Which statement is true about whether A and B are

independent events?

A and B are independent events because P(AIB) = P(A).

A and B are independent events because P(AIB) = P(B).

A and B are not independent events because P(AIB)

*P(A).

A and B are not independent events because P(AIB)

PIB)

Answers

Answer 1

Answer:

A and B are independent events because P(AIB) = P(A).

Step-by-step explanation:

got it right on edge

Answer 2

The statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).

What is Bayes' theorem?

The conditional probability of an event depending on the occurrence of another event is equal to the likelihood of the second event given the first event multiplied by the probability of the first event, according to Bayes' Theorem.

Suppose that there are two events A and B. Then suppose the conditional probability is:

P(A|B) = probability of occurrence of A given B has already occurred.

P(B|A) = probability of occurrence of B given A has already occurred.

Then, according to Bayes' theorem, we have:

[tex]\rm P(A|B) = \dfrac{P(B|A)P(A)}{P(B)}[/tex]

(assuming the P(B) is not 0)

For two independent events, the intersection of the two events is equal to the product of the two events. Therefore,

P(A∩B) = P(A)·P(B)

Similarly, using the chain rule, for independent events, we can write,

P(A|B) = P(A)

P(B|A) = P(B)

Hence, the statement is true about A and B as independent events are that A and B are independent events because P(AIB) = P(A).

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Related Questions

how to find area and circunferencr of a circle ​

Answers

Answer:

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π=3.14).

Step-by-step explanation:

np (: pls mark brainleist

A cone has a radius of 2 centimeters and a height that is 24 cm. Using 3.14 for pi, which of the following can
be used to calculate the volume of the cone?

Answers

Answer:

option 3

Step-by-step explanation:

[tex]volume = \frac{1}{3} \pi r^2 h = \frac{1}{3} \times 3.14 \times 2^2 \times 24[/tex]

An amusement park's owners are considering extending the weeks of the year that it is opened. The owners would like to survey 100 randomly selected families to see whether an extended season would be of interest to those that may visit the amusement park. What is the best way to randomly choose these 100 families

Answers

This is the Step-by-step explanation:

Allow a random number generator to come up with 100 families within a 50 radius of the amusement park.

A random number selector can be used to select 100 families out of the total number of families living within a 50 mile radius of the amusement park.

What is random sampling?

Random sampling refers to the process of randomly selecting a set of samples from a population in random manner without bias.

The ransom sampling of the families in the survey can best be done by numbering all the families within a 50 mile radius of the amusement park. A random number selector can then be used to select 100 families out if the total.

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what is the equation of the line that is parallel to 2x = 1 - 3y and passes through (9,4),

A y= -2/3x+10
B y= 2/3x-2
C y=-3/2x+17/2
D y=3/2x-1/2

Answers

Answer:

A y= -2/3x+10

Step-by-step explanation:

___________

Answer:

A. y=-2/3x+10

Step-by-step explanation:

...........

4/7=x/12 round to the nearest tenth

Answers

Answer:

6.9

Step-by-step explanation:

I will use cross-multiplication for this problem:

[tex]\frac{4}{7} =\frac{x}{12} \\\\7x=48\\\\x=\frac{48}{7} \\\\x=6.857[/tex]

Rounded to tenths:

6.9

help me with this math question it is 4-36=x-180​

Answers

Answer:

4-36 = -32

-32 + 180 = 148

Therefore | x = 148

I hope I helped! :)

Answer:

148

Step-by-step explanation:

=> -32=x-180

=> -32+180=x

=> 148=x

Mark me brainliest :))

4) Chelsea has homework in six subjects.
She is deciding what order to complete
them in

Answers

Answer:

This isn't really a math problem since there aren't many numbers or variables provided to create an equation. So Chelsea can complete her homework in any order of her choice, but I would say that she should complete the homework that's due first before moving onto the more recent homework that was given.

Ty has a $30 gift card. He already bought a $9 book, and wants to buy $3
journals. How many journals can she buy without going over the card's
limit?

Answers

Answer:

ty can buy 7 journals

Step-by-step explanation:

Answer:

7 Journals

Step-by-step explanation:

$30-$9=$21

$21/$3=7

Find the Value of X. Thanks.

Answers

Answer:

x = 90

Step-by-step explanation:

This will add up to 360 degrees in total

90 + 90 + 90 + 90 = 360 therefore x = 90 Hope that helps!

10
25°
Х
find value of
triangles

Answers

Answer:

x = 21.4

Step-by-step explanation:

Reference angle (θ) = 25°

Opposite = 10

Adjacent = x

Apply trigonometric function, TOA:

Tan θ = Opp/Adj

Tan 25 = 10/x

x*Tan 25 = 10

x = 10/Tan 25

x = 21.4450692 ≈ 21.4 (nearest tenth)

Guys I need help, this question is soo hard for me, I can't figure out what's 1+1 I LIKE HAVE NO IDEA

Answers

Answer:

i think its 3

Step-by-step explanation:

Answer:

2  : )

Step-by-step explanation:

1 + 1

step by step -

7 + 03 93 fj OIF - 93 85

9352095 jfdos - 039 = 0395

3209  39329 -- -  93590 u -f = 0ig

0uwgw0330 = - 0 935239 5-f p  '/ 0320 * 930 9 (09)(0 ))

0 ef= 0  -f- -r3- 32 3t

9t88 2- == 9 -3=t=-2t 99t3t 02itejgqht 9h = -0ei r]3ti

egwieg hwg h0f- e0 -g0 e-f9e0392t ehsf - - d hf kj 9999- )-(-0

jegj h- = 0-0 0 )(() -0102

uq93t -t0 u

wej9gt u-=== == --- - == - -- -= = = = -w= g-=g-w-e =

after years of solving

i have come to the conclusion

that the answer

is

2

your welcome.

I NEED HELP WITH GEOMETRY PLEASE HELPPPPPPPPPPPPPPPP

Answers

Answer:

need help too

Step-by-step explanation:

hello please help i’ll give brainliest

Answers

Explanation:

4. 81

5. 11

6. 9

During a single day at radio station WMZH, the probability that a particular song is played is 1/5. What is the probability that this song will be played on exactly 3 days out of 5 days? Round your answer to the nearest thousandth.

Answers

Answer:

the probability that the song should be played on accurately  3 days out of 5 days is 0.051

Step-by-step explanation:

Given that

The probability that a particular song is played is 1 by 5

We need to find out the probability that the song should be played on accurately  3 days out of 5 days

So,

[tex]P(x = 3) = \frac{5!}{3! (5 - 3)!} (\frac{1}{5})^3(1 - \frac{1}{5})^{5-3}[/tex]

= 0.051

Hence, the probability that the song should be played on accurately  3 days out of 5 days is 0.051

The same is considered

Plz answer this question

Answers

You did not post up your question

Which table shows exponential decay?


Sorry can’t get all the graphs but if it’s not one of these then I know it’s the other one

Answers

Answer:

The 1st you show is an expositional decay.

Step-by-step explanation:

If you notice it is a declining power of 2

y = 2**(5-x) which is nonlinear

The 2nd is an arithmetic decline (constant decline) and the 3rd is a geometiric decline (constant ratio).

what is 3,24+3,35-5,36 equal to​

Answers

Answer:

1,23

Step-by-step explanation:

3,24+3,35=6,59

6,59-5,36=1,23

If tan A = 3/4, m < A =

Answers

Answer:

2/1 a

Step-by-step explanation:

45 cm
60 om
What is the length of the hypotenuse?
centimeters?

Answers

Answer:

Answer:

Length of leg of triangle =  

Step-by-step explanation:

We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.

Let us assume the following labeling of the diagram, as attached in the answer area.

The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.

i.e. The sides XY and YZ will be equal.

Let XY = YZ = x cm

It is known that in a right angled triangle, pythagorean theorem holds well.

As per pythagoream theorem:

Putting the values:

So, the length of leg of triangle =

Step-by-step explanation:

75cm
45squared times 60squared then take the square root of that answer

A college entrance exam has a mean of 500. A small liberal arts college has two years of applications, each with 100 prospective students. The college conducts hypothesis tests to determine whether its applicants are significantly better than the general population of applicants. The first year of applicants has a mean of 510, whereas the second year of applicants has a mean of 505. Which sample will produce the largest probability value

Answers

Answer:

cjxbdjd xkdnkdkdns xkdnskzkns xkdnd d d d d d d d. d d dd d d d d. d d d d d d d d d d dd. d d

pls help! fast!! marking brainliest

Answers

Answer:

X=15ft

Step-by-step explanation:

17²-8²=225

[tex] \sqrt{225} [/tex]

=15

need this really quick plz

Answers

Answer:

Let

x=sin-¹u

Sinx=u

let y=tan-¹v

tany=v

Substituting

Sin[x + y]

Applying the sine expansion

Sinxcosy + CosxSiny

Recall x =Sin-¹u

y=tan-¹v

Sin(Sin-¹u)Cos(tan-¹v) +Cos(sin-¹u)Sin(tan-¹v)

Now at this point

Here's what you do

For the first expression

Sin(Sin-¹u)

Let's simplify this

Let P = Sin-¹u

Taking sine of both sides

SinP=u

Draw a Right angled angle for this

Since Sine from SOHCAHTOA is OPP/HYP

Where P is the angle and u is the opposite and 1 is the hypotenuse since u is the same as u/1

substituting Sin-¹u = P

You have

Sin(Sin-¹u) = SinP

and from the triangle you drew

SinP = u

Taking the second express

Cos(tan-¹v)

Let Q=Tan-¹v

taking tan of both sides

tanQ=v

Draw a right angled triangle for this too

Since Tan from SOHCAHTOA is OPP/ADJ

Find the Hypotenuse cos you'll need it

Now Let's do the substitution again

We first said tan-¹v = Q

When we substitute it in Cos(tan-¹v)

We have CosQ

Cos Q from the second right angle triangle you drew is 1/√1+v²

Because CAH is adj/Hyp

So

the first part of the original Express

Which is

Sin(Sin-¹u)Cos(tan-¹v) is now simplified to

u(1/1+).

Let's Move to the second part of the Original Expression

Cos(Sin-¹u)Sin(tan-¹v)

From our first solution

We said Sin-¹u= P

So replacing it here

we have Cos(sin-¹u) = CosP

let's leave the second one for now which is sin(tan-1v) We'll deal with this after the first

so Cos(Sin-¹u) = CosP

we can still use our first Right angle triangle for this because the angle was P.

so Cos P from that triangle will be

CosP= 1-

Now onto the next

Sin(tan-¹v)

From the Second solution of the first we did

we said let Tan-¹v =Q

Substituting this

we have

Sin(tan-¹v) = SinQ

using the second Right angle triangle because its angle is Q

We have

SinQ= v/1+

Answer for second phase Which is

Cos(sin-¹u)Sin(tan-¹v) = 1-(v/1+)

We're done

compiling our answers

The answer to

Sin(Sin-¹u - tan-¹v) = u(1/1+) + [(1-)(v/1+)]

You can still choose to factor out 1/1+ since it appears on both sides

'I'll mark you brainliest IF you get it correct"
PLEASE ANSWER

Answers

Answer:

0.6 feet/hr

Step-by-step explanation:

for each increase of 1 hour in x

there is an increase of 0.6 feet in y

The rate of change is ∆y/∆x

∆y/∆x = 0.6 feet/hr

50.26 to nearest hundredth

Answers

Answer:

it's already in the hundredths place

Step-by-step explanation:

.1 <- tens place

.01<- hundredths place

.001<-thousands place

the transfer of energy that occurs when molecules bump into one another is called...

AND

the transfer of heat from molecule-to-molecule contact is?

(the options are the 3 methods of heat transfer)

Answers

Answer:

1st one Convection 2nd one Conduction

GIVING BRAINIEST IF CORRECT!!
Find the area of the shaded region.

Answers

Area of Shaded triangle as a whole: 136cm^2
Area of Rectangle 1 : 20cm^2
Area of Rectangle 2 : 6cm ^ 2

Area of the shaded region :
136 - (20+6)
136 - (26)
110 cm^2

Answer:

110 cm²

Step-by-step explanation:

17 · 8

136 cm²

4 · 1.5

6 cm²

5 · 4

20 cm²

20 cm² + 6 cm²

26 cm²

136 cm² - 26 cm²

110 cm²

Bella ordered a $6 smoothie. She paid sales tax of 9% and tipped 15% on the original $6. Including tax and tip, how much did Bella pay?

Answers

Answer:

I think the answer is around 24 to 25 dollars.

Bella paid a total amount of $13.49.

What is Percentage?

To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.

We have,

Bella ordered a $6 smoothie.

Sales tax = 9%

So, amount after tax

= 6 + 9% of 6

= $6.54

and, tip= 15%

Amount after tip

= 6 + 0.15 x 6

= $6.9

Thus, Bella paid

= 6.54 + 6.9

= $13.49

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Choose the inequality that represents the following graph.


(Choice A)
A
x < -4x<−4x, is less than, minus, 4

(Choice B)
B
x \leq -4x≤−4x, is less than or equal to, minus, 4

(Choice C)
C
x > -4x>−4x, is greater than, minus, 4

(Choice D)
D
x \geq -4x≥−4

Answers

Answer:

c

my-step explanation:

Khan acadimy

The inequality that represents the following graph is C. x > -4

What is inequality?

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

An inequality is a mathematical statement which compares two values or expressions using a relational operator, such as less than (<), greater than (>), less than or equal to (≤), greater than or equal to (≥), or not equal to (≠). Inequalities are used to show relationships between quantities or to express constraints or conditions.

The inequality that represents the graph;

x > -4x>−4x, is greater than, minus, 4

x > -4

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help me youll get brainlyist if right pls help

Answers

Answer:

The 2nd one.

(2nd one on the top, to the right of YOUR screen)

top right bc the number x is over 15

How do you Solve the equation 0.4(2x+12) = 3(0.2x -2) -4 *

Answers

Answer:

x=16

Step-by-step explanation:

   0.4(2x+12) = 3(0.2x -2) -4

[tex]Or,0.8x+4.8=0.6x+12-4\\Or, 0.8x0.6x=8-4.8\\Or,0.2x=3.2\\Or,x=\frac{3.2}{0.2} \\Ot,x=\frac{32}{2} \\Or,x=16[/tex]

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