if A and B are two events, the probability of occurrence of either A or B is given as :
a) p(A) + p(B)
b) P(AuB)
c) P (AnB)
d) P(A).P(B)​

Answers

Answer 1

Answer:

p(A) + p(B)

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome. The probability of an event happening or another is the sum of the individual probabilities.

As such, if A and B are two events, the probability of occurrence of either A or B is given as

= p(A) + p(B)

where p(A) and p(B) are the probabilities of A happening and B happening respectively.


Related Questions

En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;

Answers

Responder:

1" = 83 ft

10.5" = 83*10.5=871.5 ft

Explicación paso a paso:

Espero que esto te ayude ¡UwU! Saludos, Jaclyn

In August, a grocery store averaged about 620 customers per day. In September, the average number of customers per day at the store was 1075. What was the approximate percent increase in the average number of customers per day from August to September?

255%
73%
70%
59%

Answers

For these types of questions you normally do the new amount - original amount / the original. So 1075-620/620 which gives you 73.39%.

Find the circumference of the circle.
10 cm
The circumference is cm.
(Type an exact answer in terms of t.)

Answers

Answer:

the answer is either one or two answers

62.83 or 31.42

Step-by-step explanation:

This is the formula i used.

C=2πr

Circumference = 2·π·5 ≈ 31.41593 / 2·π·10 ≈ 62.83185

therefore,

t = 31.41593

      or

t = 62.83185

simplify the expression 4x+2-1/2x

Answers

answer 41x

Step-by-step

4x + 5y = 48
Y=3x + 2

Answers

4x + 5(3x+2) = 48
4x + 15x + 10 = 48
19x + 10 = 48
19x = 38
x = 2

y = 3x + 2
y = 3(2) + 2
y = 6 + 2
y = 8

The solution of the given equation is x = 2 and y = 8.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The value of x and y will be calculated as,

4x + 5(3x+2) = 48

4x + 15x + 10 = 48

19x + 10 = 48

19x = 38

x = 2

Calculate the value of y,

y = 3x + 2

y = 3(2) + 2

y = 6 + 2

y = 8

Therefore, the solution of the given equation is x = 2 and y = 8.

To know more about an expression follow

https://brainly.com/question/26310043

#SPJ2

An album sells for $16.00 through an online music service. If the album is 20% off, and sales tax is 8%, what is the total price of the album including tax?
A: $13.95
B: $13.82
C:$12.96
D:$14.69

Answers

Answer:

rupees 14.69

Step-by-step explanation:

rupees 14.69

I hope this answer correct

2(-4y-7)+3=11 solve for y

Answers

Answer:

y = -11/4

Step-by-step explanation:

2 ( -4y - 7) + 3 = 11

-8y - 14 + 3 = 11

-8y - 11 = 11

-8y = 22

y = -11/4

Answer:

12

Step-by-step explanation:

-4 + 12 =7

if Lauren robed (22+34) bread from the bread factory how much bread would she have.

Answers

Answer:

22 + 34 = 56

Step-by-step explanation:

um you just add

Answer:

56 bread

Step-by-step explanation:

22 + 34 = 56

Select the correct answer.
Which function represents a function with zeros at -3,-1, 0, and 6?
A. y= (x-6)(x + 1)(x + 3)
B.y= x(x-3)(x - 1)(x + 6)
C. y= x(x-6)(x + 1)(x + 3)
D. y=(x-3)(x - 1)(x + 6)

Answers

Answer:

C

Step-by-step explanation:

The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.

Given that, a function with zeros at -3,-1, 0, and 6.

What are zeros of a function?

The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.

Now, x=-3⇒x+3, x=-1⇒x+1, x=0 and x=6⇒x-6.

The function is y=x(x-6)(x+3)(x+1).

The function is y=x(x-6)(x+3)(x+1). Therefore, option C is the correct answer.

To learn more about the functions visit:

https://brainly.com/question/12431044.

#SPJ2

Solve the answer for n
4/5 = n/3

Answers

Answer:

2.4

Step-by-step explanation:

4/5 = n/3

Cross multiple

4*3 = n *5

12= 5n

12/5 = 5n/5

n= 2.4

help please!!!!!!!!will give brainliest

Answers

Step-by-step explanation:

The first answer is correct

Answer:

The answer is option A = 5 11/36

Working :

3 8/9 as an improper fraction = 35/9

1 5/12 as an improper fraction =17/12

35/9 + 17/12 = 191/36

=5 11/36

Please mark me brainliest.

Find the average rate of change

Answers

Answer:  The answer to this question would be  -6.

I hope this helped!

Answer:

-6

Step-by-step explanation:

g(-3) - g(0) / -3-0

= [2(-3²) + 10] - (0 + 10) ÷ -3

= (28 - 10) / -3

= -18/3

= -6

A committee of 3 is to be formed from 5 men and 6 women. (a) What is the probability that a random committee is made up of 2 women and 1 man? (b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?

Answers

Answer:

a) 0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.

b) 0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

If the order of the people chosen is important, we use the permutations formula. If the order is not important, we use the combinations formula.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

(a) What is the probability that a random committee is made up of 2 women and 1 man?

Order is not important, so we use the combinations formula.

Desired outcomes:

2 women from a set of 6, and a men from a set of 5. So

[tex]D = C_{6,2}*C_{5,1} = \frac{6!}{2!4!}*\frac{5!}{1!4!} = 15*5 = 75[/tex]

Total outcomes:

3 people from a set of 6 + 5 = 11. So

[tex]T = C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{75}{165} = 0.4545[/tex]

0.4545 = 45.45% probability that a random committee is made up of 2 women and 1 man.

(b) Suppose now that the committee consists of different positions: Chairperson, Vice-Chairperson, and Treasurer. What is the probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man?

Now, the order is important, which means that we use the permutations formula.

Desired outcomes:

2 women from a set of 6, and a men from a set of 5. So

[tex]D = P_{6,2}*P_{5,1} = \frac{6!}{4!}*\frac{5!}{4!} = 30*5 = 150[/tex]

Total outcomes:

3 people from a set of 11. So

[tex]T = P_{11,3} = \frac{11!}{8!} = 990[/tex]

Probability:

[tex]p = \frac{D}{T} = \frac{150}{990} = 0.1515[/tex]

0.1515 = 15.15% probability that the Chairperson and Vice Chairperson are both women and the Treasurer is a man

Can somebody please help me and how do you do this step by step and I need the formula for this please.

Answers

radius of ½ circle = d : 2

= 6in : 2 = 3in

Total area = Rectangle area + ½Circle area + Triangle area

= (w) + ½(π×r²) + (½×b×h)

= (10×6) + ½(π×3²) + (½ × (14-10) × 6)

= 60 + 14.14 + 12 = 86.14in

Answer : 86.14in

See the bold one in line 2 of total area, thats the formula of all shape.


Which of the following conditions create a triangle?

Angles: 45°, 45°, 90°

Angles: 120°, 40°, 30°

Angles: 18°, 84, 98°

Angles: 170°, 2°, 8

Answers

Answer:

45°, 45°, 90°

Step-by-step explanation:

the interior angles in a triangle must be 180° and two of the angles must be greater than our equal to the third

If the area of the rectangle is 35 units squared, where could point “B” be placed?

Answers

Answer:

(2,0) or (2, -4)

Step-by-step explanation:

Hope that helps!

whats the answer (4.5 × 10^4) ÷ (300) =

1.) 1500
2.) 1.5 × 10-2
3.) 150
4.) 1.5 × 10^6​

Answers

Answer:

the answer is 150

.....

Answer:

150

Step-by-step explanation:

(4.5 x 10^4)/300=(4.5 x 10,000)/300=45,000/300=150

Find the slop of the line given y - 1 = -5(x + 19)

Answers

Answer:

m = − 5 is slope

Step-by-step explanation:

Cindy works 4c hours each day from Monday to Friday. She works 7c on Saturday. Cindy does not work on Sunday. Find the number of hours Cindy works in one week in terms of c

Answers

Do you still need help with this

a
Solve. Add, subtract, multiply or divide.
Anosh collects feathers. His father started his collection by giving him 7
feathers. Since then he has collected 28 more feathers. How many feathers does
Anosh have?​

Answers

Answer:

Anosh has 35 feathers.

Step-by-step explanation:

Initially, he had 0 feathers.

His father started his collection by giving him 7 feathers.

After his father gave him, he has 7 feathers.

Since then he has collected 28 more feathers. How many feathers does Anosh have?​

So now, he has 7 + 28 = 35 feathers.

Anosh has 35 feathers.

plis ayudaaaaaa que tenga explicación y respuesta pero ayuda plisssss​

Answers

Answer:

x=30

Step-by-step explanation:

600/20=30

C. How long is 10% of a 24-hour day?​

Answers

Answer:

2.4 hours

Step-by-step explanation:

Answer:

10% OF a 24 hour day is 2.4 hours

Step-by-step explanation:

10x24/100= 2.4

Simplify -12+8+5+(-9)​

Answers

FIRST Remove parentheses.
−12+8+5-9

Simplify -12+8 to -4

-4 + 5 — 9

Simplify
−4 + 5 −4+5 to 1
1 — 9

Simplify

-8 is your answer

Answer:

The answers is -8

Step-by-step explanation:

Remove parentheses.

-12 + 8 + 5 - 9

Add -12 and 8

-4 + 5 -9

Add -4 and 5

1 - 9

Subtract 9 from 1

-8

The answers is -8

Hope this helps

Question 3
1 pts
• A solar panel absorbs 6,771 J of radiant energy, and produces 3,291 ) of
electrical energy. What is it's percent efficiency?
(make sure you multiply x100 to get a % between 0 and 100)

Answers

9514 1404 393

Answer:

  48.6%

Step-by-step explanation:

Efficiency of energy conversion is the quotient of output energy and input energy.

  (3291 J)/(6771 J) × 100% ≈ 48.6%

The solar panel's conversion efficiency is about 48.6%.

_____

Additional comment

With current (2021) technology, the best efficiency one can expect from a solar panel is in the neighborhood of 23%.

expression equivalent to 3(7x + 9)

Answers

Answer:

21x + 27

Step-by-step explanation:

3(7x + 9)

21x+27is your answer

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $10,740. How many more T-shirts, x, does Carlene need to sell to reach her goal?

Select the number line that includes the fewest number of T-shirts Carlene can sell and still meet her goal.

Answers

*T-shirt=‘’X’’ for solving equations*

1. $20.50X + $900= $10,740
2. Subtract $900 to both side
3. $20.50X= $9,840
4. Divided $20.50 to both side
5. X=480

Answer: Carlene need 480 more T-shirts to sell to reach her goal.


Check answer:

1. X=480
2. $20.50(480) +$900=$10,740
3. $20.50(480)=$9,840
4. $9,840 + $900= $10,740
5. $10,740=$10,740( check, so it’s percent correct)

How many
liters of paint needed to paint a room
that is 96 meter square if 1 liter of
paint covers 5 meter square
5 meter Square meters

Answers

Answer:

19,2 l

Step-by-step explanation:

It's given that the area = 96 [tex]m^{2}[/tex]

// make a proportion

1 liters - 5 [tex]m^{2}[/tex]

x liters - 96 [tex]m^{2}[/tex]

x = 96/5 = 19,2 (l)

Do This
The following details are notes in meters in the field book of a surveyor. Find the area of the fields.​

Answers

Answer:

8900

Step-by-step explanation:

there are 4 triangles and 1 trapezoid in the shape

the area of first triangle

½×40×60

20×60

1200

the area of second triangle

½×(30+60)×60

½×90×60

30×90

2700

the area of third triangle

½×(40+30)×60

½×70×60

30×70

2100

the area of fourth triangle

½×30×30

15×30

450

the area of the trapezoid

½×(30+40)×(30+40)

½×70×70

35×70

2450

the area of the field

1200+2700+2100+450+2450

8900

note: the attached shape is got from the table and the shape is not made to accuracy

LMNP is a rectangle. Find the length of each diagonal. LN=x and MP=2x-9

Answers

Answer:

LN = MP = 9 units

Step-by-step explanation:

In rectangle LMNP, LN and MP are diagonals .

Measures of the diagonals of a rectangle are equal.

Therefore,

MP = LN

2x - 9 = x

2x - x = 9

x = 9

LN=x = 9 units

MP=2x-9 = 2*9 - 9 = 18 - 9 = 9 units

Solve 81^x= 27^x + 2

Answers

Answer:

x=6

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases then solve for X.

Hope this helped have a good one.

Other Questions
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