A family has two children. if b represents a boy and g represents a girl, the set of outcomes for the possible genders of the children is s = {bb, bg, gb, gg}, with the oldest child listed first in each pair. let x represent the number of times g occurs. which of the following is the probability distribution, px(x)? a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.5, 0.25. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.33, 0.33, 0.33. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0.25, 0.75, 0. a 2-column table has 3 rows. the first column is labeled x with entries 0, 1, 2. the second column is labeled p x (x) with entries 0, 0.5, 0.5.

Answers

Answer 1

Probability helps us to know the chances of an event occurring. The probability distribution of a girl child being born can be drawn as given below.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

As it is given to us that the possible genders of the children,

S = {BB, BG, GB, GG},

And we know that the probability of a girl child can be found using the formula of probability, now, finding the probability of the girl child,

A.) The probability that there is no girl child born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=0)=\dfrac{\text{Outcomes in which no girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=0)=\dfrac{1}{4} = 0.25[/tex]

B.) The probability that there is one girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=1)=\dfrac{\text{Outcomes in which one girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=1)=\dfrac{2}{4} = 0.5[/tex]

C.) The probability that there is two girl child is born,

[tex]\rm{Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}\\\\[/tex]

[tex]\rm P(X=2)=\dfrac{\text{Outcomes in which two girl child is born}}{\text{All the possible values}}[/tex]

[tex]\rm P(X=2)=\dfrac{1}{4} = 0.25[/tex]

The probability distribution of a girl child being born can be drawn as given below.

Learn more about Probability:

https://brainly.com/question/795909

A Family Has Two Children. If B Represents A Boy And G Represents A Girl, The Set Of Outcomes For The
Answer 2

Answer:A

Step-by-step explanation:


Related Questions

PLEASE HELP! DUE TODAY! TY!
In the figure, line segment AB is tangent to the circle at point A. Find the length of line segment AB.

Work:

AB =

Answers

Answer: 12 inches

Step-by-step explanation:

a construction company is building a house based on the picture. The scale from picture to real house is 1 inch= 8 feet the height of the building in the picture is 2.5 inches what is the height of the real building the proportion i would use to solve this is ____ the height of the real building should be ______ feet. To explain to the construction workers how they would calculate the height of the final building. i would tell them ____

Answers

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

Which equation can be used to find A, the area of the parallelogram shown?

Answers

Answer A

Calculate it correctly you will get it

Answer:

c

Step-by-step explanation:

the area of a parallelogram is given by base ×height

in this case 10×5

Using the Linear equation 4x-3y=12, express each of the following.
y in terms of x. y=

Using the Linear equation 4x-3y=12, express each of the following.
x in terms of y. x=

Answers

Using the given linear function, it is found that the expressions are given by:

[tex]y = \frac{4x}{3} - 4[/tex].[tex]x = \frac{3y}{4} + 3[/tex].

What is the given linear function?

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

[tex]3y = 4x - 12[/tex]

[tex]y = \frac{4x}{3} - 4[/tex]

To find x in terms of y, we isolate x, hence the expression is given by:

[tex]4x = 12 + 3y[/tex]

[tex]x = \frac{3y}{4} + 3[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

does 20, 40, 30 form a right triangle

Answers

Answer: No

Step-by-step explanation: In order for a triangle to be right, the first number and second number has to be smaller than the middle number.

20+30= 50

50>40

therefore 20,40,30 can not be a right triangle

Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)

To form a right triangle with 3 lengths, they must satisfied the equation : [tex]a^{2} +b^{2} =c^{2}[/tex] (aka pythagorean theorem)

Replace numbers : [tex]20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)[/tex]

-> These lengths do not form a right triangle.

what is the height of the prism?

Answers

Answer:

option 1

Step-by-step explanation:

[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]

your required answer

if y=5x-3, find the value of y when x=-2

Answers

Answer:

y = -13  

Step-by-step explanation:

y = 5(-2) - 3

y= -10 -3

y = -13  

Step-by-step explanation:

or, y = 5x - 3

or, y = 5 (-2) - 3

or, y = -10 - 3

y = -13

Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

Answers

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

What is a unit circle?

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

A unit circle is a circle with a unit radius.

Given that:

The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).

Hence:

tan(α) = (0.956 / -0.292) = -3.274

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

Find out more on unit circle at: https://brainly.com/question/23989157

Answer number 9 please. Thank you.

Answers

The above attachment is the answer. Hope it helps?

I got 110 inches by doing 2*22/7*17.5 17.5 is the radius if the diameter therefore my answer makes sense after all calculations.

HELP PLEASE FOR NUMER 3 and 4 PLEAESE ASAP ANI WILL GIVE BRANILESS FOR THE FIRST PERSON

Answers

Step-by-step explanation:

I don't understand this question

come again


b. Maria is watching cell growth in a lab. The cells double every 30 minutes. If there were 3 cells
initially, how many cells are there in 5 hours

Answers

Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t

Find the balance in the account after the given period
$3000 principal earning 5% compounded annually, 8 years
i really need help im confused

Answers

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

If the area of a parallelogram is 5 ⅖ ft. height of the parallelogram is 2 ⅖ ft, what is the base of the parallelogram

Answers

Answer:

3 2/5

Step-by-step explanation:

.

Which expression is equivalent to 125 x 15,??
y
O 5x®y3z
0 5x²y5z
O 25x²y3z
O 25x²y5z

Answers

Answer:

25²×3is the equivalent answer

Kevin is 4 times as old as Daniel and Kevin is
also 6 years older than Daniel

Answers

Step-by-step explanation:

let kevein be x and daniel be y

x=4y (equation i)

x=6+y(equationii)

putting the value of x in equationii

4y=6+y

3x=6

x=2

A triangle has two sides of length 1 and 8. What is the smallest possible whole-number length for the third side?

Answers

Answer:

1/8 is the smallest possible whole number length for the third side

When two lines intersect, are all the angles formed equal?

Answers

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

What are intersecting lines?

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

Read more about intersecting lines here;

https://brainly.com/question/13954458

#SPJ4

6x+9=45 how do you solve it

Answers

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf \purple{6x + 9 = 45}[/tex]

[tex] \mathsf \pink{6x + 9 - 9 = 45 - 9}[/tex]

[tex] \mathsf \purple{6x = 36}[/tex]

[tex] \mathsf \pink{ \frac{6x}{6} = \frac{36}{6} }[/tex]

[tex] \mathsf \purple{x = 6}[/tex]

[tex] \mathbb\orange{Hope\: It\: Helps} [/tex]

Is πxy=4 a linear equation?

Answers

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

in the figure line segment AB is tangent to the circle at point A. find the length of line segment AB 8 in. And 10 in.

Answers

Answer:

the answer is just ab

Step-by-step explanation:

dats what it is added up

The length of line segment AB is 12 inches for the given figure.

What is a secant?

A secant is a straight line that touches a circle twice.

As per the given figure, we have

Secant segment  BD = (8+10) in.

External secant segment BC = 8 in.

Tangent segment = AB

When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.

So, AB² = BC × BD

Substitute the values in the above equation,

AB² = 8 × (8+10)

AB² = 8 × 18

AB² = 144

AB = 12

Thus, the length of line segment AB is 12 inches.

Learn more about secants theorems here :

brainly.com/question/15532257

#SPJ3

The complete question has been attached below.

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

|323

Answers

Answer:

its 323 so you were right :) if 323 is your answer lol

Step-by-step explanation:

abs(T-50)=323 Where T is in degrees Kelvin.

abs () means absolute value.

So T=323 plus or minus 50

Given the function h of x equals 8 times the cube root of x minus 6 end root plus 16, what is the x-intercept of the function?

–6
–2
2
16

Answers

The x-intercept of the function h(x) is when the function h(x) = 0

The x-intercept of the function is -2

How to determine the x-intercept?

From the question, the function is given as:

[tex]h(x) = 8 * \sqrt[3]{x - 6} + 16[/tex]

Set the function h(x) to 0, to calculate the x-intercept

[tex]8 * \sqrt[3]{x - 6} + 16= 0[/tex]

Subtract 16 from both sides of the equation

[tex]8 * \sqrt[3]{x - 6} +=-16[/tex]

Divide through by 8

[tex]\sqrt[3]{x - 6} =-2[/tex]

Take the cube of both sides

[tex]x - 6 =-8[/tex]

Add 6 to both sides

[tex]x =-2[/tex]

Hence, the x-intercept of the function is -2

Read more about x-intercept at:

https://brainly.com/question/3951754

Answer:

-2

Step-by-step explanation:

The person above me explained it perfectly! Also, I got this answer correct on my test.

Explain why the fractions in question number 2 are equivalent?

Answers

Answer:

its 2/6ths its only multiplied by 2

Step-by-step explanation:

you are shopping in a video store and have $49.50 to spend each DVD costs $4.25. ESTIMATE the maximum number of DVDs you could buy?

Answers

With a total of $49.50 one would be able to buy 12 DVDs in the video store

Estimation of Numbers

Given data

Amount at hand = $49.50Cost per DVD = $4.25

Required: the Number of DVDs that can be bought

The expression for find the number of DVDs is given as

Number of DVD = Total Amount/Cost per unit

Number of DVD = 49.50/4.25

Number of DVD =11.64

Hence $49.50 would buy approximately 12 DVDs

Learn about Estimates here;

https://brainly.com/question/5399974

how do I do this??????

Answers

you take 99 divided by 22 = 4.5

I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.

have a good day/night!! :)

Find the 14th term of the following geometric sequence 1,2,4,8,…

Answers

Answer:

The 14th term is 8,192

Step-by-step explanation:

Well we can see that it is multiplying every next term by 2.

2nd term : 1*2 = 2

3rd term  : 2*2 = 4

4th term  : 4*2 = 8

So, we can simply carry out this process.

5th term  : 8*2 = 16

6th term  : 16*2 = 32

7th term  : 32*2 = 64

8th term : 64*2 = 128

9th term :  128*2 = 256

10th term : 256*2 = 512

11th term  : 512*2 = 1024

12th term : 1024*2 = 2048

13th term : 2048*2 = 4096

14th term : 4096*2 = 8192

The 14th term is 8,192

Answer:

8192

Step-by-step explanation:

The rate is x2. Multiplying to the 14th term gets to 8192.

hope this helps!

Please help! will give brainlest! locks in 30 min!

Answers

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]

tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]

= [tex]\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

WHAT IS THE AVERAGE NUMBER OF POINTS THAT CHANGED HANDS

Answers

Could you supply the picture as well?

Solve this for me pls

Answers

Answer:don’t delete my comment I need more points lol

Step-by-step explanation:

Find the scale of the 2 known sides:

40/8 = 5


the larger shape is 5 times the size.

Multiply the known sides by 5:

X = 5 *5 = 25


x = 25

Why is the Area for my shape not correct and can you explain why?

Answers

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have given

2 squares , In which 1 square is enclosed within the another square and it arranged in a form that it forms 4 right angled triangle The height and base of the given right angled triangles are 6 and 3 each.

We know that,

Area of triangle

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]

Subsitute the required values,

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]

[tex]\sf{ = 3 {\times} 3 }[/tex]

[tex]\bold{ = 9 }[/tex]

Therefore,

Area covered by 4 right angled triangles

[tex]\sf{ = 4 {\times} 9 }[/tex]

[tex]\bold{ = 36}[/tex]

Now,

We have to find the area of the big square

The length of the side of the big square[tex]\sf{ = 6 + 3 = 9 }[/tex]

We know that,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 9 {\times} 9 }[/tex]

[tex]\bold{ = 81 }[/tex]

Therefore,

The total area of shaded region

= Area of big square - Area covered by 4 right angled triangle

[tex]\sf{ = 81 - 36 }[/tex]

[tex]\bold{ = 45 }[/tex]

Hence, The total area of shaded region is 45 .

Part 2 :-

Here,

We have to find the area of non shaded region

According to the question

Hypotenuse = The length of square

Let the hypotenuse of the given right angled triangle be x

Therefore,

By using Pythagoras theorem,

This theorem states that the sum of the squares of the base and perpendicular height is equal to the square of hypotenuse.

That is,

[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]

Subsitute the required values

[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]

[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]

[tex]\sf{ x = \sqrt{45}}[/tex]

[tex]\bold{ x = 6.7 }[/tex]

That means,

The length of the small square = 6.7

We know that ,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]

[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]

Therefore ,

Area of non shaded region

= Area of big square - Area of small square

[tex]\sf{ = 81 - 44.9 }[/tex]

[tex]\bold{ = 36.1 }[/tex]

Hence, The total area of non shaded region is 36.1 or 36 (approx) .

Part 3 :-

Here, we have to

find the total area of the figure

Therefore,

The total area of the figure

= Non shaded region + Shaded region

[tex]\sf{= 36 + 45 }[/tex]

[tex]\bold{= 81}[/tex]

Hence, The total area of the given figure is 81 .

Other Questions
A chocolatier makes chocolate bon-bons in the shape of a sphere with a radius of 1.1 cm. The chocolate used in the bon-bons has a density of 1.28 g/cm^3 3 . If the chocolate used costs $0.03 per gram, how much would the chocolate for 190 bon-bons cost, to the nearest cent? The word "boss" comes from the dutch language, meaning what?. I need help quick please Please help I will give brainliest. HELP PLEASE!!!!Mr. Smith earns $75 a day plus $35 for each car he sells. Ife is the amount he earned and is the number of cars he sold, which expression below shows how much Mr. Smith will earn in a day?Ooor 76O35675On 350 !!PLEASE HELP!! Satellites make observations of Earth's oceans over time. Some pictures show the ocean as blue, and some pictures show the ocean as more green. Explain this phenomena. I NEED THIS FAST a sample of an unknown liquid has a volume of 30.0 mL and a mass of 6 g. whats the density ? show your work and exaplain how you determined this value i will give you 20 branilest Maddi wants to build a basket with a length of 2 feet, a width of1 feet, and a depth of 2 feet. What will the volume of her basketbe, in cubic feet? Analyze Interactions The War Powers Resolution of 1973 gives thePresident the power to order troops into combat when the United States isdirectly attacked. Why, then, did Congress need to pass a special resolutionallowing the President to use force against the nations involved in the terrorattacks of September 11, 2001? Where in their life cycle are stars on the main sequence?. Chana and Josiah started skating at the same time in the same direction, but Josiah had a head start 10meters past the starting line. Chana skated 3 meters per second and Josiah skated 2 meters per second.Here's a graph that shows a system of equations for this scenario where x is the number of seconds sinceChana and Josiah started skating and y is the distance in meters from the starting line. A student wants to survey the sophomore class of 200 students about whether the school should require uniforms. Arandom sample of 50 sophomores is surveyed and asked whether they support the school adopting uniforms. Ofthe 50 sophomores, 12 say they would favor school uniforms. Assuming the conditions for inference have been met,what is the 90% confidence interval for the true proportion of sophomores who favor the adoption of uniforms?0.24 +1.960.24(1-0.24)200O 0.7601.9640.76(1 -0.76)200O 0.24 +1.6570.24(1-0.24)50O 0.76 +1.950.76(1-0.76)50 If x+2y=13 find the value of y when x is Qu opinin tienen las personas de una comunidad del mundo hispanohablante que te sea familiar con respecto a la conservacin del medio ambiente y los recursos naturales? Compara la opinin de personas de una regin del mundo hispanohablante que te sea familiar con la opinin de las personas de tu comunidad o de otra comunidad. En tu presentacin, puedes referirte a que has estudiado, vivido, observado, etc. Regina created a playlist on her cellphone. The playlist includes 3 pop songs, hip-hop songs, and 1 blues song. Regina will randomly choose 2 songs, without repeating a song, to play through her new earbuds. What is the probability that Regina will choose a pop song first and a hip-hop song second? of 34 cars in a parking lot 20 are green 8 are gold and the rest are black what are the odds against the next car leaving the lot being black A counter recorded 254 revolutions of the bicycle wheel diameter 5/4 how far did bicycle travel use 22/7 for pi How can I solve the equation? which of these elements has the smallest atomic radius pls helpi need help with my history stuff