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

HELP PLEASE QUICKLY ASAP!
You will be rewarded with 20 points!
Please help!

Answers

^^ Read what they said, They are correct!!

1. Anne and Kelly are exploring a desert. Anne leaves camp and walks for 2 miles at 125 degrees. She then turns to a direction of 40 degrees and walks straight for 3 miles. How far and in what directiort will she have to walk to get back to camp?

Answers

arf arf GRRR ARF ARF ARF GRRRR

Someone please help me, write a variable equation to represent the situation, and solve it by using inverse operations.

Three times the difference between a number and six is eighteen.

Answers

Pls be careful when clicking on links they seem unsafe

The altitude on a ski trail drops 2 feet for
every 5 feet of horizontal distance traveled,
The end of the trail has an altitude of
4,000 feet and is a horizontal distance of
2000 feet from the start,
a. Write an equation in point-slope form
that represents this situation, and
graph the equation.

Answers

Answer:

rrrrrehwhwjwmkwwuwiwiiwiwiwiw

Find the volume of the rectangular pyramid please help me guys

Answers

Answer:

160 ft^3

Step-by-step explanation:

The volume formula is the same as a rectangular prism, lwh

So if we plug in the numbers, it'd be 12*4*10

Which equals 160 :))

Answer:

160

Step-by-step explanation:

v = L * W * H / 3

Math help please asap

Answers

a= 0.51
b=1.445 x 10^-2

Answer:

a.) 0.51

b.) 1445

Step-by-step explanation:

a.) 5.1 x 10^-1 can be written as 5.1 x 0.1 which equals 0.51.

b.) 1.7 x 10^4 x 8.5 x 10^-2 can be simplified either by condensing 10^4 and 10^-2 to equal 10^2, or substituting the expression into a calculator.

This should equal 1.7 x 8.5 x 10^2 or 1445.

Another way to write 300 + 70 + 5/10 + 8/100
Pick one:
A) 370.58
B) 370.058
C) 30, 070. 508
D) 30,070. 58

No! links or guessing or lm will report you! :)

Answers

Answer:

A. 370.58

Step-by-step explanation:

Hope that helps

which expression is equivalent to...........

Answers

Answer:

6.5y-11

Step-by-step explanation:

i think that's the answer. if I'm wrong tell me right away good day

A consumer magazine rates televisions by identifying two levels of price, four levels of repair frequency, three levels of features, and three levels of picture quality. How many different ratings are possible?​

Answers

Answer:

72 different ratings

Step-by-step explanation:

To find how many different ratings there are, multiply all the factors together.

2 * 4 * 3 * 3 = x

8 * 9 = x

x = 72

72 different ratings


Which set of values makes the inequality n > -5 true?
А
{-5, -5.5,-6)
B
{-5, -4.5, -3)
Ć
(-6,0,5)
D
{-6, -7,-8}

Answers

Answer:

the answer is c :)

Step-by-step explanation:

A spinner with 20 equal-sized sections has 5 red, 10 blue, 3 green, and 2 yellow sections. Ann pays $10 to spin the spinner. If she spins a yellow, she wins $20; if she spins green, she wins $15; otherwise, she loses.She plays the game twice. What is the expected payoff for her games?

Answers

Answer:

The expected payoff for Ann is that she loses the game

Step-by-step explanation:

The expected payoff for Ann is that she loses the game, this is because only 5 out of the 20 sections allow Ann to win money, this is only 25% of the spinner. Meaning that 75% of the spinner will cause Ann to lose the game. Rolling two times increases the odds that she will lose the game. Since the greatest probability is that Ann will land on a section that causes her to lose the game, then this is the expected payoff.

The cafeteria bought 200 French bread pizzas for lunch next week. If they had bought the pizza last week while it was on sale, it would only have cost $ 2.00 per pizza. Now, 7 days later, the price is $ 3.78 per pizza. How much money could they have saved if they bought the pizza last week?

Answers

Answer:

$356

Step-by-step explanation:

To solve this problem, use this: (200 * 3.78) - (200 * 2)

(200 * 3.78) - (200 * 2)

200 * 3.78 is the same as 2 * 378, which is 756.

756 - (200 * 2)

200 * 2 is the same as 4 * 100, which is 400.

756 - 400

Subtract 400 from 756 to get 356.

356

If they brought the pizza last week, the school could have saved $356.

What is the equation of the line that passes through the point (6,6) and has a slope of 5/3??​

Answers

Answer:

y = 5/3x - 4

Step-by-step explanation:

(6, 6)

m = 5/3

Slope-intercept:

y - y1 = m(x - x1)

y - 6 = 5/3(x - 6)

y - 6 = 5/3x - 10

y = 5/3x - 10 + 6

y = 5/3x - 4

help me plz it’s due rn

Answers

Answer:

x= 8/12 or x = 18/12

Step-by-step explanation:

consider the function f(x)=4x^2+8x-10 and g(x)=5x^2+10x-1

1 function f is a graph whose vertex is_____ the vertex for the graph of function g

a) higher than
b)lower than
c)located at the same axis of symmetry as


2 the vertex for the graph function f is_____ the vertex for the graph of function g

a) 2 units to the right of
b) 2 units to the left of
c) located at the same axis of symmetry as

Answers

Link provided in other answer is a SCAM. Don’t click on it !!!!

Is (2,21) a solution for y=7x? No Yes​

Answers

Answer:

No

Step-by-step explanation:

y=7x

21=7(2)

21=14

It is not since the values are not equal.

Brainliest? :o

No, the pair of coordinates (2,21) is not a solution for the equation; y=7x

Solution of an equation

According to the question;

The pair of coordinates given is (2,21).

Hence, by testing the coordinates in the equation; y=7x, we have;

21 = 7(2)

21 = 14.

Hence, since the equation above is not true, the pair of coordinates is not a solution of the equation.

Read more on solution of an equation;

https://brainly.com/question/1397278

Can someone help me with these true or false questions thank you

Answers

Number 1 is false and number 2 and 3 is true.
Sorry if it’s wrong I’m kinda of learning this too.

Nissan Appliances bought three dozen camcorders at a total cost of $5,040. The markup on the camcorders is 30% of the selling
price. What was the original selling price of each camcorder?
Selling price- HELP DUE IN 10 MINUTES 25 POINTS

Answers

Answer:

(3*12) 36 Camcorders= $5040

1 Camcorder= $5040/36 = $140

Original= $140/1.03= $135.92

A radius of 1 meter. What’s the area. Use 3.14 for pi

Answers

Answer:

A is 3.14

Step-by-step explanation:

. good day.hope it helps

Answer:

Step-by-step explanation:

circumference   =   2 * pi * radius

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

circumference   ≈   2 * 3.14 * 4 m

                                                            Multiply these together.

circumference   ≈   25.1 m

area   =   pi * radius2

                                                            Plug in  4 meters  for radius  and  3.14  for  pi  .

area   ≈   3.14 * (4m)2

                                                            Square the  4m  .

area   ≈   3.14 * 16m2

                                                            Multiply.

area   ≈   50.2 m2

PLEADE HELP I WILL MARK YOU AS BRAINEIST

Answers

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

PLEASE HELP!!




13. Every Friday, milkshakes are on sale at The Ice Cream Shoppe with a 15% discount.

13a) The regular price of a milk shake is $4. What is the discount price?

13b) If the regular price of a shake is X dollars, what is the discount price in dollars?

13c) On your birthday, the discount price of an ice cream cake is $22. What is the regular price?

(*I really need help on this T^T*)

Answers

Answer:

13a) $3.40

13b) 0.85X

13c) $25.88

Step-by-step explanation:

13a) When there is a 15% discount, we can say that we are only paying 85% of the original price because out of 100%, 15% is taken away. 85% in decimals is 85/100 = 0.85.

$4 x 0.85 is the discounted price, which is $3.40

13b) In 13a, the price was 4. Now, the price is X. Hence we plug in (substitute) X in for 4, giving us X x 0.85, which we can write as 0.85X

13c) 85% of the cake is $22. To find 100% of the price, we can find 1% of the original price and then multiply that by 100, which gives us 100% of the price.

We know 85% of the original price. Therefore, dividng the price by 85 will give us 1% of the price. 1% = $22/85

Finally, to calculate 100%, we multiply by 100.

22/88 x 100 = 440/17 which is 25.882 in decimals, which we round to 2 decimal places (because it is currency) = $25.88

Nancy watches her dad fix a broken chair with a nail and a hammer, but she finds the hammering sound too loud. So, she decides to go back to her room, which is next door. On entering her room, she finds the hammering does not sound as loud. Why does the sound become faint?

Answers

Answer:

The sound of hammering becomes fainter as Nancy goes into her room because some of the sound waves are absorbed by the walls. Only part of the sound waves coming from the other room comes into her room, so the hammering sounds quieter.

I hope this helps. Good luck ^^

Giving brainliest for the correct answer

Answers

Answer:

72 is the surface area

SA=2lw+2lh+2hw

l=6

w=3

h=2

PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)

Answers

Answer:

1. B.

2. A, E.

3. D.

Step-by-step explanation:

1. 8.225 ÷ 5 = 1.645

2. 892 ÷ 8 = 111.5

8920 ÷ 80 = 111.5

894 ÷ 10 = 89.4

89.2 ÷ 0.08 = 1115

8.92 ÷ 0.8 = 11.15

0.892 ÷ 0.008 = 111.5

3. 4367 ÷ 0.004 = 1,091,750

X/3 + 4<6 pls help will mark branliest

Answers

Answer:

x < 6

Step-by-step explanation:

[tex]\frac{x}{3}+4 < 6[/tex]

Subtract 4 form both sides

[tex]\frac{x}{3}<6-4\\\\\frac{x}{3}<2[/tex]

Multiply both sides by 3

[tex]x < 2*3\\\\x < 6[/tex]

Answer:

X = 5.9- meaning 5.9 or anything under that or lets just say 5 because 5/3 = 1.6 + 4 = 5.6

Step-by-step explanation:

Have a nice day

sorry if its wrong

a football team gains 9 1/2 yards on their first play then lose 10 yards for a penalty they lose 5 yards and then gain 7 yards on the next two plays what is the teams overall gain or loss and did rhey make a first down (10+ yards)?

Answers

Answer: No

Step-by-step explanation: Because if the team lost 10 yards from 9 1/2 then they would be negative yards if they lose 5 yards they will have 5 1/2 and if they gain 7 yards their total will be 1.5 so they never made it to 10+ yards.

7 + 3 (2x - 5) = 3x + 7

Answers

X=5 because this same question was in my test and I got it right

Answer:

x = 5

Step-by-step explanation:

Given

7 + 3(2x - 5) = 3x + 7 ← distribute parenthesis and simplify left side

7 + 6x - 15 = 3x + 7

6x - 8 = 3x + 7 ( subtract 3x from both sides )

3x - 8 = 7 ( add 8 to both sides )

3x = 15 ( divide both sides by 3 )

x = 5

What is the equation of the circle?

Answers

Answer:

x² + y² = 3

Step-by-step explanation:

The equation of a circle centred at the origin is

x² + y² = r² ( where r is the radius )

Using Pythagoras' identity in right triangle CRT

CR² = 1² + ([tex]\sqrt{2}[/tex] )² = 1 + 2 = 3 ( take the square root of both sides )

CR = r = [tex]\sqrt{3}[/tex] , then

x² + y² = ([tex]\sqrt{3}[/tex] )² , that is

x² + y² = 3

Someone please help!!!

Answers

42yd is your answer

Answer:

area of shaded region =area of (square -circle)

=l²-π(d/2)²

=14²π(14/2)²=196-49π=42.061=42yd

Someone please help with all this. Show working out as well! Will mark as brainliest.
Thanks

Answers

9514 1404 393

Answer:

  a) k = -19

  b) P(x) = (5x +1)(3x -1)(2x -1)

  c) x = {-1/5, 1/3, 1/2}

  d) see attached

  e) no; P(-1) = -48

  f) see attached

Step-by-step explanation:

a) The second attachment shows synthetic division of P(x) by the factor (x -1/3). The remainder is 0 when the final expression is zero:

  1 + (10 +k)/9 = 0

  (10 +k)/9 = -1 . . . . . subtract 1

  10 +k = -9 . . . . . . . .multiply by 9

  k = -19 . . . . . . . . . . subtract 10

For (3x -1) to be a factor, the value of k is -19.

__

b) The graph (see part C) shows the zeros of the function to be -0.2, 0.333..., and 0.5. This means the linear factors are ...

  P(x) = (5x +1)(3x -1)(2x -1)

The linear factors can also be obtained by finishing the factoring of ...

  P(x) = (3x -1)(10x^2 -3x -1)

The quadratic factor is the synthetic division result, divided by 3. It can be factored by grouping: 10x^2 -3x -1 = (10x^2 -5x) +(2x -1) = 5x(2x -1) +1(2x -1).

So P(x) = (3x -1)(5x +1)(2x -1).

__

c) The graph shows the zeros to be x ∈ {-1/5, 1/3, 1/2}.

__

d) See the attachment for a graph

__

e) The point (-1, -40) is not on the graph. Evaluating P(-1) gives -48. The point that would be on the graph for x=-1 is (-1, -48).

__

f) See the attachment.

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