En una prisión federal para mujeres, 100 de las 240 internas tienen puntos de vista izquierdistas. Si se elige al azar a 5 de ellas para comparecer ante el juzgado, determine la probabilidad de que solo una de ellas tendrá
ideas políticas de izquierda.

Answers

Answer 1

Answer: La probabilidad es 0.24

Step-by-step explanation:

De 240 personas, sabemos que 100 tienen una vista izquierdista.

Entonces la probabilidad de que una persona, seleccionada al azar, tenga una vista política izquierdista es:

Pa = 100/240 = 5/12

Entonces la probabilidad de que una persona elegida al azar NO tena una vista política izquierdista, es:

Pb = 1 - Pa = 1 - 5/12 = 7/12.

Queremos calcular la probabilidad que de 5 personas elegidas al azar, solo una tenga una vista izquierdista.

Entonces vamos a tener Pa una vez, y Pb 4 veces.

Y como sabemos, la probabilidad conjunta es igual al producto de las probabilidades, entonces:

p = Pa*Pb^4 = (5/12)*(7/12)^4

Pero esto va a ser para un solo arreglo (por ejemplo, de las 5 personas electas, la primera tiene una visión izquierdista), entonces tenemos que tener en cuenta las permutaciones, que van a ser las posibles permutaciones de un elemento en un espacio de 5 posibles espacios.

Son 5 permutaciones, y estas son:

La primera tiene visión izquierdista.

La segunda tiene visión izquierdista.

La tercera tiene visión izquierdista.

La cuarta tiene visión izquierdista.

La quinta tiene visión izquierdista.

Que también es igual a la combinatoria de 5 en 1.

[tex]C(5,1) = \frac{5!}{(5 - 1)!*1!} = 5[/tex]

Entonces la probabilidad que buscamos va a ser:

P = 5*p = 5*(5/12)*(7/12)^4 = 0.24


Related Questions



Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5

years? Round your answer to two decimal places.

Answers

Answer:

FV= $3,725.07

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $3,294

Number of periods (n)= 5 years

Interest rate (i)= 2.6% = 0.026

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 3,294*(1.026^5)

FV= $3,725.07

Please answer! I will give brainliest to the correct answers.

Answers

Answer:

(n+10)+9

{(n+10)+9}/2

[{(n+10)+9}/2]-5

All you have to do is follow the steps!

Think of a number - n

Add 10 - n + 10

Add the number you were thinking of - n + 10 + n

Divide by 2 - (n + 10 + n) / 2

Subtract 5 - ((n + 10 + n) / 2) -5

It may look hard, but its not as hard as you think. All you need to do is follow the steps!

Find n and r 10 pointssss

Answers

N is 10.6
And
R is 5.2

Can anyone please help FAST! I’m looking for the correct answer and how you explain it! I’ll mark brainlist please and thank you!

Answers

1a. Y = mx + b
Y = 2x + b
-2 = 2(5) + b
-2 = 10 + b, b = 12
Equation: y = 2x + 12

1b. Standard form: Ax + By = C
subtract 12 and y from both sides
2x - y = -12
Equation: 2x - y = -12

Answer:

Part 1: y=2x-12

Part 2: 12=2x-y

Step-by-step explanation:

Given Information:

m (slope) = 2

There is a point: (5, -2)

PART 1

Solution: Use the formula:  [tex]y=m(x-x_{1} )+y_{1}[/tex]

y=2(x-(5))+(-2)

y=2x-10-2

y=2x-12

PART 2

y=2x-12         (from part 1)

0=2x-y-12      

12=2x-y

What is the slope through the points
(1,-3) and (2,1)

Answers

Answer:

The slope is 4

The equation is y=4x-7

Step-by-step explanation:

y-y/x-x I used this equation and plugged the numbers in.

Convert the rate to a unit rate. What is 124 feet walked in 10 seconds equal per second?

Answers

Answer:

12.4 feet per second

Step-by-step explanation:

Walking 124 feet in 10 seconds is the fraction [tex]\frac{124 feet}{10 seconds}[/tex] this is the same as [tex](\frac{124}{10}) \frac{feet}{seconds}[/tex] We get a decimal by dividing 10 into 124 [tex](12.4)\frac{feet}{seconds}[/tex] That's 12.4 feet per second

A hospital claims the main number of patients seen in the emergency room each day is more than 49. You know the following items about this study; The P value is 0.0922, the level of significance is 10% and assume the population is normally distributed

Answers

Answer:

The p-value is less than the alpha (the level of significance) reject the null hypothesis. There is sufficient evidence at the α = 0.1 level of significance to conclude that μ>49.

Step-by-step explanation:

What is the y-intercept of 6x + 12y = 60

Answers

Answer:

it means when x =0

so 6*0+12y=60

12y=60

y=5

Step-by-step explanation:

Answer:

In y intercept x = 0

so,we replace 0 in place of x

Step-by-step explanation:

6*0+12y=60

0+12y=60

y=60/12

y=5

A. B. C. Or d. Please

Answers

Answer:

B

Step-by-step explanation:

find the missing side round answer to the nearest tenth (tan)

Answers

Answer:

8.5

Step-by-step explanation:

tan⁡θ=opp/adj

tan 66° = 19/x

xtan66° = 19

x = 19/ tan 66° = 8.45

please *atleast* answer one of them!
1. what is the difference when (t-3v) is subtracted from the sum of (7t-2u-3v) and (3t+5u-8v)?
2. Which of the following best describes “The movement of a lift is positive 2 levels”? *
3. How many like terms are there in the expression 2x + 3y - 5x + yz - x?

Answers

Answer and Step-by-step explanation:

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1. Let's write out the equation to subtract.

7t - 2u - 3v - (t - 3v)

Distribute the negative to the t and -3v.

7t - 2u - 3v - t + 3v         (The negatives cancel out)

Now simplify by combining like terms.

6t - 2u

This is the answer because the 3v and -3v cancel out.

2. I don't really understand what this is saying. Is there answer choices for this? But what I think its saying is that the lift has a constant of 2.

3. To find out the amount of terms, we would simplify the equation.

2x + 3y - 5x + yz - x

-4x  + 3y + yx

Here, we can see that we have 3 terms in this expression.

-4x is the first term, +3y is the second term, and +yx is the third term.

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#teamtrees #WAP (Water And Plant)

guys help plz What is the coefficient of y^2 in the expression 2x^2y – 10xy^2 + 5y^2?

Answers

the coefficient of y^2 is 5.
the coefficient is basically like the value of the unknown term, y^2.

Find the slope and the y−intercept of the line in the graph.

Answers

Answer:

hgnbgnbgn

Step-by-step explanation:gnhgbnghnb

The diameter of a pipe is normally distributed, with a mean of 0.4 inch and a variance of 0.0009. What is the probability that the diameter of a randomly selected pipe will exceed 0.418 inch

Answers

Answer:

P(X > 0.418) = 0.27425

Step-by-step explanation:

We are given;

Population mean; μ = 0.4 inch

Variance; Var = 0.0009

Sample mean; x¯ = 0.418

First of all let's get the standard deviation which is;

σ = √Var

σ = √0.0009

σ = 0.03

Now, z - score formula is;

z = (x¯ - μ)/σ

z = (0.418 - 0.4)/0.03

z = 0.6

We want to find the probability that the diameter of a randomly selected pipe will exceed 0.418 inch. Thus;

P(X > 0.418) = 1 - P(X ≤ 0.418)

From z-distribution table attached, P(X ≤ 0.418) = P(Z) = 0.72575

Thus;

P(X > 0.418) = 1 - 0.72575

P(X > 0.418) = 0.27425

There are 3 students on a team for a relay race. How many teams can be made from 32 students?

Answers

Answer:

10 teams, 2 students would be left out I think.

Hope this helped :)

10 teams could be made but 2 students would be left out

The animal shelter requires 1 pound of food for every 3 animals. This directly proportional relationship is represented by the equation y = (1/3)x, where x represents the number of animals and y represents pounds of food. If y varies directly with x, which graph represents the situation?

Answers

Answer:

It is the second graph.

Step-by-step explanation:

X^2 + 10x = 0
How do I solve for a completed square ?

Answers

Answer:

12x=0

Step-by-step explanation:

x=0 because it is

Answer:

x = 0 x = -10

Step-by-step explanation:

First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.

Secondly, you would factor it out and be with

(x + 0)(x +10)=0

Third, you would set each one equal to 0

x + 10 = 0 x + 0 = 0

Solve from there to get your two x's

x = 0 and x = -10

Un ingeniero realiza las siguientes observaciones sobre las ventas de impresoras en una tienda: Hay impresoras Epson, Hp y Cannon. El número de impresoras Epson y HP es cinco veces el número de las Cannon. Además, el número de impresoras Epson es el triple que el de la Cannon y El total de impresoras Cannon y Hp asciende a 123​

Answers

Answer:

En la tienda hay 123 impresoras Epson, 82 impresoras HP y 41 impresoras Cannon.

Step-by-step explanation:

Para determinar el número de impresoras de cada marca, se deben plantear las siguientes ecuaciones:

E + HP = 5 x C

E = 3 x C

C + HP = 123

Así, teniendo en cuenta estas ecuaciones y los valores de cada marca dentro del stock de la tienda, se puede plantear la siguiente equivalencia:

Si E = 3C y E + HP = 5C, entonces HP = 2C, ya que 5C - 3C = 2C.

Entonces, las equivalencias son las siguientes:

E = 3C

HP = 2C

Si C + HP = 123, podríamos decir que 3C = 123. Por ello, dado que 123 / 3 es igual a 41, el número de impresoras Cannon asciende a 41 unidades.

A su vez, el número de impresoras HP es de 82 unidades (41 x 2), mientras que el número de impresoras Epson asciende a 123 unidades (41 x 3).

72÷x=3.6÷0.015

Pls show work

Answers

Answer: x=0.3

Step-by-step explanation:

The solution of the linear equation 72 ÷ x = 3.6 ÷ 0.015 will be 0.03.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation with one variable is given as,

72 ÷ x = 3.6 ÷ 0.015

Simplify the equation, then the value of 'x' is given as,

72 ÷ x = 3.6 ÷ 0.015

x ÷ 72 = 0.015 ÷ 36

x / 72 = 0.015 / 36

x / 2 = 0.015

x = 0.03

The solution of the linear equation 72 ÷ x = 3.6 ÷ 0.015 will be 0.03.

More about the solution of the equation link is given below.

https://brainly.com/question/545403

#SPJ2

Use the distributive property to expand 0.05(50 + 40).

Answers

Answer:

4.5

Step-by-step explanation:

What is i2=-1 math test

Answers

Answer:

Your answer is: ↓

If your converting in Logarithmic Form then your answer is: [tex]log_{i}(-1)=2[/tex]

If you are trying to figure if that equation is determined T/F: The answer is T.

If you are trying to evaluate (expand) the question your answer is:[tex]-1=-1[/tex]

Step-by-step explanation:

Hope this helped : )

Can someone help me

Answers

Answer:

23.27 - 5. 3 = 17.97

Step-by-step explanation:

What is the BEST deal on sugar?
• 1 kg of sugar for $1.05
1.5 kg of sugar for $1.65
• 2 kg of sugar for $2.00
• 5 kg of sugar for $4.75
• 10 kg of sugar for $9.95

A)1 kg of sugar for $1.05
B)1.5 kg of sugar for $1.65
C)2 kg of sugar for $2.00
D)5 kg of sugar for $4.75

Answers

Answer:

C

Step-by-step explanation:

well if you multiply each of tjem you would only sabe money on c the other choices would cause you to lose money so its c

FINANCE

4. Which of the following is NOT a reason why the required return on a bond may differ from its par value?

A. The required rate of return exceeds the coupon value, so the bond sells at a premium.
B. The required rate of return exceeds the coupon value, so the bond sells below par value.
C. The required rate of return is less than the coupon value, so the bond sells at a premium.
D. The required rate of return is less than the coupon value, so the bond sells below par value.

Answers

Answer:

I think the answer is B

Step-by-step explanation:

Thank you

It is B trust me and have a good thanksgiving

a proportion question ​

Answers

Answer:

because x,y,z are in continuous proportion

=> x/y = y/z

<=> xz = y² =>

[tex]\frac{xz}{y} =y\\\\=>\frac{x^{3}z^{3} }{y^{3} }=y^{3}[/tex](1)

with (1), we have:

[tex]x^{2}y^{2}z^{2}(\frac{1}{x^{3} }+\frac{1}{y^{3} }+\frac{1}{z^{3} })\\\\= (xyz)^{2}(\frac{1}{x^{3} } +\frac{y^{3} }{x^{3}z^{3} }+\frac{1}{z^{3} })\\\\=(xyz)^{2} (\frac{x^{3}+y^{3}+z^{3} }{x^{3}z^{3}} )\\\\=y^{2}.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\= xz.\frac{x^{3}+y^{3}+z^{3} }{xz} \\\\=x^{3}+y^{3}+z^{3}[/tex]

Step-by-step explanation:

Thanks for the help :)

Answers

Your welcome I’m glad to help out

Chicks Corporation had $1,100,000 in invested assets, sales of $1,210,000, income from operations amounting to $302,500, and a desired minimum rate of return of 15%.

The profit margin for Chicks is:

25%

22%

15%

27.5%

Answers

Answer:

Step-by-step explanation:

Find the volume of a cylinder, given
the radius as 7cm and height 10cm.​

Answers

Answer:

1539.38cm³

Step-by-step explanation:

V=πr2h=π·72·10≈1539.3804cm³

V≈1539.38 just use the formula it’s easy

A die is rolled 5 times. What is the probability that 1 occurs twice, 2, 3 and 4 occur once each, and 5 and 6 do not occur (round off to fourth decimal place)

Answers

Answer:

0.0077

Step-by-step explanation:

From the given information;

Each outcome possesses the same probability of 1/6 in a single roll.

The required probability can be estimated by using the multinomial distribution;

Therefore;

[tex]P = \dfrac{5!}{2!\times 1!\times 1!\times\times 1! }\times (\dfrac{1}{6})^2\times (\dfrac{1}{6})\times (\dfrac{1}{6})\times (\dfrac{1}{6})[/tex]

[tex]P = 60\times (\dfrac{1}{36})\times\dfrac{1}{216}[/tex]

P = 0.0077

The required probability = 0.0077     to 4 decimal decimals

5 roommates share the cost of an apartment: rent,electricity, and gas. rent costs 1800 and gas costs 150 per month. each roommate pays 425 per month. how much is the electricity bill​

Answers

Answer:

Electricity bill is 175

Step-by-step explanation:

Given

[tex]Rent = 1800[/tex]

[tex]Gas = 150[/tex]

[tex]Each\ Roommate = 425[/tex] monthly

[tex]Number\ of\ Roommate = 5[/tex]

Required

Determine the electricity bill

If each roommate pays 425, then 5 roommates pay 5 * 425

[tex]Total = 5 * 425[/tex]

[tex]Total = 2125[/tex]

This implies that: the monthly cost of room, gas and electricity add up to 2125.

In other words,

[tex]Gas + Rent + Electricity = 2125[/tex]

[tex]150 + 1800+ Electricity = 2125[/tex]

[tex]1950+ Electricity = 2125[/tex]

[tex]Electricity = 2125 - 1950[/tex]

[tex]Electricity = 175[/tex]

Hence, the electricity bill is 175

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