A couple plan s to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely.)
a) Create a probability model for the number of children they might have.
b) Find the expected number of children.
c) Find the expected number of boy s they 'll have.

Answers

Answer 1

Answer:

b) 1.75       c) 0.875

Step-by-step explanation:

lt is given that a couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys.

a) The possible combination for the number of children  that a couple might have  :

  X             1st girl      1st boy, 2nd girl       1st ,2nd boys,3rd girl    1,2,3rd boys Probability-   0.5                 0.25                        0.125                           0.125

b) Expected number of children   :

   1(0.5) + 2 ( 0.25 ) + 3 ( 0.125)  + 3( 0.125)

   =  1+ 0.75

   = 1.75

c) Expected number of boys :

     0 x 0.5  + 1 x 0.25  + 2 x 0.125 + 3 x 0.125

    =    0.875    


Related Questions

Luke grew some carrots in his garden. Their weights, in grams, are listed below.

45, 48, 51, 52, 55, 56, 57, 59, 60, 62, 66, 69, 73

Which histogram represents the weights of Luke's carrots?

Answers

Answer:

your answer is totally wrong

Step-by-step explanation:

The histogram is as given.

What is a histogram?

A histogram is a representation of numerical data, where each data is represented as a vertical bar, and the height of the bar gives the frequencies of the values in the data.

Given,

Weights of carrots:

45, 48, 51, 52, 55, 56, 57, 59, 60, 62, 66, 69, 73

The histogram is as given below.

To learn more about histograms visit:

https://brainly.com/question/16819077

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give the exact form and decimal form of the equation

8=9sin(6x)

simplify the equation into the form sin(ax)=b and use the inverse sin to solve for x

Answers

Answer:

Exact form: [tex]\sin{(6x)} = \frac{8}{9}[/tex]

Decimal form: [tex]\sin{(6x)} = 0.8889[/tex]

The solution for x is: The solution for x is of 10.455º

Step-by-step explanation:

We are given the following equation:

[tex]8 = 9\sin{(6x)}[/tex]

Placing into the desired format, the exact format is:

[tex]\sin{(6x)} = \frac{8}{9}[/tex]

In the decimal part, we divide 8 by 9. So

[tex]\sin{(6x)} = 0.8889[/tex]

Solving for x:

We apply the inverse sine. So

[tex]\sin^{-1}{\sin{(6x)}} = \sin^{-1}{0.8889}[/tex]

[tex]6x = 62.73[/tex]

[tex]x = \frac{62.73}{6}[/tex]

[tex]x = 10.455[/tex]

The solution for x is of 10.455º

What are the slope and y-intercept for the following equation? 3x + 20 = -4y

Answers

Answer:

rjdjddd

Step-by-step explanation:

u u3ueueneehnenenee

The slope is 3x and the y - intercept is 20

Which of these function has a greater rate of change than the function graphed bean why
1
3
12
.
12
Oya 2x + 12, because the rate of change of the graphed function is 9
y = 10x + 1, because the rate of change of the graphed function is 3
Oy10x 1, because the rate of change of the graphed function is 9
y = 212, because the rate of change of the graphed function in 3

Answers

Answer:

The 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

Step-by-step explanation:

From the graph,

Taking two points

(0, 0)(3, 9)

Finding the rate of change or slope between (0, 0) and (3, 9)

Using the formula

Rate of change = Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [9 - 0] / [3 - 0]

               = 9 / 1  

               = 3

Thus, the rate of change or slope of the line = m = 3

The slope-intercept form of the line equation

[tex]y = mx+b[/tex]

where

m is the rate of change or slopeb is the y-intercept

Considering the function in 2nd option

y = 10x+1

Comparing with the slope-intercept form of the line equation y = mx+b

The rate of change or slope = m = 10

Conclusion:

The rate of change or slope of the graphed line: m = 3

The rate of change or slope of y = 10x+1 is: m = 10

Thus, the rate of change of y = 10x+1 i.e. m = 10 is greater than the rate of change of the graphed line i.e. m = 3.

Hence, the 2nd option is correct.

i.e.

y = 10+1, because the rate of change of the graphed function is 3.

If the circumference if a circle is C inches which equation represents the diameter of the circle d .

Answers

Answer:

c=π⋅d , Where: c is the circumference of the circle, and d is the diameter of the circle. Explanation

1. A piece of steel has a volume of 12 cm3
and a mass of 96g. What is its density?

Answers

Answer:

it's density is 8 g /cm³

Step-by-step explanation:

Mass (m) = 96 g

Volume (v) = 12 cm³

Density (d) =?

We know density is defined as mass per unit volume so

d = m/v

= 96 / 12

= 8 g/cm³

Hope it will help :)

Note : if in the question it is said to write in sI system u have to write in kg/m³.

Can someone help me out with this

Answers

The answer would be x= 68 degrees

Pls help I’m failing I will brainlest

Answers

To the nearest percent, it would be about 21%.
A change from 63 to 76 represents a positive change (increase) of 20.63492063%
Use the formula found below on this webpage to find the percent change by replacing the given values:
Percent change = New - Old
|Old|
× 100%
Percent change = 76 - 63
|63|
× 100% =
13
63
× 100 = 20.63492063% (increase)

3- blank = 11

Please help

Answers

Answer:

14

Step-by-step explanation:

3+11=14

soo that is the answer (i read it correctly it is the right answer)

What this the value of f

Answers

Answer:undefined

Step-by-step explanation:-5 is not in the ranges of 0 to 3, greater than three and it is not equal to three so undefined.

Will give brianliest

Answers

It would Be C. Took longer then expected somehow.

Please help :/ I will mark brainlisest

Answers

Step-by-step explanation:

First add outer numbers then add inner numbers theninus inner number from outside number I think I had learnt it on grade 1 now I am on 7th standard

Can someone please help me

Answers

Answer:

the constanst is everytime have and⭐

The constant is 2 because it goes up by 2 everytime.

I need help asap quick

Answers

I THINK its 0.4... I could be wrong

32 students make up 100% of the class, what would the percentage be for 3 students

Answers

Answer:

Step-by-step explanation:

32=100%

3=3/32 x 100%

=300/32%

=9 3/8%

The percentage to be for 3 students if 32 students make up 100% of the class is 9.375%.

What is percentage?

A percentage, often known as percent, is a division by 100. Percentage, which means "per 100," designates a portion of a total sum.

Given:

32 students make up 100% of the class

Calculate the percentage of one student,

1 student = 100 / 32 = 3.125 %

Calculate the percentage of 3 students

3 students =  3.125 × 3 = 9.375%

Therefore, the percentage to be for 3 students if 32 students make up 100% of the class is 9.375%.

To know more about percentages:

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What is the slope-intercept equation of the line below?



A. y=-2x-1
B. y= 2x+1
C. y = 2x-1
D. y=-2x+1

Answers

Answer:

S

Step-by-step explanation:

slope is- and y-intercept is -1

y=-mx-1

A

Answer: A. y=-2x-1

Step-by-step explanation: took the quiz and got it right.

Does anyone know the answer to this math question please help

Answers

Answer:

y= − 5 x ^2 − 40 x − 78

Step-by-step explanation:

Write in standard form.


convert degrees to radians

Answers

1. 15°= 15π÷180 = π÷12

2. 40° = 40π÷180 = 2π÷9

3. 65°= 65π÷180 = 13π÷36

4. 21°= 21π÷180= 7π÷60

5. 81°= 81π÷180 = 9π÷20

Find the common ratio and the three terms in the sequence after the last one given. -4, 16, -64, 256, …

Answers

Answer:

The ratio of all the adjacent terms is the same and equal to

[tex]r=-4[/tex]

The next three terms after the last one will be:

[tex]a_5=-1024[/tex][tex]a_6=4096[/tex][tex]a_7=-16384[/tex]

Step-by-step explanation:

Given the sequence

-4, 16, -64, 256, …

Finding the common ratio

An arithmetic sequence has a constant ratio 'r' and is defined by  

[tex]a_n=a_1\cdot r^{n-1}[/tex]

computing the ratios of all the adjacent terms

[tex]\frac{16}{-4}=-4,\:\quad \frac{-64}{16}=-4,\:\quad \frac{256}{-64}=-4[/tex]

The ratio of all the adjacent terms is the same and equal to

[tex]r=-4[/tex]

Finding the next three terms

Given the sequence

-4, 16, -64, 256, …

here

[tex]a_1=-4[/tex]

[tex]r=-4[/tex]

substituting [tex]a_1=-4[/tex] and [tex]r=-4[/tex] in the nth term

[tex]a_n=a_1\cdot r^{n-1}[/tex]

[tex]a_n=-4\left(-4\right)^{n-1}[/tex]

substituting n = 5 to determine the 5th term

[tex]a_5=-4\left(-4\right)^{5-1}[/tex]

[tex]a_5=-4^4\cdot \:4[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]a_5=-4^{1+4}[/tex]

[tex]a_5=-4^5[/tex]

[tex]a_5=-1024[/tex]

substituting n = 6 to determine the 6th term

[tex]a_6=-4\left(-4\right)^{6-1}[/tex]

[tex]a_6=-4\left(-4^5\right)[/tex]

[tex]\mathrm{Apply\:rule}\:-\left(-a\right)=a[/tex]

[tex]a_6=4\cdot \:4^5[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]a_6=4^{1+5}[/tex]

[tex]a_6=4^6[/tex]

[tex]a_6=4096[/tex]

substituting n = 7 to determine the 6th term

[tex]a_7=-4\left(-4\right)^{7-1}[/tex]

[tex]a_7=-4^6\cdot \:4[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]

[tex]a_7=-4^{1+6}[/tex]

[tex]a_7=-4^7[/tex]

[tex]a_7=-16384[/tex]

Therefore, the next three terms after the last one will be:

[tex]a_5=-1024[/tex][tex]a_6=4096[/tex][tex]a_7=-16384[/tex]

A certain manufacturing procedure produces items that have a mean weight of 55 pounds and a standard deviation of 3.2 pounds. With what minimum probability can we assert that the weight of a randomly selected item produced by this procedure is between 45.4 pounds and 64.6 pounds

Answers

Answer:

99,7 %

Step-by-step explanation:

P [  45,4  <  X  <  64,6 ]   ???

P [  45,4  <  X  <  64,6 ]  

for  X = 45,4

z₁  =  ( X - μ₀  ) / σ

z₁  =  45,4  -  55 / 3,2

z₁  =  - 9,6 / 3,2

z₁  =  - 3

And fom z-table we find     P [ X = 45,4 ]  =  0,0013   or  0,13 %

z₂  = ( 64,6  -  55 )/ 3,2

z₂  =  3

And from  z-table we find     P [ X = 64,6 ]  =  0,9987  or  99,87 %

Then

P [  45,4  <  X  <  64,6 ]  =  99,87  - 0,13  =  0,9974    or  99,74 %

Now if we look at the values:

μ₀   -  3*σ       and     μ₀   +  3*σ  

we find    55  -  3*3,2   =  55 - 9,6  = 45,4  and   55 + 9,6  = 64,6

We know according to the empirical rule that  values from μ₀   ±  3*σ  will contains 99,7 % of all values

4 1/2 cups of flour to make 4 fruit cakes how many cups of flour are needed for one fruitcake

Answers

Answer:

1 and 1/8

Step-by-step explanation:

I am pretty sure because I did the math

What value of x is in the solution set of 3(x-4)≥5x+2?​

Answers

Answer: 3x-4 > 5x +2

              -3         -3

-------------------------------------

                    4 > -2 + 2

                    -2         -2

----------------------------------------

                    2     >    2x

                     2            2

----------------------------------------

                   2   >   x

 

Step-by-step explanation:

I don’t think you can get a hold of me

If the jet shown carried 10,000 people in 50 trips, how many people did it carry each trip? The jet carried the same number of people each trip. What basic fact helped you find the answer?

Answers

Answer:

200

Step-by-step explanation:

10,00/50=200

Which problem can be solved using this equation: 9x + 14 = 100

Answers

Answer:

James has 9x cookies he needs 100 he buys 14 more what’s the value of x?

Step-by-step explanation:

Select all the values for that indicate r a positive slope for the line of best fit.

Answers

Answer:

u didn't show any pictures so I can't help u. can u show. pictures or something

If the measure of angle B is 67 degrees, what is the measure of angle C? Explain how you know

Answers

Answer:

If C is a supplementary angle (Adds to B to equal 180 degrees), then C=180-67=113 degrees.

If C is a complementary angle (Adds to B to equal 90 degrees), then C=90-67=23 degrees.

Step-by-step explanation:

Please help it’s 5 times 5 times 5 times 5 times5

Answers

Answer:

625

Step-by-step explanation:

have a great day <3

Answer:

5x5x5x5=625

5x5x5x5= [tex]5^{4}[/tex]

Step-by-step explanation:

6/5 of 7/11 pls help asap

Answers

Answer:0.76

Step-by-step explanation:

.76 this is a step by step question

What is the slope of the line shown below?
1
O A
3
O B. -3
O C. 3
O D.

Answers

Answer:

c 3

Step-by-step explanation:

put the rise (change in y) over run (change in x)

find the difference between the y points: 2 and 8

8 minus 2 is 6, so that's your rise

then find the difference between your x points: 2 and 4

4 minus 2 is 2, so that's your run

rise / run = 6/2, which simplified is just 3

Subtract.
(2x2 + 5) – (4x - 3)
O A. -2x2 + 2
B. 2x2 - 4x + 8
C. 2x2 - 4x + 2
D. -2x2 + 8

Answers

C. Explanation: Five and three are like terms, so we subtract 3 from 5. (We get 5-3=2.) 2x2 and 4x are not like terms, so we keep them the same. 2x2-4x. Then, we add the 2. 2x2 - 4x + 2.

Answer:

The answer c

Step-by-step explanation:

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