La probabilidad de que julio salga con carla es 0.75 , y la probabilidad de que salga con marisol es de 0.50. Si la probabilidad de que salga con carla o marisol es 0.85; calcular la probabilidad de que salga con ambas a la vez

Answers

Answer 1

La probabilidad de que Julio salga con Marisol y Carla al mismo tiempo es 0.40

What is the addition rule of probability for two events?

For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

[tex]P(A) = 0.75\\[/tex][tex]P(B) = 0.50[/tex][tex]P(A \cup B) = 0.85[/tex]

To find: [tex]P(A \cap B)\\[/tex]

Using the addition rule, we get:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)\\0.85 = 0.75 + 0.50 - P(A \cap B)\\P(A \cap B) = 1.25 - 0.85 = 0.40[/tex]

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40

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Answer 2

The probability that Julio will date Marisol and Carla at the same time is 0.40.

Here, we have, For two events A and B, we have:

Probability that event A or B occurs = Probability that event A occurs + Probability that event B occurs - Probability that both the event A and B occur simultaneously.

This can be written symbolically as:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

Given that;

The probability that Julio goes out with Carla is 0.75, and

the probability that he goes out with Marisol is 0.50.

The probability that he goes out with Carla or Marisol is 0.85

To find:

The probability that he will date both at the same time.

Let we take:

A = event that Julio goes with Carla

B = event that Julio goes with Marisol, then, the given expression is symbolically represented as:

P(A) = 0.75

P(B) = 0.50

P(A∪B)= 0.85

To find: P(A ∩ B)

Using the addition rule, we get:

P(A ∪ B) = P(A) + P(B) - P(A ∩ B)

0.85 = 0.75 + 0.50 - P(A ∩ B)

P(A ∩ B) = 0.40

Thus, the probability that Julio will date Marisol and Carla at the same time is 0.40.

Learn more about probability here:

brainly.com/question/1210781

#SPJ3

complete question:

The probability that Julio dates Carla is 0.75, and the probability that he dates Marisol is 0.50. If the probability that he goes out with carla or marisol is 0.85; Calculate the probability that he will date both at the same time.


Related Questions

3. Because it is so popular, a store owner increases the cost of a toy by $3.49. The new cost of the toy is $9.84.
(a) Write an equation that represents the situation. Use c to represent the original cost of the toy.
(b) Solve the equation using a related equation. Show your work.
(c) What does the solution of the equation represent? plz answer

Answers

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35

Answer:

a) 3.49+c=9.84 (b) 9.84-3.49=6.35 (c) he increased the original price of the toy by adding $6.35. Just like jpforpresident146788 said.

Please please help please help me please please help me

Answers

It’s 1+1 so it it 99

Answer:

y = -6/7x - 10/7

Step-by-step explanation:

(-4,2) and (3,-4)

Slope: - 6/7

Take any point: (-4,2)

y-intercept: 2 - (- 6/7)(-4) = -10/7

For every $100 Oliver gets paid, Oliver donates $25 to charity. How much will he have donated if he
earns $2,000?

Answers

Answer:

$500 donated to charity

Step-by-step explanation:

2,000 times 0.25 is 500

Answer:

$1500

Step-by-step explanation:

Oliver gives 1/4 of the amount he gets paid to charity therefore

2000/4= 500  (this is 1/4 of the amount he gets paid)

2000-500=$1500

He is left with $1500

if I move up 8 and then move down 8 where am I located?​

Answers

Answer:

you are back in your place.

Step-by-step explanation:

The recursive algorithm given below can be used to compute gcd(a, b) where a and b are non-negative integer, not both zero. procedure gcd(a, b) if a > b then gcd(a, b) := gcd(b, a) else if a = 0 then gcd(a, b) := b else if a = 1 then gcd(a, b) := 1 else if a and b are even then gcd(a, b) := 2gcd(a/2, b/2) else if a is odd and b is even then gcd(a, b) := gcd(a, b/2) else gcd(a, b) := gcd(a, b − a) Use this algorithm to compute (a) gcd(124, 244) (b) gcd(4424, 2111).

Answers

Coding the given algorithm in python 3, the greatest common divisor of the values (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation goes thus :

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

A sample run if the program on the values given :

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

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brief statement Bosnian Crisis.

Answers

Answer:

The Bosnian war and genocide resulted in close to 100,000 civilians killed, over 2 million people forcibly displaced, and between 20,000-50,000 women systematically raped. ... Over 7,000 Bosnian Muslim prisoners captured in the area around Srebrenica were summarily executed from 13 July to 19 July 1995.

Step-by-step explanation:

hope this helps

help pls I'll give briliantest and give I 10 points please I need helpppp​

Answers

Answer:

P=-120

Step-by-step explanation:

This might be higher level than I am since I am still a student but p=-120i know that

I NEED HELP PLSSSSSS

Answers

Answer:

130 is the answer I Think

the answer is 103 or 130 degrees

What is the equation of the line in slop-intercept form?



Enter your answer in the blank spots




y= __x + __

Answers

Answer:

y=2x +5

Step-by-step explanation:

so 2 goes in the first blank and 5 goes in the second

Hope this helps!❆

WARM UP ACTIVITY (5 MIN) Ms. Chantel's car can go 228 miles on 6 gallons of gas. During a drive last week Ms. Chantel used 7 gallons of gas. a.) How far did she drive? b).Explain how the problem changes if you were given the distance Ms. Chantel drove last week instead of how much gas she used.

How does the problem change????​

Answers

Answer:

a. 266

b. if you were given the distance you can just do, the distance divided by 38

Step-by-step explanation:

A. 228/6=38

228+38=266

Can someone answer this correctly for my sister please​

Answers

Answer:

12) A ( 9, 11, 13, 15)

13) A ( o , a)

14) A  (b ∈ ( a, b, c, d, e, f))

15) C ( -364)

16) D (-1°C)

17) B (Negative)

18) C (26 feet)

19) B (7)

Step-by-step explanation:

12) All of these are odd numbers greater than 7

13) These are the only vowels in "MONDAY"

14) Point B cannot belong in a set that already has B

15) -9876 + 9512 = -364

16) 4 - 5 = -1

17) ex: -2 + (-2) = -4

18) -20 + 12 - 18 = -26

19) 3(5) + 4(-2) = 15 - 8 = 7

-Chetan K

the number of students in a chess club decreased from 37 to 19. What is the percent decrease? Round your answer to the nearest percent. The percent decrease is %.

Answers

Answer:

You should be able to get your answer by

Step-by-step explanation:

For example let's sayAbout 33%. You divide 12 by 18 and get 0.6666666 and it goes on. So, rounded to the nearest percent, it is 67%. Then, you subtract it from 100 and get 33%. So the percent decrease is 33%.

Hope this helps

What is equivalent to 6 + 3 x 9 - 4

Answers

Answer:

29

Step-by-step explanation:

6 + 3 x 9 - 4

6 + 27 - 4

33 - 4

=29

An aircraft factory manufactures airplane engines. The unit C(the cost in dollars to make each airplane engine) depends on the number of engines made. If x engines are made , then the unit cost is given by the function C (x) = 0.9x^2-306x+34,590. What is the minimum unit cost?

Answers

34,590 because even if 0 engines are made, then 34,590 is still expected as a base price

Using the diagram of a regular hexagon, fill in the blanks for the steps to solve for the area of a hexagon with sides equal to 16 cm.

(1) How many equilateral triangles are there? _____

(2) What is the measure of each of the three angles in the equilateral triangle? _____

(3) If we cut an equilateral triangle down the middle (segment a), what special right triangle do you create? _____

(4) What is the vocabulary word for the segment a? _____

(5) What is the length of the short side of one of the 30-60-90 triangles? _____

(6) What is the length of the hypotenuse of one of the 30-60-90 triangles? _____

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg of one of the 30-60-90 triangles. _____

(8) What is the height of one of the the equilateral triangles? _____

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. _____

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _____

Answers

Answer:

(1) How many equilateral triangles are there? ___6__

(2) What is the measure of each of the three angles in the equilateral triangle? __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²_

Step-by-step explanation:

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

What is Hexagone?

In geometry, a hexagon can be defined as a polygon with six sides. The two-dimensional shape has 6 sides, 6 vertices and 6 angles

The answers of all the fill in the blanks are given below:

(1) How many equilateral triangles are there ___6__

(2) What is the measure of each of the three angles in the equilateral triangle __60°_

(3) If we cut an equilateral triangle down the middle (green line), what special right triangle do you create? _30-60-90_

(4) What is the vocabulary word for the green line? _Perpendicular bisector_

(5) What is the length of the short side of one 30-60-90 triangle? __4_cm_

(6) What is the length of the hypotenuse of one 30-60-90 triangle? __8 cm

(7) Using the properties of 30-60-90 triangles, calculate the length of the long leg. _4√3_cm

(8) What is the height of the equilateral triangle?  _4√3_cm

(9) Apply the formula for the area of a triangle to find the area of one equilateral triangle. ½(8)(4√3) = 16√3 cm²

(10) Calculate the area of the complete hexagon by multiplying the area of one equilateral triangle by the number of triangles. _8(16√3) = 128√3 cm²

To know more about Hexagone follow

https://brainly.com/question/1615720

What is his error? Try to describe the picture. (Pls help I need 4 pages due tomorrow)

Answers

Answer:

Ben's error is that he thought both pizzas were the same size, well what was left and in the beginning.

Step-by-step explanation:

Even if both 1/4 is left, that doesn't mean you started with the same amount.  Also, both 1/4 pieces are different shapes and sizes, making him wrong.

Hope this helped!! :)

5
which ratio is greater than 5/8
12/24
3/4
15/24
4/12

Answers

Answer:(B)

Explanation: 3/4. Hope this helped :)

sunny earns $12 per hour delivering cakes. She worked for x hours this week. Unfortunately, she was charged $15 for a late delivery on Tuesday ?

Answers

Answer:

12x-15 dollars

Step-by-step explanation:

She worked for x hours, and earned $12 for every hour. This would be 12x. Then, she got charged $15 dollars, so -15. It would then be 12x-15 dollars.

Do the following tasks by the help of STATA software. You need to devote first 30 minutes of your time for these tasks.
a) Use auto.dta which is an example dataset for this question.
The study claims that average price of foreign cars is more than average price of domestic cars. Check validity of this claim by using dataset. Explain and mention all steps that are necessary for decision. (4 points)
b) Use nlsw88.dta. Find the standard deviation, the mean and the number of observation of age variable (age) for the people who work less than 32 hours (hours variable) or wage is greater than 10. (4 points)
c) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. Find the standard deviation, the mean and the number of observation of safewater variable (safewater) for the countries with GNP variable (gnppc) greater than 5000 and life expectancy (lexp) is greater than 55. (4 points)
d) Open example datasets that we have in the memory of STATA and choose “lifeexp.dta”. We have 6 different variables in this dataset. Which variable has string values? Which STATA command is used in order to find the string values in dataset? What are the effects of large amount of string values in dataset?

Answers

No organise the STAT for the messages to be able to send

Solve the following of:

11/15 × 7/8 ÷ 3/4​

Answers

Answer:

Well following the order of operations

You just do this from left to right

11/15* 7/8 = 77/120

77/120 ÷ 3/4

or

77/120 * 4/3

77/90 (simplified)

77/90 is the answer

Ahmad bought 11 pounds of sugar for $6.
How many dollars did he pay per pound of sugar?

Answers

66 dollars 11x6= 66 dollars

Amelia and her children went into a grocery store and she bought $10 worth of apples and bananas. Each apple costs $1 and each banana costs $0.50. She bought a total of 12 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Amelia bought.

Answers

Answer:

8 apples

4 bananas

Step-by-step explanation:

8 apples (8$)

4 bananas (4$)

12 total

10 $ total

hope it helps

6=2(y+2) what is the value of y in the equation

Answers

Answer: the value of y is 1

Step-by-step explanation: 6=2 x 1+2

How many eggs are 5dozens

Answers

Answer:

60

Step-by-step explanation:

1 dozen=12 eggs. 12 ×5=60

Answer:

60

Step-by-step explanation:

dozen=12

5x12=60

w
[tex]41 \div 646 = [/tex]
[tex]259 \times 55[/tex]
help me with this math pls​

Answers

This is your answer and for the multiplication I gave it to you step by step

y-3=1/2(x-7)

PLS HELP ME OUT GUYS

Answers

Answer:

X = -1

Step-by-step explanation:

y - 3 = 1/2 (x - 7)

x would equal -1.

What is three times a number is increased by 11 ,the result is 32

Answers

Answer:

7

Step-by-step explanation:

let x be the number

3x + 11 = 32

3x = 21............subtract both sides by 11

x = 7................divide both sides by 3

Answer:

Expression-

3×r+11=32

r=7

Step-by-step explanation:

I have run this answer the calculator a million times so trust me on this one

WILL GIVE BRAINLIEST
(5x-7)
(10x-32)
14

the perimeter of the pictured triangle is _____ in.

Answers

By converse of isosceles triangle theorem:

5x - 5 = 10x - 32

add 32 and -5x at both sides

27 = 5x (divide 5 both sides)

x = 5.4

5(5.4) - 5 = 27 - 5 = 22 inches

22 + 22 + 14 = 58 inches

simplify _4x+2y+z_3x+2y_2z ​

Answers

Answer:

maybe 3xz + 4yz + 4x + 2y

Step-by-step explanation:

I tried my best!

Use synthetic division to find the result when 3x^4 – 16x^3 + 29x^2 - 17x - 2 is divided by x – 2​

Answers

Answer:

2

Step-by-step explanation:

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