Assume there is a 50% chance of having a boy. Find the probability of
exactly two boys in three births.

Answers

Answer 1

Answer:

0.375

Step-by-step explanation:

Given that there is 50% chance of having a boy in a single birth.

Let it be represented by p, so

p=50%=0.5

According to Bernoulli's theorem, the probability of exactly r success in n trials is

[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]

where p is the probability of success.

So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is

[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]

As p=0.5, so

[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]

=0.375

Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.


Related Questions

hii I really need help!!
sorry if it’s kinda long lol.

question:

Sonia has two packages of hamburger meat. The first package weighs 1.76 pounds and the second package weighs 2.29 pounds. She mixed the two packages together and forms hamburgers that weigh 0.25 pounds each. What is the greatest number of 0.25-pound hamburgers Sonia can make using the hamburger meat she has?

Answers

Answer:

16

Step-by-step explanation:

2.29+1.76=4.05

4.05/0.25=16.2

round down to 16

you would have a little extra but you would only be able to make 16 .25 pound ones

The area of an isosceles triangle is 49 square inches. The perimeter of the triangle is?

Answers

I wanna say the answer is 147 but don’t quote me

Answer:7

Step-by-step explanation:

iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiihi

Answers

Do _____ times ______

Answer:

HIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII

Step-by-step explanation:

how are you


Apply the distributive property using the greatest common factor to write an equivalent expression.
Enter your answers in the boxes.
0.3x – 2.7 =T0-0)

Answers

Step-by-step explanation:

0.3x = (0.3)(x).

2.7 = (0.3)(9).

Between the 2 terms, the GCF is 0.3.

Hence,

0.3x - 2.7

= (0.3)(x) - (0.3)(9)

= 0.3(x - 9).

1.
(2x3 - 5x2 + 3x + 7) = (x - 2)
a) 2x3 - x2 + x + 9
b) 2x2-x+1
C) 2x2 - x + 1 + 9/x-2
d) 2x2_9x - 15 - 23/x-2

Answers

The correct answer is b

Please help! Will mark brainliest!

Answers

Answer:

2

Step-by-step explanation:

A Web music store offers two versions of a popular song. The size of the standard version is 2.8 megabytes (MB). The size of the high-quality version is 4.1
MB. Yesterday, there were 1600 downloads of the song, for a total download size of 5624 MB. How many downloads of the high-quality version were
there?
Number of high-quality version downloads:

Answers

Answer:

Number of high quality version downloads = 880

Step-by-step explanation:

Let,

x be the number of standard version songs downloaded

y be the number of high quality version songs downloaded

According to given statement,

x+y=1600        Eqn 1

2.8x+4.1y=5624     Eqn 2

Multiplying Eqn 1 by 2.8 to eliminate x

2.8(x+y=1600)

2.8x+2.8y=4480     Eqn 3

Subtracting Eqn 3 from Eqn 2

(2.8x+4.1y)-(2.8x+2.8y)=5624-4480

2.8x+4.1y-2.8x-2.8y=1144

1.3y=1144

Dividing both sides by 1.3

[tex]\frac{1.3y}{1.3}=\frac{1144}{1.3}\\y=880[/tex]

Hence,

Number of high quality version downloads = 880

HELLLPP PLLS
The Graph shows the total?!

Answers

i sat 35 hrs cause umm it looks like the most reasonable

Analyze the student’s work. Is the answer correct? Explain.

Ik its not B

Answers

Answer:

im not 100 percent sure but i think he right

Step-by-step explanation:

Answer:

A: No, the student should have added 3 + 4 to get the total number of sections, and used the fraction 3/7

Step-by-step explanation:

Edge 2022

Ray Barbee, a radio announcer, is single, earns $300.74 weekly, and claims 2 allowances.​

Answers

The amount withheld from Ray's weekly earning  as Federal income tax after claiming two allowances and being single is $12.

The solution to the problem only requires checking the weekly payroll period for singles and locating the information given in other to obtain the amount to be witheld.

Ray's weekly earning falls in the $300 - $310 income category, Under the column where allowance is 2, the amount withheld based on these conditions is $12.

Therefore, the Federal income tax withheld from Ray's weekly earning is $12.

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A dog kennel charges $40 to board a dog for one night and $35 per night each night after that. Henry
paid a total of $215 for dog boarding. For how many nights did Henry board his dog?

Answers

Answer: 6 nights

Step-by-step explanation:Step-by-step

Minus 40 from 215 then divide it by 35

IF YOU ANSWER YOU ARE THE BEST

Answers

Answer:

yellow

Step-by-step explanation:

im not sure what its asking so im guessing what the point is

the third option hope this helps have a nice day

please i need an answer ASAP!!

Answers

They are both 53 degrees
180 minus 127 is 53 so c would be 53 and because of that one theorem b would be 53 as well

1. John’s age is three times that of his sister. When you add John’s age to his sister's age, you get 36. How old are John and his sister?
(a) Write an equation that represents the situation. (1 point)
(b) Solve the equation from Part (a). Show your work. (3 points)

Answer:
Part A: Write an equation.
If the present age is y, then n times the present age = ny.
If the present age is x, then age n years later/hence = x + n.
If the present age is x, then age n years ago = x – n.
The ages in a ratio a: b will be ax and bx.


Part B: Solve the equation.

John’s age =


John’s sister’s age =

Answers

Answer:

sister = 6 years

John=18 years

Step-by-step explanation:

A(S) + 12 = 3 * A(S), subtracting A(S) from both sides one gets 12 = 2 * A(S). Now dividing both sides by 2 we get A(S) = 12/2 = 6 . Therefore, the age of the sister is 6 years when her brother John is three times as old, that is 18 years.

Answer:

36-x=y

y*3=x

x+y=36

Step-by-step explanation:

I wasnt really sure how to write the equation the way you're supposesd to?

John is 27 and his sister is 9. 9*3=27

I just used guess and check sorry

You want to go on a swamp tour. How long does it take a swamp vehicle that travels at at 3.2 miles per hour to travel across the swamp, from point Z to point Y


AND ACTUALLY ANSWER

Thanks

Answers

The time it will take a vehicle that travels at at 3.2 miles per hour to travel across the swamp, from point Z to point Y is; t = 18 minutes

We can see two main triangles from the image which are;

ΔVWX and ΔYZX

The two triangles are similar and using ratio of similar triangles, we have;

VW/WX = YZ/ZX

Plugging in the relevant values gives;

10/6 = YZ/3

Cross multiply to get;

YZ = 3 * 10/6

YZ = 5 miles

Since speed is given as 3.2 miles per hour and we know that formula for time is;

time = distance * speed

Then; time = 5 * 3.2

time = 16 hours

Read more at; https://brainly.com/question/25400011

Jack's football team scored 3 more field goals (x) than touchdowns (y) in
yesterday's game. Write a linear equation that could represent this situation.
2

Answers

Answer:

Why is his name Jack? lol what about Aron or Liam...something hotter i mean he is a football player.

Step-by-step explanation:

Please help me with the following math question:
Amelia goes to Macy’s and buys a pair of shoes. The shoes are $115.95 on sale for 30% off. What is the total she will pay with 6% sales tax included?

Answers

Answer:

$86.03

Step-by-step explanation:

30% off = 70% of total price. Add .06 to 1 for 6% sales tax.

($115.95*(.70))*1.06

= $86.03

I already have an answer, please clarify the correct answer, thx

Answers

Answer:

ok so y= 25 and x= 27. brainliest pls!

A.45
B.25
C.118
D.93

Answers

Answer: A

Step-by-step explanation:

By the Exterior Angle Theorem, we know that the exterior angle is equal to the sum of the two opposite interior angles.

(2x+3)+25=3x-17          [combine like terms]

2x+28=3x-17                [subtract both sides by 2x]

28=x-17                          [add both sides by 17]

x=45

Now, we know that the answer is A.

covert 12/5 into a mixed number in simplest form

Answers

Answer:

2 2/5

Step-by-step explanation:

Daniel ran 5 kilometers in 40 minutes. Andy ran 4,550 meters in 37 minutes. Who ran faster?
PLEASE GIVE ME EXPLANATION

Answers

Answer:

Daniel

Step-by-step explanation:

Daniel ran 5000/40=500=4=125 meters in 1 minutes

Andy ran 4550/37=122.9729... some less than 123 meters in second

Daniel was faster than Andy

Please help!!!
What is the solution to this equation?
x- 15 =8
OA. X = -7
OB. X = 23
OC. X = 7
OD. X = -23

Answers

Answer:

23

Step-by-step explanation:

X - 15 =8

+ 15 +15

15+8=23

23-15=8

X =23

Which equation is NOT written in slope-intercept form?

Answers

Answer and Explanation

__________________________________________________________

B) 2x - 5 = 2y + 14

__________________________________________________________

slope intercept form: y = mx + b

__________________________________________________________

B) 2x - 5 = 2y + 14 is the only answer choice that does not isolate y, and place all other terms on the other side; therefore, is your answer.

__________________________________________________________

Hope this helps! <3

__________________________________________________________

SOMEONE PLEASE HELP ME WITH THIS!!!!! ITS GEOMETRY

Answers

Answer:

KG = 7 (A)

m KIH = 28 (B)

m JIH = 96 (D)

m HKI = 68 (B)

m KJI = 84 (C)

Step-by-step explanation:

Notice that the triangle HKJ is identical to HIJ. Since there are lines drawn to each other and both triangles are identical, the lines KG and GI are the same. This means that it is 7.

The triangle KGJ is identical with IGH. Using the recognise angle property, we know that angle JKI is the same as KHI. This means that it is 28.

Angle JIH is the same as angle JKH. Since JKH is 180 - (KHI or 84), we know that the angle JIH is 96.

We can find angle HKI by subtracting 96 by 28 because we know that angle HKI is the same as JIH. This gives us 96-2 8 = 68.

Angle KJI is the same as KHI which is 84. Therefore, KJI is also 84.

Please Answer the 3 questions in the picture

Answers

1.Proportional reasoning compares ratios to answer questions. We can use proportional reasoning to solve some questions directly, such as which size of laundry detergent is the cheapest per load, or what the dimensions of the model car should be.

3.The question is how many ways

There are as a many ways to solve a math problem as you can think of.(Some are shorter or easier than others.)

Essentially, an innfinite number.

sorry I have no idea other questions

Find the area of this semi-circle with radius,
r
= 61cm.
Give your answer rounded to 1 DP.

Answers

Answer:

692.7cm²

Step-by-step explanation:

A = πr²/2 = 220.5 * π [cm²] ≈ 692.72 [cm²]

In the evening, the golf course discounts a round of golf by 35%. What percent of the normal price do you pay if you play in the evening?

Answers

Answer:

65%

Step-by-step explanation:

100 = 35 = 65

Solve 5/2 x > 5. Graph the solution.

Answers

Answer:

x > 2

see photo

A restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. How many eggs does each 5-layer rack hold?

Answers

Answer:

The answer is 125 eggs.

The total number of eggs required will be 125.

What is an expression?

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that a restaurant keeps eggs in a rack that has 5 layers. Each layer has 5 rows, with 5 eggs in each row. The number of eggs will be calculated as:-

Number of eggs = 5 x 5 x 5

Number of eggs = 125

Therefore, the total number of eggs required will be 125.

To know more about an expression follow

https://brainly.com/question/3188652

#SPJ2

The table below shows the population of different duck species at a local pond. Which term best describes the total number of Mallards in the pond?

Duck Pond Samples
Sample 1
Sample 2
Mallard
13
Mallard
12
Wood Duck
4
Wood Duck
2
Green Wing Teal
6
Green Wing Teal
6
American Widgeon
2
American Widgeon
5
Mallard population
duck population
proportion of Mallards
sample of Mallards

Answers

Answer:

A

Step-by-step explanation:

Answer:

A) Mallard population

Step-by-step explanation:

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