if 12 newborn babies are randomly selected, how many different gender sequences are possible?

Answers

Answer 1

Final answer:

The question concerns the different combinations or sequences possible in a group of 12 newborn babies, each of whom could be either male or female. Using the formula 2ⁿ, where n represents the number of babies, we find there are 4096 different gender sequences possible.

Explanation:

This question pertains to combinations, specifically the different combinations of male and female sequences possible with a random selection of 12 newborn babies. When considering gender sequences, we have two possibilities for each newborn, male (M) or female (F).

With 12 newborns, each having two possible genders, we calculate the total gender sequences as 2 raised to the power of 12, based on the rule of the product in probability theory. Therefore, we use the formula 2n, where 'n' is the number of babies. Here, 'n' is 12, so 212 gives us 4096.

So, there are 4096 different gender sequences possible when 12 newborn babies are randomly selected.

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Related Questions

find rhe volume of a cylinder with a diameter of 10 inches and a height of 20 inches

Answers

since the diameter of the cylinder is 10, its radius is half that, or 5, thus

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ -----\\ r=5\\ h=20 \end{cases}\implies V=\pi (5)^2(20)[/tex]

Draw three dimes 1 nickel and 2 pennies. Describe how to count on to find the total value of this group of coins

Answers

Total Value: $0.37

The total value of this group of coins can be found by first counting the value of each type of coin, and then adding them all together. The value of a dime is 10 cents, so if there are three dimes, the total value is 30 cents. The value of a nickel is 5 cents, so if there is one nickel, the total value is 5 cents. The value of a penny is 1 cent so if there are two pennies, the total value is 2 cents. After adding 30 + 5 + 2, the total comes to $0.37.

15+w+(-12)=15-12+w what is the answer

Answers

Hi there!

To solve this problem, we need to simplify.

15 + w - 12 = 15 - 12 + w
3 + w = 3 + w

w = w

So, the answer is undefined, since w is not given.

Hope this helps!

please help me with another problem

Answers

"one" will fill both blanks.

the sum of two numbers is 16 , and there difference is 8. determine the numbers by solving the following systems of equations,using x and y to represent the unknown numbers. x+y= 16
x_y=8

Answers

the answere is 8 because 8x8 = 16 y=x8

Answer:

Step-by-step explanation:

Will someone please do number 4 and 6 for me ?

Answers

4. all for angles need to equal 360
90 +90 + 42 = 222
360-222 = 138
y = 138 degrees
x - 42 degrees

6. x = arctan(8/4) = 63.43 degrees ( round as needed)
y = 16 / tan(63) = 8.15 ( round as needed)

A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip. For how many hours did the trucker travel?

Answers

Divide 583.2 by 48.6 to get your answer, 12 hours.

Answer: The trucker traveled for 12 hours.

Step-by-step explanation:

Given : A trucker traveled an average of 48.6 miles each hour on a 583.2-mile trip.

i.e. Total distance = 583.2 miles

Average speed = 48.6 miles per hour

Using Formula , [tex]\text{Total Time}=\dfrac{\text{Total Distance}}{\text{Average speed}}[/tex]

We have

[tex]\text{Total Time}=\dfrac{583.2}{48.6}\\\\=\dfrac{5832}{486}\\\\=12\text{ hours}[/tex]

Hence, the trucker traveled for 12 hours.

7.7.33

Question Help

The kilopascal is a unit of measure for atmospheric pressure. Suppose the atmospheric air pressure at sea level is about

9898

kilopascals. For every 1000-m increase in altitude, the pressure decreases about

11.411.4%.

What is the approximate pressure at an altitude of

40004000

m?

The pressure at an altitude of

40004000

m is about

nothing

kilopascals.

Answers

we know that

At sea level, the height is 0 and
the pressure is 98 kilopascals

At 1000 ft, the height is 1000 and
the pressure decreases about 11.41%

i(100%-11.41%)/100----> (0.8859)

therefore
1) at 1000 ft--------> the pressure is 98*(0.8859)----------> 86.82 kilopascals
2) at 2000 ft--------> the pressure is 86.82*(0.8859)-------> 76.91 kilopascals
3) at 3000 ft--------> the pressure is 76.91*(0.8859)-------> 68.14 kilopascals
4) at 4000 ft---------> the pressure is 68.14*(0.8859)-------> 60.36 kilopascals

the answer is
The pressure at an altitude of 4000 m is about 60.36 kilopascals

HELP PLEASE!! A warehouse holds 460 boxes. They ship out 65 boxes each week. After how many weeks will they have less than 100 boxes remaining. Write and solve an inequality that can be used to determine how many weeks it will take for the warehouse to have less than 100 boxes.

Answers

Let's first define the variables:
x = number of weeks.
y = number of boxes after x weeks.
We write the inequation that adapts to the problem
y> -65x + 460
For a number less than 100 boxes we have:
100> -65x + 460
We clear x:
65x> -100 + 460
65x> 360
x> (360/65)
x> 5.54
Answer:
it will take more than 5.54 weeks for the warehouse to have less than 100 boxes

Final answer:

To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality 460 - 65w < 100. Solving this inequality gives w > (460 - 100) / 65, meaning it will take more than 6 weeks.

Explanation:

To determine how many weeks it will take for the warehouse to have less than 100 boxes, we can use the inequality:

460 - 65w < 100

Where 'w' represents the number of weeks. To solve this inequality, we can subtract 460 from both sides and then divide by -65, remembering to reverse the inequality symbol when dividing by a negative number. This gives us:

w > (460 - 100) / 65

So, it will take more than 6 weeks for the warehouse to have less than 100 boxes remaining.

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A number w added to 2.3 is more than 18.

Answers

Can be written as
w +2.3 > 18

w + 2.3 > 18

To solve:
w + 2.3 > 18
subtract 2.3 from both sides
w > 15.7

Hope this helps!

what is the volume of a cube with a side length of 5/6 cm

Answers

(5/6) * 3 = 2.5 cm

hope this helps! :)

whats (-2,8) and (-22,8) finding the slope from points

Answers

Since y is a constant, the slope is zero.

The radius of a circle is 4 millimeters. What is the circle's circumference? r=4 mm Use 3.14 for .

Answers

The circumference of the circle is: 25.12 mm.

The Circumference of a CircleCircumference of a circle = 2πr

Given:

radius of circle = 4 mm

π = 3.14

Required:

Circumference of the circle

Thus:

Circumference of the circle = 2×3.14×4

Circumference = 25.12 mm

Therefore, the circumference of the circle is: 25.12 mm.

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The correct answer is the circle's circumference is approximately 25.12 millimeters.

To find the circumference of a circle, one can use the formula:

[tex]\[ C = 2\pi r \][/tex]

where [tex]$ C $[/tex] is the circumference, [tex]$ \pi $ (pi)[/tex] is a mathematical constant approximately equal to 3.14, and [tex]$ r $[/tex] is the radius of the circle.

Given that the radius [tex]$ r $[/tex] is 4 millimeters, we can substitute the values into the formula:

[tex]\[ C = 2 \times 3.14 \times 4 \text{ mm} \][/tex]

Now, we perform the multiplication:

[tex]\[ C = 2 \times 3.14 \times 4 = 25.12 \][/tex]

Taylor baked a cake. Suppose she cut the cake into 8 equal size pieces and 6 people ate all the pieces. Explain how they could have divided the pieces so that everyone ate the same amount of cake.

Answers

she could've cut the cake into 6 pieces so everyone could have an equal slice of cake or she could've cut it into 12 pieces and everyone could have 2 pieces each equally

hope this helps :)

The volume of a cone varies jointly with the area of the base and the height. When the area of the base is 27 cm2 and the height is 6 cm, the volume is 54 cm3. Therefore, the area of the base is _____ cm2 when the height is 12 cm and the volume is 124 cm3.

Answers

[tex]\bf \qquad \qquad \textit{direct proportional variation}\\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad y=kx\impliedby \begin{array}{llll} k=constant\ of\\ \qquad variation \end{array}\\\\ -------------------------------[/tex]

[tex]\bf \textit{\underline{V} varies jointly with \underline{B} and \underline{h}}\qquad V=kBh \\\\\\ \textit{we also know that } \begin{cases} B=27\\ h=6\\ V=54 \end{cases}\implies 54=k(27)(6)\implies \cfrac{54}{(27)(6)}=k \\\\\\ \cfrac{1}{3}=k\qquad therefore\qquad \boxed{V=\cfrac{1}{3}Bh} \\\\\\ \textit{when h = 12, and V = 124, what is \underline{B}?}\qquad 124=\cfrac{1}{3}B(12)[/tex]

Final answer:

The area of the base of a cone can be calculated by using the volume, height, and a constant derived from given values. Applying this formula to the specified conditions, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.

Explanation:

The volume V of a cone can be represented using the formula V = k * B * h, where 'V' is the volume, 'B' is the area of the base, 'h' is the height, and 'k' is a constant proportionality factor. In this case, you are given that the area of the base is 27 cm2, the height is 6 cm, and the volume is 54 cm3. From these values, you can calculate that the constant 'k' is (54/(27*6)) = 0.333. Now, given a volume of 124 cm3 and a height of 12 cm, you can rearrange the equation to solve for the area of the base 'B': B = V/(k*h) = (124/(0.333*12)) = 31 cm2. Therefore, the area of the base when the height is 12 cm and the volume is 124 cm3 is 31 cm2.

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The circumference of a circle is 25.12 miles. What is the circle's diameter? C=25.12 mi Use 3.14 for pi

Answers

The answer to your question is 8mi. I just divide the circumference by pi to find your diameter.

Circumference=2pi*r or
and diameter=2r
in your case, the circumference is 25.12 miles, so we plug it in to the first formula:
25.12=2pi*r
12.56=3.14*r
4=r
and since 2r=diameter, the diameter is 8

If the Federal Reserve decreases the reserve rate from 5% to 2.5%, how does this affect the amount of money that would result because of fractional-reserve banking from an initial deposit into a bank of $35,000? A. It incraeses the amount by 1,400,000 B.It decreases the amount by 1,400,000 C.It decreases the amount by 700,000 D. It increases the amount by 700,000

Answers

The money in circulation is inversely proportional to the reserve rate, so changes from
.. 35000/5% = 700,000
to
.. 35000/2.5% = 1,400,000.

It increases the amount by 700,000, corresponding to the 4th selection.

three lots of three make

Answers

3 lots of 3 make 9 use a calculator

What term describes the set of all possible output values for a function?
A. Output
B. Input
C. Range
D. Domain

Answers

Hello,

The answer is option D domain.

Reason:

The answer is option D because Domains are used to find the outputs for a function. Its not input because inputs are usually used to help find the function. Its also not C because range is used to find the median, mean etc... of a group of numbers (which is not a function).

If you need anymore help feel free to ask me!

Hope this helps!

~Nonportrit

Answer:

The answer is option C !!

Step-by-step explanation:

What is the lcm of 45 and 54?

Answers

LCM(45, 54) = 45*54/GCD(45, 54)
= 45*54/9
= 270

The least common multiplie is 270.

270 is the com of 45 and 54

What are the roots of the polynomial equation?

x^2−14x−32=0

Enter your answers in the boxes.

Answers

the roots are ; 16, - 2

the answer ............

Answers

f(0) = 2
g(0) = 2

1. f(g(0)) = f(2) = 0

2. h(f(0)) = h(2) = 2² -3 = 1

3. h(g(0) +1) = h(2 +1) = h(3) = 3² -3 = 6

Find the dimensions of the open rectangular box of maximum volume that can be made from a sheet of cardboard 1515 in. by 99 in. by cutting congruent squares from the corners and folding up the sides. Then find the volume.

Answers

Hello,
Please, see the attached files.
Thanks

true or false one quart is greater than 40 fluid ounces

Answers

True.
One quart is equal to 32 standard US fluid ounces

there is 32 ounces in one quart.
So, 40 fluid ounces is greater than one quart.

8. The triangles below are similar. State the following:
1.The similarity ratio
2.Theorem to justify similarity (ex. SSS, SAS, AAA etc)
3.A similarity statement for the two triangles.

Answers

1. Similarity ratio: ΔMON : ΔJOK = 4 : 3

2. Theorem to justify similarity: SAS.
.. MO = 4/3 JO
.. ∠O = ∠O
.. NO = 4/3 KO

3. Similarity statement: ΔMON ~ ΔJOK by SAS.

t=sqrt(2h-40t/g) I'm not sure where to even start on this one.

Answers

[tex]\bf T=\sqrt{\cfrac{2h-40t}{g}}\impliedby \textit{then we square both sides} \\\\\\ T^2=\left( \sqrt{\cfrac{2h-40t}{g}} \right)^2\implies T^2=\cfrac{2h-40t}{g}\implies gT^2=20h-40t \\\\\\ gT^2+40t=20h\implies \cfrac{gT^2+40t}{20}=h[/tex]

steven needs to purchase enough wallpaper to cover a wall measuring 84 square feet. if the width is 5 feet more than the length, what are the dimensions of the wall?

Answers

84 by 89 feet squared

how do you change 87/9 into a mixed number

Answers

Divide 87 by 9 ! You'll get 9, with a remainder of 6/9 or 2/3. So the mixed number is 9 2/3.

Divide 87 by 9 and put remainder in fraction form - 9 6/9 which reduces to 9 2/3

you sure answer for number 9 to calculate how much money mr. and mrs. J make per week there 52 weeks per year the answer I came up with for the first one was $82,796

Answers

Assuming there on the ($40.798) there is a decimal instead of a comma. So that states Mrs. Jay with ($41,998) Plus Mr. Jay with ($40.798) Just simply add these two numbers together and you get the answer of

How much do they make together? Correct answer equals - (42038.798) is how much money Mr. and Mrs. Jay make together!

Hope this helps.
Have a great day!

x+2y=6
2x+4y=12

I need to use substitution to solve, may anybody help?

Answers

[tex]x + 2y = 6[/tex]

[tex]x = - 2y + 6[/tex]
[tex]2( - 2y + 6) + 4y = 12[/tex]
then find y and plug that y value into one of the original equations to find x

Hope this helps!

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