En una fiesta hay 40 asistentes de los cuales el número de varones que no bailan es el doble que el número de las mujeres que no bailan en un determinado momento. Si en ese instante se escoge un varón al azar, ¿cuál es la probabilidad que no este bailando si 5 mujeres están bailando?

Answers

Answer 1

Answer:

50%

Step-by-step explanation:

Para resolver este problema vamos a definir 4 variables:

V= número de varones bailando.

M= número de mujeres bailando.

V' = número de varones que no están bailando.

M' = número de mujeres que no están bailando.

Sabemos que hay 40 personas en la fiesta, por lo que podemos construir la siguiente ecuación:

V+M+V'+M'=40

Vamos a suponer que cada mujer que está bailando, está bailando varón respectivamente. (El problema no da más información, entonces podemos suponer esto.)

Entonces si hay 5 mujeres bailando, entonces también hay 5 hombres bailando, por lo que nuestra ecuación se reescribe de la siguiente manera:

5+5+V'+M'=40

y simplificamos:

10+V'+M'=40

V'+M'=40-10

V'+M'=30

Ahora bien, el problem nos dice que el número de varones que no bailan es el doble del número de mujeres que no bailan en un determinado momento. Entonces con esta información podemos construir la siguiente ecuación:

V'=2M'

Y podemos despejar el número de mujeres que no bailan, lo que nos da:

[tex]M'=\frac{V'}{2}[/tex]

Entonces podemos sustituir esto dentro de nuestra ecuación para obtener:

[tex]\frac{V'}{2}+V'=30[/tex]

y podemos entonces despejar V'

[tex]\frac{3V'}{2}=30[/tex]

[tex]V'=\frac{2(30)}{3}[/tex]

V'=20

Entonces hay 20 varones que no están bailando, por lo que la probabilidad de que el varón que se escoge al azar no esté bailando está dada por la siguiente fórmula:

[tex]P=\frac{V'}{total}[/tex]

[tex]P=\frac{20}{40}=\frac{1}{2}[/tex]

P=50%


Related Questions

Recall that two angles are complementary if the sum of their measures is 90°
Find the measures of two complementary angles if one angle is 14º more than three times the other angle.

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I’m I think 79% but I’m probably way off

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Answer: 1.5 + 3 = 1.8

Step-by-step explanation: Add both sides.

Answer:

P = 9 cm

Step-by-step explanation:

The Perimeter of a Rectangle

Given a rectangle of dimensions W and L, the perimeter of the rectangle is:

P = 2W + 2L

Or, equivalently:

P = 2(W + L)

The dimensions of the icon for the mobile app are 1.5 cm and 3 cm, thus:

P = 2(1.5 cm + 3 cm)

P = 2(4.5 cm)

P = 9 cm

Find the value of x that makes m
|| n

Answers

Answer:

X= 15

Step-by-step explanation:

3x - 15 + 150 = 180

X = 15

X=15 bdbdhsbbsbdbdbsbsbbsbsbsbsbsbbsbsbsbsbsbsbbsbsbsbsbsbbsbsbsbsbbsbsbsbsbbsbsbsbsbsbsbsbbsbsbsbsbsbbbs

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Answer:

29

Step-by-step explanation:

An ice cream factory makes 230 quarts of ice cream in 5 hours. What is the constant of proportionality?
A:41
B:46
C:225
D45

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Answer:

C

Step-by-step explanation:

6th grade math i mark as brainliest​

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Answer:

3x5 are factors of 75

Step-by-step explanation:

good day mate

Answer:So, the prime factors of 75 are written as 3 × 5 × 5 or 3 x 5^2, where 3 and 5 are the prime numbers.

Step-by-step explanation:Step 1: Start by dividing the number by the first prime number 2 and continue dividing by 2 until you get a decimal or remainder. Then divide by 3, 5, 7, etc. until the only numbers left are prime numbers. Step 2: Write the number as a product of prime numbers.

mark as the brainliest

A 0.7 kg toy car accelerates at 0.5 m/s2. The FORCE is...
0.35 m/s2
0.35 kg
0.35 N

Answers

Answer:

[tex]\boxed {\boxed {\sf 0.35 \ N}}[/tex]

Step-by-step explanation:

Force can be found by multiplying the mass by the acceleration.

[tex]F=m*a[/tex]

The mass of the toy car is 0.7 kilograms and the acceleration is 0.5 m/s²

[tex]m= 0.7 \ kg \\a= 0.5 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F=0.7 \ kg * 0.5 \ m/s^2[/tex]

Multiply.

[tex]F=0.35 \ kg*m/s^2[/tex]

1 kg*m/s² is equal to 1 Newton. The units for force are Newtons.Therefore, our answer of 0.35 kg*m/s² is also equal to 0.35 Newtons

[tex]F= 0.35 \ N[/tex]

The force of the toy car is 0.35 Newtons

Answer:

(45 kg)(4.1 m/s)2 = 120 N

Step-by-step explanation:

please help asap nobody else has answered my other questions. thanks! answer question 2 please!

Answers

Answer:

15

Step-by-step explanation:

To find the y intercept set x=0

You are given two points: (7,-6)(-4,27)

y=mx+b

y2-y1=x2-x1

x1=7

y1=-6

x2=-4

y2=27

27-(-6)/-4-7=27+6/-4-7=33/-11=-3

y=-3x+b

-6=-3(7)+b

-6=-21+b

+21 +21

b=15 so, y=-3x+15

PLUG IN O TO THAT EQUATION

y=-3(0)+15

Your y intercept would be 15

10 points
What are a few things that help you focus while doing an assignment? (I need help focusing on a math test)
Please dont say unlogical answers, thanks!

Answers

Answer:

chewing gum can help

also taking breaks every time you feel like you need one, make sure you eat before doing a test as-well

Step-by-step explanation:

Answer:

i like to make sure i have a healthy breakfast and a big glass of water, that always helps. sometimes going for a 30 minute walk could help, listening to music also helps me

Step-by-step explanation:

hope this helps ;)

Can you help me please

Answers

2.5

Step-by-step explanation:

Multiply 2.5 by y and you get x

Claire is making picnic lunches. She has 12 sandwiches, 18 apples and 30 pieces of candy. What is the greatest number of lunches she can make if she wants to have the same number of each kind of food in each lunch? *
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Answers

Answer:

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Step-by-step explanation:

One factor of this polynomial is (2x − 1).
2x^3 + 5x^2 - 27x +12
Use long division to determine which expression represents the other factor.
answer choices:
x2 − 3x + 12
x2 + 3x − 12
x2 − 12x + 3
x2 + 12x − 3

Answers

See attachment for answer:

Answer:

B: x^2+3x-12

Step-by-step explanation:

Given: If you live in Orlando, then you live in Florida.

Given: Morgan does not live in Orlando.

Conclusion: Morgan does not live in Florida.

Is this sentence Law of Detachment, Law of syllogism, or invalid

Answers

Answer:

The law of detachment and syllogism is valid here

Explanation:

The law of detachment and syllogism is associated with inductive reasoning. This law states that a conclusion is valid if the premise or hypothesis is valid, therefore if a then b. In others a results in b.

The law of detachment is denoted

[(a→b)∧a]→b

The law of syllogism derives from the law of detachment. Syllogism says that if a results in b and b results in c, then a results in c. In other words since a causes b and b causes c, then if a then c.

It is denoted

[(a→b)∧(b→c)]→(a→c)

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Morgan does not live in Orlando, therefore it is concluded that he does not live in Florida

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A. a convenience sample from the area
B. a simple random sample from the area
C. a cluster sample using the neighborhoods as clusters
D. a stratified sample from the neighborhoods in the area
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Answers

Answer:

defintly A

Step-by-step explanation:

because all the others are inconvenient and bad

Answer:

D

Step-by-step explanation:

Because you want to be able to see data from all neighborhoods.

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Answers

Answer:

The answer is - 23

Step-by-step explanation:

- 15 + (-8) =

- 23

PLS HELP!!!
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Find the value of x by using the exterior angle theorem.

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Answers

A=180-105
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75+ 9x +12x =180
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Answers

Answer:

the answers Is c or 13 because 3*5=15-2=13

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Answers

Answer:

Step-by-step explanation:

61.13*7.5%=4.58

61.13+4.58=65.71

Replace * with a monomial so that the expression represents the square of a binomial: *+24x+9

Answers

Answer:

* is [tex]7x^{2}[/tex]

Step-by-step explanation:

(7x + 3)(x + 3)

=  [tex]7x^{2}[/tex] + 24x + 9

Answer:

7x²

Step-by-step explanation:

Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2)

Answers

Answer:

y = -2x + 2

General Formulas and Concepts

Pre-Alg

Order of Operations: BPEMDAS

Algebra I

Slope-Intercept Form: y = mx + b

m - slope b - y-intercept

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Step-by-step explanation:

Step 1: Define

Point (-1, 4)

y-intercept (0, 2)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{2-4}{0+1}[/tex]Subtract/Add:               [tex]m=\frac{-2}{1}[/tex]Divide:                          [tex]m=-2[/tex]

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Arya travels at an average speed of 30 mph for 40 miles. Without stopping, Arya then travels 120 miles in 2.25 hours. Find her average speed for the entire journey to 2 dp.

Answers

Answer:

44.69 mph

Step-by-step explanation:

Speed = distance/time

Distance is:

40 miles + 120 miles = 160 miles

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40/30 + 2.25 = 3.58 hours

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At a desert resort, the temperature at 7 a.m. was 3°C. The temperature increased by an average of 3.4°C each hour until it reached 30.2°C. How long did it take to reach this temperature?

Answers

Answer: It will take 8 hours to reach this temperature.

Step-by-step explanation:

Given: At a desert resort, the temperature at 7 a.m. was 3°C.

The temperature increased by an average of 3.4°C each hour until it reached 30.2°C.

Let x be the number of hours taken to reach 30.2°C..

As per given ,

Initial temperature +(average increase in temperature) (Number of hours) = 30.2

⇒3+3.4x=30.2

⇒3.4x=30.2-3

⇒3.4x=27.2

⇒ x=8    [Divide both sides by 3.4]

Hence, it will take 8 hours to reach this temperature.

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Answers

Answer:

E

Step-by-step explanation:

the steeper the slope the faster the something

E sorry dude i may be wrong

Lily plans to paint a stencil design on the wall in her room the stencils has one part yellow 3 Part Blue and 4 parts are blue and 4 parts are white .The area of the the walls that she must paint is 480 square feet a quart of paint approximately covers 80 square feet .what is the minimum amount of paint that Lily needs to buy ​

Answers

Answer and explanation:

Since a quarter(1/4) of paint covers 80 square feet, a whole paint would cover 80×4= 320 square feet of the wall

Remaining part of the wall left unpainted after using one whole paint

480-320= 160 square feet

Therefore paint required for remaining unpainted part

= 160/80= 2 quarters of paint(1/4+1/4)= 1/2 paint

Total paint required for the wall = one whole paint + half paint = 1+1/2= 1 1/2

Total paint required is one and half

Or

We divide area of wall by area of wall covered by each quarter

480/80=6 quarters of paint

6 quarters of paint = 1/4+1/4+1/4+1/4+1/4+1/4

We still get same answer

= 1 1/2

Answer: A 1 quart yellow, 2 quarts blue, 3 quarts white

Step-by-step explanation:

if u divide 480 by 80 you will get 6 so u will only need 6 quarts of paint.

If using the method of completing the square to solve the quadratic equation x2 + 15x + 4 = 0, which number would have to be added to "complete the square"?​

Answers

Answer:

The number which number would have to be added to "complete the square" is [tex]\mathbf{(\frac{15}{2})^2 }[/tex]

Step-by-step explanation:

We need to solve the equation [tex]x^2 + 15x + 4 = 0[/tex] by completing square method.

The general form is [tex]x^2+2(x)(y)+y^2=(x+y)^2[/tex]

Solving equation using completing square method

[tex]x^2 + 15x + 4 = 0[/tex]

We would be adding and subtracting 15/2 to make it a complete square

[tex]x^2+2(1)(\frac{15}{2} )+(\frac{15}{2})^2+4-(\frac{15}{2})^2=0[/tex]

So, now it can be written in form of [tex](x+y)^2[/tex]

[tex](x+\frac{15}{2})^2+4-\frac{225}{4}=0\\(x+\frac{15}{2})^2+4-\frac{225}{4}=0\\(x+\frac{15}{2})^2+\frac{4*4-225}{4}=0\\(x+\frac{15}{2})^2+\frac{16-225}{4}=0\\(x+\frac{15}{2})^2+\frac{-209}{4}=0\\(x+\frac{15}{2})^2-\frac{209}{4}=0[/tex]

So,using the method of completing the square to solve the quadratic equation x2 + 15x + 4 = 0 we get  [tex]\mathbf{(x+\frac{15}{2})^2-\frac{209}{4}=0}[/tex]

The number which number would have to be added to "complete the square" is [tex]\mathbf{(\frac{15}{2})^2 }[/tex]

Answer:

it's 56.25

Step-by-step explanation:

Already Completed it on K12

PLEASE HELP!Find the slope of the line on the graph.
Write your answer as a fraction or a whole
number, not a mixed number or decimal

Answers

Answer:

3/1 or 3

Step-by-step explanation:

It rises up three and to the side one

Answer: The slope is 3.

Find the area of a sector with a central angle of 126 degrees and a radius of 11.8 m. Round to the nearest tenth.

Answers

Answer:

The area would be 13.

Step-by-step explanation:

Which number is a rational number?

Answers

Answer:sq rt of 49

Step-by-step explanation:

apples cost $1 each and oranges cost $2 each. Noah has $10 to spend at the produce market. Can he buy 7 apples and 2 oranges? Explain or s reasoning. HELP NEEDED ASAP WILL GIVE 5 STARS AND BRAINLIEST

Answers

Answer:

apple= $1

orange=$2

Noah has total $10

He can't buy 7 apples and 2 orange

Step-by-step explanation:

7 apple= $7

2 orange= $4

7+4=11

And Noah only has $10

Luka wants to buy peaches and a watermelon . Peaches cost $2.99 a pound, and watermelon costs $4.50. he has $15.00 to spend

Answers

Answer:

2.99: 3   4.50: 5

Step-by-step explanation:

5 plus 3 equals 8.

If he has 15.00 to spend he would get 7 dollars as change.

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