather conditions include high amount of rain

- rare tribal groups live there

Answer: very high annual rainfall, high average temperatures, and nutrient-poor soil.

Explanation: The tropical rainforest biome actually has 4 main characteristics, and tue word rainforest implies that these are some of the worlds wettest ecosystems. I would suggest getting help from a teacher if you are struggling in this lesson....i wish the nest of luck to you and god bless...

What effect does Earth’s spherical shape have on the amount of sunlight that reaches the equator?
A.
The latitudes near the equator receive direct sunlight, which causes a high-pressure system.
B.
The latitudes near the equator receive indirect sunlight, which causes a low-pressure system.
C.
The latitudes near the equator receive direct sunlight, which causes a low-pressure system.
D.
The latitudes near the equator receive indirect sunlight, which causes a high-pressure system.

Answers

C. The latitudes near the equator receive direct sunlight, which causes a low-pressure system.

Explanation:

The spherical shape of Earth has very big influence on the climatic conditions on it. The sunlight is falling at different angles at different places, the air pressure is different, the wind belts are influenced by it, the temperature variations are very large etc.

Near the equator, for example, the sunlight falls at more direct angle. This means that the sunlight is more concentrated, so the surface receives more heat. The temperatures are high because of this all year round, and the air pressure is mostly low, as the warm air is more dispersed and weighs less, and the high evaporation means lot of water vapor which lowers the weight of the air even more.

Final answer:

The Earth's spherical shape affects the amount of sunlight that reaches the equator by creating a high-pressure system due to direct sunlight. This has significant impacts on Earth's climate zones and weather patterns.

Explanation:

The Earth's spherical shape affects the amount of sunlight that reaches the equator in the following way: the latitudes near the equator receive direct sunlight, which causes a high-pressure system. The direct sunlight at the equator warms the air, causing it to rise and creating an area of low pressure. This atmospheric circulation pattern, known as the Hadley cell, is fueled by the intense solar radiation at the equator and plays a key role in the formation of Earth's climate zones and weather patterns.

_____steps, or essentials, of interpersonal conversation according to the video lecture.
a.
b.
7
4
c.
5​

Answers

I believe that the answer is 7

Which actions can be taken to plan for a drought? Check all that apply.
Replace low-water plants with grass.
Pour excess water down the drain.
Repair leaky bathroom faucets.
Take longer showers.
Turn off water while brushing teeth.

Answers

Answer:

repair leaky bathroom faucets and turn off water while brushing teeth

Explanation:

took the assignment.may be missing part of answer but i doubt it ‍♀️

Answer:

Repair leaky bathroom faucets and Turn off water while brushing teeth

Explanation:

I did the activity.

Match all of the planets and the asteroid belt with their distance from the Sun.

Neptune
Saturn
Mercury
Mars
Earth
asteroids
Venus
Uranus
Jupiter

Answers

Answer: it goes mercury venus, earth,mars,asteroid belt,Jupiter, Saturn , Uranus, Neptune , then Pluto hope this helps

Explanation:

Which is the easternmost country of Asia?

Answers

Answer:archipelago

Explanation: archipelago

The easternmost country of Asia is Kiribati. Kiribati is located near the equator and is divided into three island groups: the Gilbert Islands, the Phoenix Islands, and the Line Islands.

Kiribati is an island nation located in the central Pacific Ocean. It is composed of 33 coral atolls and islands, and its easternmost point is the Line Islands group. The Line Islands extend the furthest east in Asia, making Kiribati the easternmost country in the continent.

To illustrate this, the Line Islands include several atolls, such as Tabuaeran (also known as Fanning Island) and Teraina (also known as Washington Island), which are positioned to the east of the International Date Line. This gives Kiribati the distinction of being the country furthest to the east in Asia. Geographical locations and boundaries can sometimes be subject to interpretation or change due to factors like tectonic plate movements or political agreements. However, as of the current understanding of geography, Kiribati is widely recognized as the easternmost country of Asia.

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All of the following duties are responsibilities of county government officials except __________.
A.
administering local, state, and federal elections
B.
regulating public service corporations
C.
maintaining rural roads and highways
D.
recording vital statistics, such as births and marriages

Answers

Answer:

b

Explanation:

due to it being public

Answer:

B

Explanation:

Eutrophication is the result of
A. greenhouse gases
B. fertilizer runoff
C. excessive nitrogen fixation
D. organic matter decay

Answers

Answer:

the answer is fertilizer runoff  

Explanation: trust me :)

Answer:B

Explanation:

What was Earth like during the Hadean?
1.Impacts and radioactive decay caused Earth to be so hot that it had a magma ocean Iron and nickel melted and sank within Earth while buoyant rats of crustal rocks solicited at the surface
2.Impacts and radioactive decay caused Earth to be so hot that it had a magma ocean Iron and nickel melted and sank within Earth, while crustal rocks melted and sank to just below the surface of the magma
ocean
3.Impacts and radioactive decay caused Earth to be so hot that it had a magma ocean. Solid iron and nickel sank within Earth while buoyant ratts of crustal rocks solidified at the surface
4.Impacts and radioactive decay caused Earth to be so hot that it had a magma ocean Iron and nickel melted and buoyantly rested on top of the magma ocean along with the crustal rocks
5.Impacts and radioactive decay caused Earth to be so hot that it had a magma ocean. This ocean was so hot that all of Earth's materials melted and homogenied before Earth cooled

Answers

Answer:

1 is true

Explanation:

Liquid iron and nickel would be heavy and sink, they later formed earths core while the crustal rocks became the surface.

Tell me the correct answer

Answers

Answer: G

Explanation:the spectral class k for super giants is not only brighter than the sun, but has a temp lower than 4,000K

Through an understanding of how natural forces affect the environment, what can Earth scientists do? Choose the correct answer.


change human nature

prevent natural disasters

change the course of history

better predict natural disasters

Answers

Answer:

The second option

Please mark brainliest

prevent natural disaster is the answer

Hope this helps :)

The __of an ecosystem is based on whether the population in the
system destroys the natural resources of that system.​

Answers

Answer: sustainability

Explanation:

The sustainability of an ecosystem is based on whether the population in the system destroys the natural resources of that system.​

What does the ecosystem mean?

The ecosystem is a geographical area where plants, animals, other living things, weather, and landscapes work together to form bubbles of life. Ecosystems contain biological or living parts and abiotic or non-living parts. Biological factors include plants, animals, and other organisms. Ecosystems are made up of all living things and the physical environment in which they interact.

These biological and abiotic elements are linked by the nutrient cycle and the flow of energy. Energy enters the system by photosynthesis and is incorporated into plant tissue. As a society, we rely on healthy ecosystems for many things. Clean the air for proper breathing, isolate carbon for climate control, circulate nutrients to access clean drinking water without expensive infrastructure, and pollinate plants to avoid hunger. increase.

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Which words or phrases identify the types of temperate marine climates? Check all that apply. arid humid tropical marine west coast Mediterranean semiarid tropical wet-dry

Answers

Answer:

marine west coast

Mediterranean

Explanation:

There are three main phrases used to identified with temperate marine climates which are:

Humid subtropicalMarine west coastMediterranean

The temperate marine climates are usually typified by prominent lack of dry season due to the spread of precipitation round the year.

The koppen's system of classification captures this climatic region. It is prominent to mid latitude regions close to coast.

Answer:

humid continental

marine west coast

Mediterranean

subarctic

Explanation:

PLEASE ANSWER QUICK
The death rate decreased after the 1950s because
1. medical care
2. the climate
3. political situations
improved in several nations.
1. wars
2. infant mortality
3. food production
also began dropping dramatically.​

Answers

Answer:

1. medical care

3. political situations improved in several nations

Explanation:

I believe these two answer are the correct ones, because when the war (WWI) in America was over, many politics and the president were more focused on the well being of it citizens. They passed laws and improved social security for citizens which means medical care for the disable, poor, orphans, and the elderly.

Hoped this helped. :)

Final answer:

The decline in death rates after the 1950s can be credited to advancements in medical care, including vaccinations and antibiotics, significant improvements in food production, and enhanced public health infrastructure, leading to better hygiene and sanitation.

Explanation:

The decrease in death rates after the 1950s can be attributed to several advancements. Firstly, improvements in medical care played a crucial role. The introduction of vaccinations and antibiotics prevented and cured many infectious diseases, respectively, saving countless lives. Secondly, advancements in food production methods during the Green Revolution led to an increased food supply, reducing death rates due to malnutrition or starvation. Lastly, enhancements in public health infrastructure, such as better water supplies and sewage systems, vastly improved overall public health and hygiene, contributing to lower death rates.

The impact of these factors was so profound that by 1965, the death rate among developed nations had reduced to about one-quarter of its 1800 level. Similarly dramatic declines in death rates were observed in developing nations, though birth rates remained relatively unchanged there, resulting in higher population growth rates. Technological advancements from the Industrial Revolution also bolstered the improvements in food distribution and public health.

What sea lies along the eastern coast of Greece? I​

Answers

Answer:

Aegean Sea.

Explanation:

Ancient Greece had the Mediterranean Sea to the west, and the Aegean Sea to the west.

Where is Saint Sebastian?

Answers

Answer:

In spain,

Explanation:

Final answer:

Saint Sebastian refers to artistic depictions of the Christian martyr, with a notable painting by Andrea Mantegna located in the Kunsthistorisches Museum in Vienna, and murals found in a chapel in Lanslevillard, France.

Explanation:

When asked 'Where is Saint Sebastian?' in the context of art, it likely refers to the various depictions of the Christian martyr through art history. One of the most renowned paintings named Saint Sebastian is by Andrea Mantegna, dating around 1480, which shows the saint impaled by arrows and tied to a Greek column.

This particular painting is housed in the Kunsthistorisches Museum in Vienna. Mantegna, an Italian painter who lived from 1431-1506, was known for his use of antiquities, a masterful command of perspective, and his scenes often contained optical illusions.

Moreover, Saint Sebastian murals can be found in a chapel located in the remote Alpine village of Lanslevillard, part of the Haute-Maurienne region in Savoie, France, where the veneration of St. Sebastian was common due to his association with the plague.

PLEASE HELP ASAP!!!!!! 25 POINTS!!!!!!!!!!!!
Analyze the map below and answer the question that follows.

Image courtesy of NASA

The landform located at number 1 on the map above is __________, and the landform located at number 4 is __________.
A.
Baja California . . . the Yucatan Peninsula
B.
the Yucatan Peninsula . . . Baja California
C.
the Anatolian Peninsula . . . the Yucatan Peninsula
D.
Baja California . . . the Anatolian Peninsula

Answers

It might be C. But I’m not sure
I chose C because most peninsula’s have water surrounding them on 3 side

Match the states and capitals.

1. New York Albany

2. New Jersey Dover

3. Pennsylvania Trenton

4. Delaware Harrisburg

Answers

Answer:

1. New York  -   Albany

2. New Jersey - Trenton

3. Pennsylvania - Harrisburg

4. Delaware - Dover

New York - Albany is one of the following capitals.

2. Trenton, New Jersey

3 Pennsylvania - Harrisburg 

4 Delaware - Dover 

What is Capital Architecture ?

In architecture, the capital (from the Latin caput, or "head") or chapiter constitutes the uppermost member of a column (or a pilaster). It expands the area of the column's supporting surface by acting as a mediator between the column and the weight pressing down on it.

The capital connects the often square abacus and the typically circular shaft of the column, projecting on each side as it rises to support the abacus. The capital might be convex, as in the Doric order, concave, as in the inverted bell of the Corinthian order, or scroll outward, as in the Ionic order.

All capitals in the classical tradition are based on these three primary forms.

Learn more about Capital Architecture , from :

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Is eastern russia considered part if southeast asia?

Answers

Answer: No, False

Explanation:

no that answer is false, it is not considered that

a) how long has coastel erosion been a issue

Answers

Answer:

While coastal erosion affects all regions of the United States, erosion rates and potential impacts are highly localized. Average coastline recession rates of 25 feet per year are not uncommon on some barrier islands in the Southeast, and rates of 50 feet per year have occurred along the Great Lakes

A territory can best be described as __________.

i. A portion of land
ii. A politically organized space
iii. A group of people who are united by common history, culture, and beliefs

A.
i. only
B.
ii. only
C.
i. and iii.
D.
ii. and iii.

Please select the best answer from the choices provided
A
B
C
D

Answers

Answer:

A.

Explanation:

A territory is not defined as a politically organized place even though it might be one. A territory will have people from other groups come and leave and is not defined by the people in the area. A territory is a portion of land.

According to the map, along the Indian Ocean, the climates in Sub-Saharan Africa are mainly
A) desert and short grass prairie.
B) tropical woodland and Mediterranean.
C) wooded savanna and tropical woodland.
D) rainforest and semi-deciduous rainforest.

Answers

Answer: C) Wooded savanna and tropical woodland is the answer

Explanation: Its the south part of the island and its mostly Wooded savanna and tropical woodland

C.
I hope it’s correct
Good luck

What are the features of a hurricane?
a. heavy rain and extreme winds
b. light rain and extreme winds
C. heavy rain and light winds
d heavy rain and cyclonic winds
Please select the best answer from the choices provided
0
eo e
0 0 0

Answers

Answer:

A

Explanation:

Answer:

A
Because the hurricanes are formed by heavy rains and extremes winds

Which of the following is NOT a property of water?

Answers

D is the correct answer

How can humans reduce wind erosion and wave erosion?
A. by preventing farming in the affected areas
B. by spraying the affected areas with fertilizers
C.
by planting more trees in the affected areas
D. by supplying water to farmland​

Answers

Answer:

C. by planting more trees in the affected areas.

Explanation:

The trees serve as wind/wave breakers. They slow the wind/wave down, thereby reducing its effect.

Answer:

C.  by planting more trees in the affected areas

Explanation:

to reduce wind erosion is to keep the wind off the soil surface and keep it off the surface you could cover the soil surface. To cover the soil surface you could plant trees, vegetation, or any other types of plants.

The movement of which layer of Earth drives the motion of the plates on Earth's crust?
uoper mantle
lower mantie
outer core
inner core

Answers

Answer:

upper mantle

Explanation:

mantle convection currents— warm mantle currents drive and carry plates of lithosphere along a like a conveyor belt

What region is MOST impacted by desertification? Kalahari Gobi Rainforests Sahel i have an answer just not sure if it :)

Answers

Answer:

I think the answer is Kalahari Gobi  because in Rainforest it could not be impacted by desertification and in Kalahari Gobi it is impacted by desertification

What is Amazon and what can you compare it to in North America?​

Answers

Answer:

amazon is a river

you can compare it to the missisipi river

Explanation:

The Amazon is a river that can be found in the South of America. This river can be compared to the river Mississippi in the North of America.

The Amazon river is the worlds biggest river when compared by volume. This river is also the second longest river by length in the world.

The Mississippi is the longest river that can be found in North America. This river is situated in the United states.

Read more on https://brainly.com/question/2413899?referrer=searchResults

Can tell me the answer

Answers

Answer:

c

Explanation:

Unit Test
Unit Test Review
Active
2006
N
Adler and Erika solved the same equation using the calculations below.
Adler's Work
Erika's Work
18-2-
NI
OD 100
Which statement is true about their work?
Neither student solved for k correctly because
Only Adler solved fork correctly because the inverse of addition is subtraction.
Only Erika solved fork correctly because the opposite ofis -5.
Mark this and return
Save and Exit​

Answers

Answer:

D.Both Adler and Erika solved for k correctly because either the addition property of equality or the subtraction property of equality can be used to solve for k.

pls mark brainliest

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The triarchic theory of intelligence would label Anna as having ____ intelligence. The cost of 3 gallons of milk is $6.75. What is the cost of 7 gallons of milk? The following transactions were selected from the records of Evergreen Company:July12Sold merchandise to Wally Butler, who paid the $940 purchase with cash. The goods cost Evergreen Company $570.16Sold merchandise to Claudios Chair Company at a selling price of $4,940 on terms 3/10, n/30. The goods cost Evergreen Company $3,470.19Sold merchandise to Ottos Ottomans at a selling price of $2,970 on terms 3/10, n/30. The goods cost Evergreen Company $1,870.23Received cash from Claudios Chair Company for the amount due from Jul-16.31Received cash from Ottos Ottomans for the amount due from July Jul-19.Required:Compute the amount of revenue to be reported for the month ended July 31. (Round your answer to 2 decimal places.) Read the look out! Then complete the sentences. 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Contractionary A construction firm needs to hire a construction superintendent, whose primary responsibilities involve organizing, supervising, and inspecting the work of several subcontractors. It administers a construction-error recognition test, where an applicant enters a room that has been specially constructed to have 10 common and expensive errors and where he/she is asked to record as many problems as he/she can detect. The firm is using a:______.a. concurrent validation.b. predictive validation.c. content validation.d. criterion-related validation. Suppose that Italy and Sweden both produce rye and cheese. Italy's opportunity cost of producing a pound of cheese is 5 bushels of rye while Sweden's opportunity cost of producing a pound of cheese is 10 bushels of rye. By comparing the opportunity cost of producing cheese in the two countries, you can tell that Discuss how personal morals and professional ethics can conflict for a healthcare provider. 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Denial 22 POINTS Star Inc., an engineering firm, has come up with a new technical test to assess the knowledge of interviewees. To assess the validity of the test, it requests that its present employees take the test and match it with their performance in the organization. Which of the following types of validation has Star Inc. used to test the validity of its new technical test?a. Faceb. Contentc. Concurrentd. Predictive