a bag contains 4 red marbles, 6 blue marbles and 5 green marbles. if three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?

Answer:

there are 40% black ball a

white ball we don't know

so, we let = x

40\100 × x

now we cutting

ans is 10x

The return on a mutual fund, time to completion of a task and the volume of beer sold as 16 ounces are the examples of continuous variables.

Discrete and continuous variables are the two categories into which they fall in mathematics.

A continuous variable is a variable that can take either an infinite or an uncountable number of values. For example, if a variable is continuous throughout a non-empty range of real numbers, it can take on any value within that range. As a result, it is argued that the set of real numbers between x and y, where x, y R, and x y, is uncountable and infinite.

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The equation which can be used to find c is (D) 4(9 - c) = 2(9 + c).

To find the equation which can be used to find c:

Therefore, the equation which can be used to find c is (D) 4(9-c)=2(9+c).

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The correct question is given below:
A boat has a speed of 9 miles per hour in calm water. it takes the boat 4 hours to travel upstream but only 2 hours to travel the same distance downstream. which equation can be used to find c, the speed of the current in miles per hour?

(A) 2(9 - c) = 4(9 + c)

(B) 9 + c = 4(9 - c)

(C) 9 - c = 2(9 + c)

(D) 4(9 - c) = 2(9 + c)

Answer:

D

Step-by-step explanation:

The stream function, denoted by ψ, can be determined from the velocity potential, denoted by ф, by taking the partial derivatives with respect to the coordinates. In this case, the velocity potential is given as ф = \(3xy^2 - x^3\). To find the stream function, we will calculate the partial derivatives and rearrange the equations.

The stream function, denoted by ψ, is related to the velocity potential through the following equations:

ψ_x = -ф_y   and   ψ_y = ф_x

Taking the partial derivative of ф with respect to y, we have:

ф_y = \(3x(2y) - 0 = 6xy\)

Equating this to -ψ_x, we get:

-ψ_x = \(6xy\)

Integrating this equation with respect to x yields:

ψ = \(-3xy^2 + g(y)\)

Here, g(y) represents an arbitrary function of y that arises due to the integration process.

Similarly, taking the partial derivative of ф with respect to x, we have:

ф_x = \(3y^2 - 3x^2\)

Equating this to ψ_y, we get:

ψ_y = \(3y^2 - 3x^2\)

Integrating this equation with respect to y yields:

ψ = \(y^3 - 3xy^2 + f(x)\)

Here, f(x) represents an arbitrary function of x.

Combining the two expressions for ψ, we have:

ψ = \(-3xy^2 + g(y) = y^3 - 3xy^2 + f(x)\)

Since g(y) and f(x) are arbitrary functions, we can set them to zero.

Therefore, the stream function for the given flow field is:

ψ = \(y^3 - 3xy^2\)

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Using the concepts of probability, we got that  0.063 is the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time

We know very well that probability is defined as the fraction of number of favorable outcomes to the total number of outcomes.

Here, we are rolling a 6-faced dice.

Getting 3 on the top face of dice is same as the any number getting from 1 to 6 on the top face of the dice.

So, every number has equal probability to come on the top face,  therefore the probability of getting 3 on the top face of dice is (1/6)

Now, similarly total number of marbles in the bag=6 blue +3 black+8 orange marble=17 marbles.

Now, picking one marble from 17 marble is can be done in \(^1^7C_1\)  ways, similarly  choosing 1 blue marble from 6 marble can be done in \(^6C_1\) ways.

So, probability of picking 1 blue marble randomly=6/17

Now, the probability of picking 1 blue marble from 17 marbles along with rolling dice probability is given by =(6/17)×(1/6)=(1/17)=0.063

Hence, the probability of picking a blue marble randomly out of a bag of 6 blue marbles, 3 black marbles, and 8 orange marbles while rolling a 3 on a 6-sided dice at the same time is 0.063

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Explanation:

The expression 7^(-2)*7^6 simplifies to 7^4

We use the rule a^b*a^c = a^(b+c). In this case a = 7, b = -2, c = 6

In short, we add the exponents.

----------

In choice A, we use the rule (a^b)/(a^c) = a^(b-c) where we're now subtracting the exponents.

Here we have the exponents subtract to b-c = 2-(-2) = 2+2 = 4. This shows that (7^2)/(7^(-2)) = 7^4

This is why choice A is one equivalent expression.

----------

Choice D is the other equivalent expression since

(7^2)^2 = 7^(2*2) = 7^4

The rule used here is (a^b)^c = a^(b*c). We're multiplying exponents now.

-----------

Alternatively you can find that 7^(-2)*7^6 = 2401 through use of a calculator.

Then go through each answer choice to see which also produce a result of 2401.

Answer:

343cm³

Step-by-step explanation:

294:6=49

square root of 49=7

7³= 343cm³

Answer: Choice B

\((6\sqrt{5}+5)i\)

==========================================================

Work Shown:

\(\sqrt{-5}+\sqrt{-25}+\sqrt{-125}\\\\\sqrt{-1*5}+\sqrt{-1*25}+\sqrt{-1*25*5}\\\\\sqrt{-1}*\sqrt{5}+\sqrt{-1}*\sqrt{25}+\sqrt{-1}*\sqrt{25}*\sqrt{5}\\\\i*\sqrt{5}+i*5+i*5*\sqrt{5}\\\\i*\sqrt{5}+5i+5i*\sqrt{5}\\\\(i\sqrt{5}+5i*\sqrt{5})+5i\\\\(\sqrt{5}+5\sqrt{5})i+5i\\\\(6\sqrt{5})i+5i\\\\(6\sqrt{5}+5)i\\\\\)

This points us to answer choice B

Answer:

Step-by-step explanation:

To compute the magnitude of the cross product |u x v|, we need to know the values of u and v. However, you mentioned that u and v are unit vectors, which means their magnitudes are both equal to 1.

The magnitude of the cross product between two vectors u and v is given by |u x v| = |u| * |v| * sin(theta), where theta is the angle between the two vectors.

In this case, since u and v are unit vectors, their magnitudes are both equal to 1. Additionally, you mentioned that the angle between u and v is π/4.

Therefore, |u x v| = 1 * 1 * sin(π/4) = 1 * 1 * (√2/2) = √2/2.

Hence, the magnitude of the cross product |u x v| is equal to √2/2.

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Answer:

79 degrees

Step-by-step explanation:

180 - 101 = 79

Answer:

2m/3-4n

Step-by-step explanation:

Answer: For all three functions, the direction of fastest increase at the point (1, 1, 1) is the direction of the gradient vector of the function at that point.

For function (a), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2/x³, 2y, 22] = [2, 2, 22].

The direction of this gradient vector is given by the direction in which each of its components is increasing the most rapidly. In this case, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (b), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[4y + 4z, 4x + 4z, 4x + 4y] = [4, 4, 4].

Again, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

For function (c), the gradient vector at (1, 1, 1) is given by the partial derivatives of the function at that point:

[2x, 2y, 2z] = [2, 2, 2].

As before, all three components are increasing at the same rate, so the gradient vector points in the direction of the positive x, y, and z axes.

Therefore, for all three functions, the direction of fastest increase at (1, 1, 1) is the direction of the positive x, y, and z axes.

Step-by-step explanation:

Answer:

5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

5 - 8 ÷ 2 + 4

Step 2: Simplify

a. The middle 99.7% of students between 0.04 and 0.10.
b. The range for the 16% of lowest BACs is 0.06 or below.

c. 2.28% of students have a BAC above 0.09.

To find the range, use the properties of the normal distribution and the given mean (0.07) and standard deviation (0.01).

The middle 99.7% of students between 0.04 and 0.10.

To find the range use the z-score corresponding to the 16th percentile (z ≈ -1).

The range for the 16% of lowest BACs is 0.06 or below.

To find the percentage, find the z-score for 0.09 first.

Approximately 2.28% of students have a BAC above 0.09.

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Answer:

Answer A would be correct

Step-by-step explanation:

:)

The correct statement is :David started at 0 instead of 2

A number line is a horizontal line that has equally spread number increments. The numbers included on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, for example, plotting a point.

Given here: In a number line the interval (-5,5) is marked and 2 to 5 is 3

The right steps are

Add 3 to 2 to obtain the required number as there are 3 spaces between 2 and 5

Thus 2+3=5 which is the required answer

but David addes 2-3=-1 which is incorrect.

Hence, David started at 0 instead of 2

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Classroom objects can be categorized as vertical or horizontal. Examples of vertical objects include doors, bookshelves, and clocks, while horizontal objects include desks, tables, and chairs.

In a classroom, there are many objects that are vertical and horizontal. Here are ten examples of each:

Vertical objects in a classroom:

1. Door                     6. Clock

2. Cabinet               7. Electrical outlets

3. Bookshelf            8. Light switches

4. Whiteboard         9. Window blinds

5. Flagpole             10. Bulletin board

Horizontal objects in a classroom:

1. Desks                  6. Keyboard trays

2. Chairs                 7. Carpet tiles

3. Tables                 8. Ceiling tiles

4. Countertops       9. Whiteboard markers

5. Shelves              10. Paper trays

These are just a few examples of vertical and horizontal objects that can be found in a classroom.

It is important to recognize the different shapes and orientations of objects in our environment, as they can affect the way we perceive and interact with them.

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Answer: 6y+18

Step-by-step explanation:

6 x y=6y  

6 x 3= 18

Answer:

The product of a constant factor of six and a factor with the sum of two terms.

Step-by-step explanation:

Since we have given that

6(y+3)

It has sum of two terms i.e. y and 3.

Mathematically, it is expressed as

y+3

And the product of constant factor of six and a factor with the sum of two terms.

Mathematically, it is expressed as

6(y+3)

Hence, The product of a constant factor of six and a factor with the sum of two terms.

Answer:

p = -3

Step-by-step explanation:

-2 = p - 1

+1       +1

-1 = p

Answer:

Look in the explanation

Step-by-step explanation:

Add 1 to each side

-2+1=p-1+1

-1=p

p=-1

Answer:

-5

Step-by-step explanation:

-5--20

=-5+20

=20-5

=15

Answer:

divide the 3x by the 6

Step-by-step explanation:

hdududhr

Answer:

3(x-2)

Step-by-step explanation:

hope i helped <3 :P

Answer:

There are 4 prime numbers from 45 to 65:

47, 53, 59, 61

Please mark as brainliest if answer right

Have a great day, be safe and healthy  

Thank u  

XD

Answer:

a

Step-by-step explanation:

Answer:

The cost of each glass is $3.

Step-by-step explanation:

If you set this up as an equation it would look like this:

Key: x=Number of glasses

8x = 24

/8    /8

x = 3

Hope this helps!

Answer:

$3 each

Step-by-step explanation:

24 divided by 8 is 3, therefore the drinking glasses are $3 each.

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.

Same with 19.37 and 21.63, it adds up to 40.00

The answer to all of this would be 101.00

Answer:

-4

Step-by-step explanation:

Answer:

Step-by-step explanation:

The slope formula states that the slope of the line between two points (x1,y1) and (x2,y2) is given by

m=y2−y1x2−x1

If we let (0,−9) be point 1, and (−5,−1) be point 2, then

x1x2=0=−5y1y2=−9=−1

Substituting these values into the slope equation and simplifying gives

m=y2−y1x2−x1=−1−(−9)−5−0=8−5=−8/5

Answer:

4\(\sqrt{3}\)

Step-by-step explanation:

\(\sqrt{48}\) is not in simplest form, however, 48 contains a perfect square as a factor, that is 16 × 3

using the rule of radicals

\(\sqrt{ab}\) ⇔ \(\sqrt{a}\) × \(\sqrt{b}\) , then

\(\sqrt{48}\)

= \(\sqrt{16(3)}\)

= \(\sqrt{16}\) × \(\sqrt{3}\)

= 4\(\sqrt{3}\) ← in simplest form

a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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