Find the probability that when a couple has five children, at least one of them is a boy. (assume that boys and girls are equally likely.)​

Answers

Answer 1

Answer:

The easiest way to figure this is to find P(no girls in 5 births) = (1/2)^5 = 1/32 -------------- The P(at least one girl in 5 births) = 1 - 1/32 = 31/32

Answer 2

The probability that when they have five children, at least one of them is a boy is 31/32

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome:

The probability that a couple will have a boy or girl among the five children = 1/2

If they gave birth to 5 children:

The probability that when they have five children, at least one of them is a boy = 1 - (1/2)^n where:

n is the total number of children

The probability that when they have five children, at least one of them is a boy = 1 - (1/2)ⁿ

The probability that when they have five children, at least one of them is a boy = 1 - (1/2)⁵

The probability that when they have five children, at least one of them is a boy = 1- 1/32 = 31/32

Hence the probability that when they have five children, at least one of them is a boy is 31/32

Learn more here: https://brainly.com/question/13604758


Related Questions

if anyone know the answers to this question i really need help.

Answers

Answer:

b.) 6

Step-by-step explanation:

2^6 = 64 because 2 * 2 * 2 * 2 * 2 * 2 = 64.

If you throw exactly two heads in three tosses of a coin you win $35. If not, you pay me $25. Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.

Answers

Answer:

the answer is :

25-30=-10

2 cups is to 8 cans as 14 cups is to ___ cans?

Answers

Answer:

56

Step-by-step explanation:

The ratio is 1:4

14 * 4 = 56

Answer: 56

Step-by-step explanation:

8 ÷ 2 = 4 (cans) - it is 1 cup.

14 × 4 = 56 (cans) - it is 14 cups.

A sandwich shop sells 4 veggie subs for every 5 turkey subs. The shop sold 27 subs today. How many of each kind
did they sell?

Answers

Answer:

4+5=9

27÷9=3

they sold 3 types of each because if you do 3×5=15 and 3×4=12 and add 12 and 15 you get 27.

-.25z=-1.25 What is Z?

Answers

Answer:

z=5

Step-by-step explanation:

4x + y=7
2x - 7y=1
If (x,y) is the solution to the given system of equations, what is the Value of X?

Answers

Answer:

[tex]x = \frac{5}{3} [/tex]

What is the height of the triangle with an area of 64 square feet and a base of 8 feet?

Answers

Answer:

8

Step-by-step explanation:

8*8 = 64

b*h = a

Find the missing exponent.
10
100
Submit

Answers

If your trying to turn 10 to 100 with an exponent that’ll be 10 to the 2nd power.

Write a compound statement that results in a true conjunction.

Answers

Answer:

p->q .......................

The amount C in grams of carbon-14 present in a certain substance after t years is given by
C = 52e-0.0001097
a. What is the initial amount of carbon-14 present?

Answers

Answer:

987e-628479.9079083

Step-by-step explanation:

Answer:

maybe 7

Step-by-step explanation:

Can you help me with this if you’re a smart person

Answers

it would be 7.5 have a good day

Which function is shown in the graph below?
10
8
.
.4
0.5, 0.4(1.0)
ᎨᎲᎢ
4
0
8
-2
1-4
1-3
-10

Answers

Answer:

square root function is the correct answer

The solution is,  y = 2 ^ (x + 2) +3, is the function is shown in the graph below.

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

For this case we observe the cut point with the y axis in:

(0, 7)

The function that complies with this is:

y = 2 ^ (x + 2) +3

We have then:

y = 2 ^ (0 + 2) +3

y = 2 ^ (2) +3

y = 4 + 3

y = 7

Answer:

The answer for this case is given by:

y = 2 ^ (x + 2) +3

option 2

Hence, The solution is,  y = 2 ^ (x + 2) +3, is the function is shown in the graph below.

To learn more on graph click:

brainly.com/question/17267403

#SPJ7

B
What does a single point on the plot represent?

Answers

It represents a function
It represents a “fraction”.

IT'S A TIME SENSITIVE EMERGENCY!!!
2. Mai, Clare, and Tyler are hiking from a parking lot to the summit of a mountain. They pass a sign that gives distances. Parking lot: mile Summit: 1 miles Mai says: "We are one third of the way there." Clare says: "We have to go twice as far as we have already gone." Tyler says: "The total hike is three times as long as what we have already gone." Can they all be correct? Explain how you know.​

Answers

Complete question is missing, so i have attached it.

Answer:

Yes, they are all correct

Step-by-step explanation:

From the attached image, we see that the sign is showing;

Parking lot: ¾ miles

Summit: 1½ miles

Summit distance can also be expressed as an improper fraction = 3/2 miles

Now, since they started hiking from the park to the summit, it means that they had moved ¾ mile from the parking lot and had 3/2 miles left to get to the summit.

Thus, total distance from parking lot to summit = ¾ + 3/2 = 9/4 miles

Now, let's analyze each of their statements;

Mai said they are a third of their way there.

They had covered 3/4 mile and the total distance is 9/4 miles.

Thus, fraction of total distance covered is;

9/4 ÷ 3/4 = 1/3.

So, Mai is correct

Clare said they have to go twice as far as they had already gone.

They had covered 3/4 miles.

Therefore, twice this = 2 × 3/4 = 6/4 = 3/2 which is same as the sign distance left to the summit.

Thus, Clare is correct

Tyler said that the total hike is three times as long as what we have already gone.

They had gone 3/4 miles

3 times this = 3 × 3/4 = 9/4 miles.

This tallies with the total distance calculated earlier.

Thus, they are all correct

THIS IS AN ESSAY NOT JUST AN ANSWER
Prompt:
What does it mean to multiply polynomials?
Explain how to multiply (x + 2) (X - 4) as if you're teaching a student a year
younger than you.

Answers

Answer:

We assume before this you have learned how to multiply two monomials and monomial with binomial.

Use the following formula to multiply binomials:

(a + b)(c + d) = ab + ad + bc + bd

Applied to the given expression, we have:

(x + 2)(x - 4), where a = x, b = 2, c = x , d = -4

Expand as indicated above:

(x + 2)(x - 4) =x(x) + x(-4) + 2(x) + 2(-4)

Now simplify

x² - 4x + 2x - 8

Collect like terms, (-4x) and (2x):

x² + (-4x + 2x) - 8 = x² - 2x - 8

This is how you can do same order operations with any binomials.

We can simply use distributive law of grade 1

(a+b)(c+d)=ac+ad+bc+bd

I assume you know multiplication of monomials

So

(x+2)(x-4)x(x-4)+2(x-4)x²-4x+2x-8x²-2x-8

Help please!!!!!!!!!!

Answers

Answer:

6/8,

12/16,

24/32

48/64

96/128

192/256

384/512

Step-by-step explanation:

PLEASE HELP ASAP! thank you!

Answers

The answer to ur question is 5/6

Help please and thanks

Answers

I think is B :)))))))))))
I think It’s B
Hopes this helps

A company has offices in two different countries. Suppose that the average age (in years) of the employees at location A is 40.140.140, point, 1 with a standard deviation of 5.55.55, point, 5, and the average at location B is 36.736.736, point, 7 with a standard deviation of 6.36.36, point, 3.
Every month, the company takes separate random samples of 505050 employees from each location for a survey. Each time, they look at the difference in the mean age sampled from each location \left( \bar{x}_\text{A} - \bar{x}_\text{B} \right)(
x
ˉ

A


x
ˉ

B

)left parenthesis, x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, right parenthesis.
What do we know about the shape of the sampling distribution of \bar{x}_\text{A} - \bar{x}_\text{B}
x
ˉ

A


x
ˉ

B

x, with, \bar, on top, start subscript, start text, A, end text, end subscript, minus, x, with, \bar, on top, start subscript, start text, B, end text, end subscript, and why?

Answers

Answer:

It's approximately normal, because both sample sizes are at least 303030.

Step-by-step explanation:

Khan Academy

Which of the following is the MOST reasonable equation for the line of best fit?

Answers

Answer:

either c or b that's what I think

Im a game with 10 floating ducks,there are 2 ducks with a green dot on the bottom,3with a blue dot and 5 with a red dot.What is the probability of selecting a green duck

Answers

Answer:

2/10 or 1/5

Step-by-step explanation:

There are a total of 10 ducks, and only 2 have green dots.

So the probability would be 2 / 10, which simplifies to 1 / 5.

Greatest common factor of 2 and 10: 2

So: 2 ÷ 2 = 1

10 ÷ 2 = 5

Find the coordinates of the midpoint between the two
points on the graph.

Answers

Answer:

(0,2)

Step-by-step explanation:

Cords are ( 0, 4 ) and ( 4, -4)

x1 + x2 / 2 , y1 +y2/2

0 + 4 / 2 , 4 - 4 / 2

4/2,0/2

(2,0)

It's Friday afternoon and six fraternity brothers at UNC have just attended their last class of the semester. To unwind before the final exam Monday morning, they decide to spend the weekend at the beach. After a weekend of immature, irresponsible behavior, they oversleep Monday morning and miss the final exam. Later that day they go to their professor (who received her Ph.D. from NC State) and explain that they went to the beach and were on the way back for the final exam but their car (a BMW of course) had a flat tire. The professor says that they can come back the next morning and she will give them a make-up final exam consisting of one short-answer question! The students are ecstatic and high-five each other all the way back to the frat house. The next morning the professor puts each student in a different room and hands them their one-question test. The question: Which tire?

Required:
What is the probability that all 6 students will say that the same tire was flat?

Answers

0.024%=0.25^6............

help with geometry question please

Answers

Answer:

Length of parallel side 2 = 2.91 km

Step-by-step explanation:

Given figure is a trapezoid

Given:

Area of trapezoid = 16.3 km²

Length of parallel side 1 = 5.9 km

Height of trapezoid = 3.7 km

Find:

Length of parallel side 2

Computation:

Area of trapezoid = [Sum of parallel side/2]Height

Area of trapezoid = [(a+b)/2]h

[(5.9 + b)/2]3.7 = 16.3

Length of parallel side 2 = 2.91 km

A B C OR D SOMEONE HELP

Answers

Answer:

B

Step-by-step explanation:

Perpendicular lines have slopes that are negative reciprocals. For example. if the slope of a line is 2, the slope of a line perpendicular to it would be [tex]-\frac{1}{2}[/tex]. If the slope of a line [tex]-\frac{1}{3}[/tex], the slope of a line perpendicular to it would be 3.

Negative reciprocals always have a product of -1, since the numerators cancel out and one of the values is negative.

I hope this helps!

Maria is selling knitted hats and scarves at the Craft Market.
• A hat requires 15 minutes to make.
• A scarf requires 30 minutes to make.
• Maria has 300 minutes to make the hats and scarves.
Additionally,
• Maria wants to make no more than 16 items.
• When Maria sells the necklaces and wristbands at the Craft Market, she will make $2.00 profit per hat and $4.00 profit per scarf.
Let x = the number of hats Maria makes.
Let y = the number of scarves Maria makes.

Answers

Answer:

i dont know yet, ill try to figure it out        

The temperature was 6 degrees below 0 (in Fahrenheit) today. Write a signed number to represent this temperature.

Answers

Answer:

hmmmm im thinking

Step-by-step explanation:

Factorise the following.​

Answers

Answer:

iii. (l + m - n)(l - m + n)

vi. (5a -b) ( 5b - a)

Step-by-step explanation:

iii. l² - (m - n)²

= (l + m - n)(l - m + n)

vi. 4(a+b)² - 9(a-b)²

= (2(a+b))² - (3(a-b))²

= (2(a+b) + 3(a-b)) (2(a+b) - 3(a-b))

= (2a+2b + 3a - 3b) (2a+2b - 3a + 3b)

= (5a -b) ( 5b - a)

Q. 1) l²- (m - n)²

=(l - m + n)(l + m - n)

Q.2) 4(a+b)²- 9(a-b)²

= [(2(a+b))²- (3(a-b))²]

=[2(a+b)+3(a-b)][ 2(a+b)-3(a-b)]

=[2a+2b+3a-3b][2a+2b-3a+3b]

=[5a-b][5b-a] ]

Please help I don’t understand

Answers

Is this a multiple choice question? If so what are the options?
My guess is 21

Question 1.:

Which comparison is incorrect?

-3 > -7
-9 > 4
-4 > -6
7 > 5
________________________________

Question 2:

Which group of numbers is listed from least to greatest?

-4, -6, -7, -8, -9
-2, 3, 5, -8, 9
7, 4, -6, -7, -9
-2, -1, 0, 4, 9

Answers

Answer:

-7 is bigger

-9 is bigger

-6 is bigger

7 is bigger

I think.....

-9,-8,-7,-6,-4

-9,-7,-6,4,7

-2-1,0,4,9

-8,-2,3,5,8 ?

I guess I didn't understand the question

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