For small particles such as atoms and subatomic particles, quantum mechanics produces more accurate results than classical mechanics. As the particle size decreases, the differences between classical and quantum mechanical results become more pronounced.
The particle in an infinite square well potential is treated as a point particle with well-defined position and momentum in classical mechanics. The classical solution to the infinite square well problem involves a particle bouncing back and forth between the well's walls, its energy being provided by the kinetic energy associated with its motion inside the well.
In quantum mechanics, on the other hand, the particle in an infinite square well potential is treated as a wave function that solves the Schrödinger equation. The probability distribution of the particle's position and momentum inside the well is described by the wave function. The allowed energy levels of the particle are quantized and can be calculated using the problem's boundary conditions.
The following formula gives the classical result for a particle's energy in an infinite square well potential:
[tex]n2*h2/(8ma2) = E n[/tex]
where n is an integer, h is Planck's constant, and m is the particle's mass. According to this formula, energy levels are continuous and can take any value.
The quantum mechanical result for a particle's energy in an infinite square well potential, on the other hand, is given by the formula:
[tex]E n = (n2 * pi2 * h2) / (2ma2).[/tex]
n must be a positive integer. According to this formula, energy levels are quantized and can only take on discrete values.
As a result, the classical result for the energy of a particle in an infinite square well potential differs greatly from the quantum mechanical result. The classical result predicts continuous energy levels, whereas the quantum mechanical result predicts quantized energy levels.
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Use the Pythagorean Theorem to find the distance between points F and C.
A. 2 √3
B. √41
C. 4 √3
D. 3 √5
On a test that has a normal distribution, a score of 34 falls two standard deviations above the mean, and a score of 22 falls one standard deviation below the mean. Determine the mean of this test.
The mean of this data set is 65.
What is the mean absolute deviation?The average distance between each data item and the mean is known as the mean absolute deviation.
The gap between each data value and the mean in absolute terms is represented by this average.
Let the mean be 'x' and the standard deviation be 'y'
3 standard deviations the mean means that we are taking away 3 standard deviations from the mean
Mathematically, we have that as;
x - 3y = 41...(i)
73 is 1 standard deviation above the mean
Mathematically;
x + y = 73...(ii)
So let us solve both equations simultaneously
Simply multiply equation (ii) by 3 then add to (i)
x - 3y = 41
3x + 3y =219
4x = 41 + 219
4x = 260
x = 260/4
x = 65.
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Answer: 26
Step-by-step explanation:
The key on a stem-and-leaf plot shows that 1|9 represents 19. How would the number 402 be represented?
The number 402 would be represented as 4|02.A stem-and-leaf plot is a graphical representation of a data set that is used to show its distribution.
The number 402 would be represented as 4|02. A stem-and-leaf plot is a way of organizing data into numerical order. It separates the numbers into two parts, the stem, which is the first digit or digits, and the leaf, which is the last digit or digits. The stem is listed on the left side and the leaf is listed on the right side. In this case, the stem would be 4 and the leaf would be 02, so the number 402 would be represented as 4|02.
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Answer:4l02
Step-by-step explanation: mark me brainiest ;]
The Lupines, a family of werewolves, are heading off for a vacation in the woods of Transylvania. Uncle Harry Lupine has rented a total of 12 horror movie videos and gory games on CDs to amuse the kids, Freddy and Lenore, on the trip. The kids want to know how many games and movies they have. Uncle Harry wants Freddy and Lenore to do some math on the trip, so he tells them, "Games rent for $4. 50 each and movies for $3. 99 each. The total was $49. 92 before tax. Now you can figure out the answer. "
Uncle Harry rented 4 games, and using that he also rented 8 movies.Therefore, the Lupine family has 8 horror movies and 4 gory games for their vacation.
What is word problem?
A word problem is a type of mathematical problem that is presented using words instead of or in addition to mathematical symbols and equations. Word problems often describe a real-world scenario or situation, and they require the solver to use math skills and critical thinking to identify the relevant information, determine the mathematical operation or operations required, and arrive at a solution to the problem.
Let's assume that the number of movies Uncle Harry rented is "m" and the number of games is "g". We want to find the values of "m" and "g".
From the problem statement, we know that:
The total number of movies and games rented is 12: m + g = 12
The cost of each movie is $3.99: 3.99m
The cost of each game is $4.50: 4.5g
The total cost before tax is $49.92: 3.99m + 4.5g = 49.92
We can use the first equation to express "m" in terms of "g":
m = 12 - g
Substituting this expression for "m" in the second equation, we get:
3.99(12 - g) + 4.5g = 49.92
Expanding the brackets and simplifying, we get:
47.88 - 3.99g + 4.5g = 49.92
0.51g = 2.04
g = 4
So Uncle Harry rented 4 games, and using the first equation, we find that he also rented 8 movies.
Therefore, the Lupine family has 8 horror movies and 4 gory games for their vacation.
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Two large charged plates of charge density ±30�C/m2±30μC/m 2 face each other at a separation of 5.0 mm. (a) Find the electric potential everywhere. (b) An electron is released from rest at the negative plate; with what speed will it strike the positive plate?
(a) Potential on the opposite sides of the positive and negative plates is 8475 V and -8475 V, respectively. (b). 772 m/s is the speed at which the positive plate will be struck.
What is the word for speed in science?A more technical or sophisticated phrase, velocity, is occasionally used interchangeably with speed to refer to extremely high rates of linear or circular speed, such as the velocity of a bullet.
a). Positivplate should be on the right and negativeplate should be on the left.
Potential equals zero at the center of the plates.
Electric field between it plates: 30e⁻⁶/8.85e⁻¹² (338 V/m) = sigma/e0
Potential is equal to 3389830x, where x is the distance in meters from the center of the plates.
Where x is the distance in meters from the center of the plates, the potential to the left of either the middle point equals -3389830x.
Potential outside of the positive plate is equal to 3389830*0.005/2, or 8475 V.
The potential is -8475 V on the contrary side of the negative plate.
Potential between it plates is equal to -8474 + 3389830x, where x is the distance in meters from the negative plates.
b). Electron energy at the positive plate is equal to [8475 - -8475]. eV = 2*8475*1.6e⁻¹⁹ = 2.712*10⁻¹⁵ J
Speed = sqrt(2E/m) = sqrt(2*2.712e-15/9.1e⁻³¹) = 772 meters per second.
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Find the perimeter and area of the rectangle below
Perimeter and area of the rectangle would be 2(10x² + 7xy²) and 70x²y².
What is Perimeter and area?
The perimeter of a shape is the distance around its outside. The space inside a shape is measured by area.
Given the length l = 10x² and width w = 7xy² of a rectangle, the perimeter P and area A can be calculated as follows:
1) Perimeter P:
P = 2(l + w)
= 2(10x² + 7xy²)
2)Area A:
A = l * w
= 10x² * 7xy²
= 70x²y²
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The sum of two numbers is 147 the difference of the two numbers is 25 what are the two number?
The two numbers, then, are 86 and 61.The two numbers can be found by using basic algebra.
The two numbers can be found by using basic algebra. To solve for the two numbers, we can set up two equations, one for the sum and one for the difference. For the sum, we can set up the equation: x + y = 147. For the difference, we can set up the equation: x - y = 25. We can then solve for x by adding y to both sides of the equation for the difference, so x = 25 + y. We can then substitute this value for x in the equation for the sum, so 25 + y + y = 147, or 2y = 122, and y = 61. We can then substitute this value for y in the equation for x, so x = 25 + 61, or x = 86. The two numbers, then, are 86 and 61.
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Write an equation of the line passing through point P(0,
1) that is parallel to the line y =
2x +3.
L
y =
Answer:
y = 2x + 1
Step-by-step explanation:
Parallel lines have the same slope. The slope in the equation y = 2x + 3 is 2. The slope of the parallel equation will be 2 also.
We will use the slope, and the point (0,1) to help us write the new equation.
The y intercept of the parallel line is 1. When x = 0, y is where the line will cross the y axis. So the y intercept is 1
The slope (m) is 2 and the y-intercept (b) is 1.
y = mx + b Substitute 2 for m and 1 for b.
y = 2x + 1
LAST TIME I NEED HELP XD
Answer:
Step-by-step explanation:
no idea. i have a idea!
do it your self
ason has 4 feet of ribbon. He uses 1/3 foot of ribbon to wrap a gift. How many gifts can Jason wrap with the ribbon he has?
answer choices
1/3
1/12
4
12
The number of gifts ason can wrap with the ribbon he has is 12.
Conversions :A quantity that is multiplied or divided between one set of units and another is termed as a conversion factor. If a conversion is required, it must be carried out with the right conversion factor to generate a value that is identical.
To change a value or expression from one form to another.
Now in the given question,
ason wraps a gift using one third of a foot of ribbon.
he has total ribbon of 4 feet.
so, we have the equation,
[tex]\frac{1}{3} x=4\\\\x=12[/tex].
hence, 12 gifts can be wrapped with the ribbon ason has.
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A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.
Does the region form a right triangle? Justify your answer.
Answer: no it does not
Step-by-step explanation: Because 1,007 squared is 1,014,049 and the sum of 911 squared is 829,921 and then 829 squared is 687,241 then add 829,921+687,241=1,517,162 when it should equal 1,014,049 which is the amount of 1,007 squared to make it a right triangle.
The solution is : no, it does not form a right triangle.
What is triangle?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.
here, we have,
given that,
A triangular shaped region has side lengths of 829 miles, 911 miles, and 1,007 miles.
now, we get,
Because 1,007 squared is 1,014,049
and the sum of 911 squared is 829,921
and then 829 squared is 687,241
then add 829,921+687,241=1,517,162
when it should equal 1,014,049
which is the amount of 1,007 squared to make it a right triangle.
as we know that,
in right triangle,
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a^2 + b^2 = c^2.
so, we get,
The solution is : no, it does not form a right triangle.
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find the selling price if
cost price is R720 with a profit of 40%
Answer:
R1008
Step-by-step explanation:
720 X 1.4 = R1008
I used 1.4 because there is a 40 percent profit
Pls answer quickly, make sure to answer all parts
Find the area of the region bounded by the line y =3x -6 and line y=-2x+8 and
a) the x-axis. b) the y-axis. c) the line y=6. d) the line x=5.
On solving the provided question we can say that the equations are y = 3x - 6 and y = -2x + 8
What is equation?A mathematical equatiοn is a fοrmula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the twο sentences οn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbοl, fοr instance, 2x – 4 = 2.
the equations are
y = 3x-6
y = -2x+8
3x - 6 = -2x+8
5x -6 = 8
5x = 14
x = 14/5
Now solve for y:
y = 3(14/5) - 6
y = 42/5 - 6
y=42/5 - 30/5
y = 12/5
The position 12/5 is where these two lines cοnverge. The triangle created by these two lines and the x-axis has a height equal to this.
So that we can identify the triangle's base, let's lοcate the roots of these equations (where they contact the x-axis).
Put a 0 in both equations.
(I) 0 = 3x - 6
6 = 3x
x = 2
Set the second equation equal to 0.
(II) y = -2x+8
2x = 8
x = 8/2
x = 4
The triangle has a base between the numbers (2, 0) and (4, 0), giving it a length of two units.
The triangle has a height of 12/5 units.
Area of a Triangle:
A = 1/2bh
A = (1/2) · (2) · (12/5)
A = 12/5
The region between the x-axis that is enclosed by the lines y = 3x - 6 and y = -2x + 8 has a 12/5 unit area.
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A square pyramid is shown. What is the surface area?
A square based pyramid, with bases labeled 3.5 centimeters and side length of triangle labeled 7 centimeters.
(4 points)
19.25 cm2
30.625 cm2
49.625 cm2
61.25 cm2
Answer:
61.25
Step-by-step explanation:
brainlest pls and I hope this helped u :)
George needs a string that is 4 feet long. So far history is 44 inches. Is it long enough or does he need to make it longer
If so far the George's string is 44 inches long , then his string is not long enough , so he need to make it longer .
To find whether George's string is long enough, we first convert both measurements to same unit of measurement.
that means we convert length of the string in inches to feet by dividing it by 12 ; because there are 12 inches in a feet ;
⇒ (44 inches)/(12 inches/feet)
⇒ 3.67 feet ;
The George's string is currently 3.67 feet long and he needs a string that is 4 feet long .
So , his current string is not long enough and he needs to make it longer. He needs to add another 0.33 feet to his string .
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The given question is incomplete , the complete question i
George needs a string that is 4 feet long. So far his string is 44 inches. Is it long enough or does he need to make it longer ?
Fill in the gap in the equation below by completing the square. x² + 12x +44 = (x + 6)² +
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]x^2+12x+44=(x^2+12x+36)+8=(x+6)^2+8[/tex]
help me please help help
The equation that can be used to find the number of gardens that Kalisa welds is given as follows:
200 + 5.5w = 260.50.
How to construct the equation?Kalisa's earnings are divided as follows:
Mows 8 lawns for $25 each -> total of 25 x 8 = $200.Welds w gardens for $5.5 each -> total of 5.5w.Hence the equation for the total earnings is constructed follows:
T(w) = 200 + 5.5w.
Her total earnings are of $260.50, hence the number of gardens that Kalisa welds is given as follows:
200 + 5.5w = 260.50.
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a square with area is inscribed in a square with area with one vertex of the smaller square on each side of the larger square. a vertex of the smaller square divides a side of the larger square into two segments, one of length , and the other of length . what is the value of ?
The value of is equal to the length of the side of the larger square minus the sum of the lengths of the two segments.
The value of is equal to the length of the side of the larger square minus the sum of the lengths of the two segments. This is because the area of the smaller square inscribed in the larger square is equal to the product of the side lengths of the smaller square. If a vertex of the smaller square is located on the side of the larger square, the side of the larger square is divided into two segments with one segment having length and the other having length . The side length of the larger square is then equal to the sum of the lengths of the two segments plus the side length of the smaller square, which is . Therefore, the side length of the larger square minus the sum of the lengths of the two segments is equal to the side length of the smaller square, or the value of is equal to two segments.
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Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
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math question|| geometry
The length TE in the parallelogram is 11 units
How to determine the length TEFrom the question, we have the following parameters that can be used in our computation:
The parallelogram QRST
The diagonals of parallelogram are equal
Using the above as a guide, we have the following:
QE =SE
Substitute the known values in the above equation, so, we have the following representation
3x + 12 = x + 16
So, we have
2x = 4
Divide
x = 2
Recall that
TE = 6x - 1
So, we have
TE = 6 * 2 - 1
Evaluate
TE = 11
Hence, the lentth is 11 units
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Given 24.8 × 3.5, find the product.
8.68
72.4
75.64
86.8
56% of is 3.92?
0 4
O 5
O 6
O 7
The number of which 3.92 is 56 percent, is 7.
What is percent?A percentage of an object is how many parts of it there are out of 100 equal parts. For example, if you split a shape into 100 parts, 20 of the parts make 20%.
Given that, 3.92 is what number's 56%,
Let the number be x,
Therefore, by the definition of percentage,
56% of x = 3.92
56/100 × x = 3.92
x = 3.92 × 100/56
x = 392/56
x = 7
Hence, the number of which 3.92 is 56 percent, is 7.
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Is it always possible, no matter how the rabbit moves, and no matter what points are reported by the tracking device, for the hunter to choose her moves so that after $10^9$ rounds she can ensure that the distance between her and the rabbit is at most 100?
It is not always possible for the hunter to ensure that the distance between her and the rabbit is at most 100 after $10⁹$ rounds. The distance between the hunter and the rabbit can increase by a factor of 2 in each round, making it impossible for the hunter to catch the rabbit in some scenarios.
It is not always possible for the hunter to ensure that the distance between her and the rabbit is at most 100 after $10⁹$ rounds, regardless of how the rabbit moves or what points are reported by the tracking device. This is because the distance between the hunter and the rabbit can increase by a factor of 2 in each round, which means that after $10⁹$ rounds, the distance between them could be as much as $2⁽¹⁰⁾⁹$ times the initial distance. This value could be much larger than 100, making it impossible for the hunter to catch the rabbit. Therefore, there are scenarios in which the hunter cannot catch the rabbit within $10⁹$ rounds.
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If radius of circle is tripled then area of circle will be increased by
If radius of circle is tripled then area of circle will be increased by:9 times.
If the radius of a circle is tripled, then the new radius is three times the original radius, or R' = 3R, where R is the original radius and R' is the new radius. The area of a circle is given by the formula A = πR^2, where A is the area and R is the radius.
Substituting R' = 3R into the formula for the area of a circle, we get:
A' = πR'^2
= π(3R)^2
= 9πR^2
Therefore, the new area A' is 9 times the original area A. In other words, if the radius of a circle is tripled, the area of the circle will be increased by a factor of 9. This is because the area of a circle is proportional to the square of its radius.
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the distribution of the amount of money undergraduate students spend on books for a term is right-skewed, with a mean of $400 and a standard deviation of $80. in a simple random sample of 100 undergraduate students, what is the expected value of the sample mean amount of money spent on books?
The expected value of the sample mean amount of money spent on books is equal to the population mean, which is $400.
This is a property of the sampling distribution of the sample mean, which states that the mean of all possible sample means is equal to the population mean.
In other words, if we take all possible random samples of size 100 from the population of undergraduate students, and calculate the mean amount of money spent on books for each sample, then the average of all these sample means will be $400.
The expected value of the sample mean amount of money spent on books can be calculated using the formula:
E(X) = μ
where X is the sample mean, and μ is the population mean.
In this case, the population mean is given as $400. Therefore, the expected value of the sample mean amount of money spent on books is also $400.
However, we can also calculate the standard error of the mean (SE) to get a measure of the variability of the sample mean. The formula for SE is:
[tex]SE = σ / sqrt(n)[/tex]
where σ is the population standard deviation, and n is the sample size.
Substituting the values, we get:
[tex]SE = 80 / sqrt(100) = 8[/tex]
This property is true regardless of the sample size, as long as the sample is randomly selected and independent. However, as the sample size increases, the sampling distribution of the sample mean becomes more normal and the standard error of the mean decreases, making the sample mean a more precise estimate of the population mean.
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The blood pressure in millimeters was measured for a large sample of people. The average pressure is 140 mm, and the SD of the measurements is 20 mm. The histogram looks reasonably like a normal curve. Use the normal curve to estimate the following percentages. Choose the answer that is closest to being correct.
a. 10.6%
b. 89.4%
c. 39.4%
d. 78.8%
e. 68.27%
Using the normal curve to estimate the following percentages. The answer that is closes to being correct is 39.4%. So, the correct answer is C.
Since the distribution is approximately normal, we can use the empirical rule (also known as the 68-95-99.7 rule) to estimate the percentages.
a. 10.6%: This corresponds to the area under the curve that is more than 2 standard deviations below the mean. Using the rule, we know that about 2.5% of the area under the curve is more than 2 standard deviations below the mean. So 10.6% is too high. The answer is not a.
b. 89.4%: This corresponds to the area under the curve that is less than one standard deviation above the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 89.4% is too high. The answer is not b.
c. 39.4%: This corresponds to the area under the curve that is within one standard deviation of the mean. Using the rule, we know that about 68% of the area under the curve is within one standard deviation of the mean. So 39.4% is the closest to being correct. The answer is c.
d. 78.8%: This corresponds to the area under the curve that is less than two standard deviations above the mean. Using the rule, we know that about 95% of the area under the curve is within two standard deviations of the mean. So 78.8% is too high. The answer is not d.
e. 68.27%: This corresponds to the area under the curve that is within one standard deviation of the mean. This is the same as c. So e is not the correct answer.
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A cardboard box in the shape of a rectangular prism has the
dimensions shown.
a. Write a polynomial that represents the volume of the box.
b. The volume of the box is 60 cubic inches. What are the
length, width, and height of the box?
On solving the provided question, we can say that Volume of cuboid - L X B X H=> volume = (x+6)*(x-2)*(x-1) => [tex]V = x^3 + 3x^2 - 16x + 12[/tex]
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
The dimensions are:
Length =(x + 6), Width = (x - 2) and Height = (x -1)
Volume of cuboid - L X B X H
volume = (x+6)*(x-2)*(x-1)
[tex]V = (x+6)(x^2 - 3x +2)[/tex]
[tex]V = x^3 - 3x^2 + 2x + 6x^2 - 18x + 12[/tex]
[tex]V = x^3 + 3x^2 - 16x + 12[/tex]
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You deposit $200 each month into an account earning 1.25% interest compounded monthly.
How much will you have in the account in 20 years?
How much total money will you put into the account?
How much total interest will you earn?
Answer:
Step-by-step explanation:
The interest rate of 1.25% compounded monthly means that the interest earned each month is 1.25% of the current balance. Here's how you can calculate the final balance in the account after 20 years:
First, calculate the interest earned each month: $200 * 1.25% = $2.50
Then, add the interest earned to the monthly deposit to get the new balance: $200 + $2.50 = $202.50
Repeat this process for 240 months (20 years x 12 months/year).
The final balance in the account after 20 years would be approximately $71,934.24.
To find the total money you will put into the account, simply multiply the monthly deposit by the number of months: $200 * 240 = $48,000.
To find the total interest earned, subtract the initial deposit from the final balance: $71,934.24 - $48,000 = $23,934.24
So, in 20 years, you will have put a total of $48,000 into the account, and you will have earned a total of $23,934.24 in interest.
Pls show your work thank you will mark the Brainliest
Answer:
second option
Step-by-step explanation:
an exponential function modelling the situation has the form
y = a [tex](b)^{x}[/tex]
to find a and b use ordered pairs from the table
using (0, 11000 )
11000 = a [tex](b)^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 11000 , so
y = 11000 [tex]b^{x}[/tex]
using (1, 9350 )
9350 = 11000 [tex]b^{1}[/tex] = 11000b ( divide both sides by 11000 )
[tex]\frac{9350}{11000}[/tex] = b
b = 0.85
then exponential function is
y = 11000 [tex](0.85)^{x}[/tex]
a jury of 12 people is selected from a pool 30 people that includes 12 men and 18 women. what is the probability that the jury will be composed of 12 women
The probability of selecting a jury composed of 12 women from a pool of 30 people that includes 12 men and 18 women is extremely low, only 0.0657%.
The probability of an event happening is the measure of how likely that event is to occur.
In this case, we need to find the probability of selecting a jury of 12 women from a pool of 30 people. To calculate this probability, we can use the formula:
Probability = Number of favorable outcomes / Total number of outcomes
The total number of outcomes is the number of ways in which we can select 12 people from a pool of 30. We can calculate this number using the combination formula:
Total number of outcomes = C(30,12) = 30! / (12! * (30-12)!) = 28,238,760
Now, we need to calculate the number of favorable outcomes, which is the number of ways in which we can select 12 women from a pool of 18. We can calculate this number using the combination formula as well:
Number of favorable outcomes = C(18,12) = 18! / (12! * (18-12)!) = 18,564
Therefore, the probability of selecting a jury composed of 12 women is:
Probability = Number of favorable outcomes / Total number of outcomes
Probability = 18,564 / 28,238,760
Probability = 0.000657 or 0.0657%
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