PLEASE HELP
Which of the following are true if event A and B are independent

PLEASE HELP Which Of The Following Are True If Event A And B Are Independent

Answers

Answer 1

Answer:

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

Step-by-step explanation:

Step(i):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

we will use the conditional probability

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

                     or

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

Step(ii):-

Given that A and B are independent events

P(A∩B) =P(A) P(B)

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

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

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


Related Questions

Pls help now!!!!!!!!

Answers

Nankanskanwwiwkkw (points )
well i found 201.06 so i think A is the closest because it’s only off by a little bit (200.96)

x-y=4

What is the slope and Y Intercept?​

Answers

Answer: m is the slope and b is the y-intercept.

Step-by-step explanation:

it is understandable that the x has a coefficient of 1, so the m is 1 . and the y-intercept( b ) is −4 .

Slope is 1 and y intercept is 4

please help i’ll give brainliest

Answers

Answer:

decomposer

Step-by-step explanation:

guys, please help me!!!!!! I'll give you brainly and a ton of points!

Answers

Answer:

31

Step-by-step explanation:

62 / 2 = 31

Answer:

31

Step-by-step explanation:

angle is half of arc

Hey! Can someone help me?

Answers

Answer:

C) 180

Step-by-step explanation:

y = 105 (because of alternate interior angles)

105 + x = 180

x = 75

x + y

105 + 75

180

Round 287.32 to whole number

Answers

Answer: 287

ksjfhfjkskkdjffj

Answer:

287

Step-by-step explanation:

since we are rounding to a whole number, the number would be depending on .3

3 is less than 5 so round down

287

Which best represent the simplified relative frequency of winning 9 out 15 games?

A. 3/5
B. 5/3
C. 9/15
D. 15/9

Answers

Answer:

i think the answer is A

Step-by-step explanation:

9/15 simplified is 3/5

Answer:

best represent the simplified relative frequency of winning 9 out 15 games:9/15=3/5

44⁷×55+76÷79+80
i am can't solve this question​

Answers

Step-by-step explanation:

Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.

So, 48+24=72

So, the missing cumulative frequency is . 72

Answer:

the missing cumulative frequency is . 72

Step-by-step explanation:

HELPP ILL GIVE BRAINLESS
Which inequality represents all values of x for which the quotient below is
defined?
VX+1 + 33 -
A. XS3
B. -1 sx<3
C. -1 sxs3
D. X2-1

Answers

Answer:

Step-by-step explanation:It's c bestie ,;

Answer:

The answer is C

Step-by-step explanation:

I took the quiz and looked it up just to make sure

La multiplicación (-5)(6) obtenemos como resultado

Answers

Answer:

-30

Step-by-step explanation:

plss help i really need this! i really need serious answer :( ​

Answers

Answer:

1) 4

2) 15/2

3) 75

Step-by-step explanation:

Answer:

BD is midsegment parallel to CEMidsegment is the half the parallel side

1. If BD = 2, then CE = 2*BD = 2*2 = 4

2. If AC = 15, the AB = 1.2*15 = 7.5

3. If m∠ADB = 75°, then m∠AEC = m∠ADB = 75° as corresponding angles

4. If AE = 6x + 8 and BD = 18, then x is:

this is confusing, there is no direct relationship between these two segments

5. If BD = x + 1 and CE = x + 10 then:

2(x + 1) = x + 10 ⇒ 2x + 2 = x + 10 ⇒ x = 8

What's 3(5x + 4) (I’m on a time limit

Answers

Answer:

15x + 12

Step-by-step explanation:

3(5x + 4)

15x + 12

3 · 5x = 15x

3 · 4 = 12

Combine them:

15x + 12

Answer:

3(5x + 4)

15x + 12

3 · 5x = 15x

3 · 4 = 12

15x + 12

5x^2 + 19x + 12=0
how do i figure this out

Answers

Answer:

x=−4/5 or x=−3

Step-by-step explanation:

Step 1: Factor left side of equation.

(5x+4)(x+3)=0

Step 2: Set factors equal to 0.

5x+4=0 or x+3=0

x=−4/5 or x=−3

The volume of a cylinder is 80 cubic centimeters. If the diameter and
height of the cylinder are multiplied by 4/5, what is the volume of the new
cylinder?

Answers

Answer:2 yds and h

Step-by-step explanation:

The volume of the new cylinder will be equal to 40.96 cubic centimeters.

What is the volume of a cylinder?

The amount of space inside a cylinder is its volume. You can find it by dividing the base area by the height.

The formula to calculate the volume of the cylinder is given below:-

V = πr²h

Given that volume of a cylinder is 80 cubic centimeters. The diameter and height of the cylinder is multiplied by 4/5. The new volume will be:-

Vi= πr²h = 80 cubic centimeters.

The new volume will be calculated as:-

Vn= π (4/5r)²(4/5)h

Vn = (64 / 125 )  πr²h

Vn = (64 / 125 ) x Vi

Vn = (64 / 125 ) x 80

Vn = 40.96 cubic centimeters.

Therefore, the volume of the new cylinder will be equal to 40.96 cubic centimeters.

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hii please help i’ll give brainliest

Answers

i think the answer would be 1/2 but i’m not sure if that’s what it’s asking

What is the measure of each angle if x = 13?
A. 42°, 38°
B. 527, 26°
C 429, 269
D. 527, 38°
The measures of two angles are 4x° and (2x + 12) °

Answers

52, 38
hope that helps!! pls mark brainliest ☺️

SOMEONE HELP please!!!! *ill mark brainliest

Answers

Answer:

-12 degrees

Step-by-step explanation:

the graph

30 degrees hope it helps

Which justification can be used to demonstrate the graph is correct?

Answers

The justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.

We have inequality:

[tex]\rm x+3.5 < \dfrac{1}{10}(y-2)^2[/tex]

If plug (0, 0)

0 + 3.5 < 4/10

Which is not true.

Thus, the justification (D) shading is to the left because (0, 0) does not satisfy the inequality option (D) is correct.

Learn more about the inequality here:

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Use the box method to distribute and simplify (-x + 3)(4x + 4). Drag and
drop the terms to the correct locations of the table.

Answers

look at png sorry i need to type 20 characters but the chart explains everything

simplify your answer but adding/subtracting like terms

A rectangle has a length of 5x + 2 ft and a width of 2x + 11 ft.

Write an expression to model the area of the rectangle.

Show work, please!

Answers

Answer:

A = length * width

A = 5 (x+2)

A = 5x+10

I'm SO SORRY

Please help me with this problem and thank you Find the lateral area of this cone leave your answer in terms of pie

Answers

9514 1404 393

Answer:

  260π in²

Step-by-step explanation:

The slant height is the hypotenuse of a right triangle with legs 10 and 24. Using the Pythagorean theorem, we find it to be ...

  l² = 10² +24² = 100 +576 = 676

  l = √676 = 26

The given formula tells you the lateral area is ...

  A = πrl = π(10 in)(26 in)

  A = 260π in² . . . . . cone's lateral area

_____

Additional comment

The name of the constant relating diameter to circumference (π) is "pi". It is the 16th letter of the Greek alphabet. "Pie" is something else entirely.

Answer:

260[tex]\pi in^{2}[/tex]

Step-by-step explanation:

find the area of the rhombus. 19-24
3.6
2.5
7.25in

Answers

Answer:

To answer this question I need the values of the rhombus. like the p and the q.

Step-by-step explanation:

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

Answers

Answer:

10 feet

Step-by-step explanation:

a²+b²+=c²

a=8ft

b=6ft

Help? please do not answer randomly

Answers

Answer:

x = 4.5

Step-by-step explanation:

Given a segment joining the midpoints of 2 sides of a triangle, then

the segment is half the length of the 3rd side, that is

5x = 0.5 × 45 = 22.5 ( divide both sides by 5 )

x = 4.5

Helllllllpppppp ASAP

Answers

answer is b. 105 degrees

explanation:
a straight line is 180 degrees.
35+40=75
180-75=105

Answer:

D.B

Step-by-step explanation

40+35= 75+105= 180

(edited)

Point B(4, 3) is reflected over the y-axis. What are the coordinates of the resulting point, B′?

Answers

Answer: ummm... i think it is.. 3-2

Step-by-step explanation:

Which shape has no parallel sides? (2 points)

Group of answer choices

a quadrilateral with one small square in each of the four corners, and arrows going in the same direction for each of the opposite sides

a quadrilateral with one small square in each of the four corners, and single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides

a quadrilateral with sides of different lengths

a quadrilateral with single arrows going in the same direction for one pair of the opposite sides and double arrows for the other pair of opposite sides

Answers

Answer: a quadrilateral with sides of different lengths.

Parallel sides are marked by arrows (single or double) btw

Option (C) is the correct option.

What is quadrilateral?

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

Learn more about quadrilaterals here

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There are 25 questions in a quiz.
Every correct answer scores 3 points.
Each incorrect answer loses 2 points.
A question not answered scores 0 points.
It is possible to finish the quiz with a negative score.
a) What is the maximum score you could get on the quiz?
b) What is the minimum score you could get on the quiz?
c) A student answers 15 questions.
10 are correct. How many points does he score?
d) Another student answers 21 questions.
6 are correct. How many points does she score?​

Answers

Answers of the quiz are as follows

A. 75

B. -50

C. 20

D. -12

We have been given that -

Number of questions= 25

Correct answers= x and score= 3

Incorrect answers= y and score= -2

Not answered= z and score= 0

We can calculate the score as:

A) What is the maximum score you could get on the quiz?

Maximum score one can get on the quiz if he / she correct all i.e. -

25 × 3 = 75.

B)  What is the minimum score you could get on the quiz?

Minimum score one can get on the quiz if he / she correct all i.e. -

25 ×-2 = -50.

C)  A student answers 15 questions.10 are correct. How many points does he score?

Scored points = (10 × 3) + (5 × -2)

= 30 -10

=20 points

D) Another student answers 21 questions. 6 are correct. How many points does she score?

= 6 × 3 + (15 × -2)

= 18-30

= - 12 points

Hence, the answer are a- 75 , b- -50 , c - 20, d- -12.

To learn more about Numbers

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how do you solve:
f(x) = x^2 - 6x + 8

I need to understand how to solve this so please show work, thank you!

Answers

Answer:

Hopes this SS Helps you

Step-by-step explanation:

XOXO

KIT

Answer:

x = 2, x = 4

Step-by-step explanation:

Begin by letting f(x) = 0 , that is

x² - 6x + 8 = 0

Consider the factors of the constant term (+ 8) which sum to give the coefficient of the x- term (- 6)

The factors are - 2 and - 4 , since

- 2 × - 4 = + 8 and - 2 - 4 = - 6 , then

(x - 2)(x - 4) = 0

Equate each factor to zero and solve for x

x - 2 = 0 ⇒ x = 2

x - 4 = 0 ⇒ x = 4


The hypotenuse of a right triangle is 10 inches long. The longer leg is 2 inches longer than the shorter leg. Find the side lengths of the triangle.

Answers

Answer: Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

Step-by-step explanation:

Let the shorter leg bw represented by x.

Therefore, the longer leg will be x+2.

The hypothenuse is 10inches

We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:

x² + (x+2)² = 10²

x² + x² + 4x + 4 = 100

2x² + 4x = 100 - 4

2x² + 4x = 96

2x² + 4x - 96 = 0

x² + 2x - 48 = 0

x² + 8x - 6x - 48 = 0

x(x + 8) -6(x + 8) = 0

x - 6 = 0

x = 0+6.

x = 6

Shorter leg = 6 inches

Longer leg = 6+2 = 8 inches

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