From a group of 8 , we are choosing 3 How many possible outcomes if order doesn't matters ?

Answer: Mulan= Shan yu

Kuzko= Yzma

Hercules= hades

Step-by-step explanation:

X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y)

Now, According to the question:

Let's Know:

Independent random variable:

Two random variables X and Y are independent if

E(XY) = E(X)E(Y).In case of n random variables the formula is extended as

\(E(X_1,X_2,X_3....X_n)=E(X_1)E(X_2)E(X_3)...E(X_n)\)

Are the random variables X and Y independent?

If X and Y are two random variables and the distribution of X is not influenced by the values taken by Y, and vice versa, the two random variables are said to be independent.

Hence, X and Y are independent random variables, and a and b are constants is

Var(X-Y) = Var(X) + Var(Y).

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Answer:

the top one now!

Step-by-step explanation:

Answer:  120

120 x 0.85 = 102

Have a good day!

Answer: 120

Step-by-step explanation: (102 x 100) / 85

Answer:

312

Step-by-step explanation:

each side is 60 cm, the main body is 192. Add both sides to get 120 and add 192 u get 312

True. A vector in space can be described by specifying its magnitude and its direction angles. The magnitude of a vector represents its length or size, while the direction angles determine the orientation of the vector with respect to a reference axis system.

In three-dimensional space, a vector can be decomposed into its components along the x, y, and z axes. By using trigonometric functions, the direction angles of the vector can be determined. The direction angles are typically measured with respect to the positive x-axis, the positive y-axis, and the positive z-axis.

Once the magnitude and direction angles of a vector are known, the vector can be fully described. This description allows for precise calculations and analysis of vector quantities, such as displacement, velocity, and force, in various physical and mathematical contexts.

It's worth noting that there are alternative ways to describe vectors, such as using Cartesian coordinates or unit vectors. However, specifying the magnitude and direction angles provides a convenient and comprehensive representation of a vector in space.

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( 78 -75 / 75 ) × 100 =

(3/75 )× 100 =

( 3 / 3 × 25 ) × 100 =

(1/25) × 100 =

100/25 =

% 4

Answer:

503

------

3586

Step-by-step explanation:

that's as small as I can get it

Answer:

C) Each ounce of yogurt increases the cost by $0.37

Step-by-step explanation:

With 0 ounces of yogurt, you have a flat fee of $1.50 for toppings

With 1 ounce of yogurt, you have a total of $0.37(1) + $1.50 = $1.87

With 2 ounces of yogurt, you have a total of $0.37(2) + $1.50 = $2.24

And so on...

Notice that with each ounce of yogurt, the price is increased at a rate of $0.37 per ounce. $1.50 is what you're just starting with, without yogurt. Therefore, option C is correct.

Answer:

6

Step-by-step explanation:

Let's call the number of red cubes that Sam has r, and the number of yellow cubes that she has y.

Since the sum of the number of cubes is 20:

r+y=20

Since she has 8 more yellow cubes than red ones:

y=r+8

You can now plug this back into the first equation:

r+(r+8)=20

2r+8=20

2r=12

r=6

Therefore, Sam has 6 red cubes. Hope this helps!

Hope this helps!

Answer:

6 red cubes

Step-by-step explanation:

Let statements: let y be the number of yellow cubes, and let r be the number of red cubes.

r+y=20

r+8=y

r+(r+8)=20

2r+8=20

2r=12

r=6

Answer:

84.474

Step-by-step explanation:

46.93 x 1.8 = 84.474

Answer:

The giraffe could run 84.474 feet in 1.8 seconds.

Step-by-step explanation:

cross multiply

1x= 84.474

x= 84.474 ft

Answer:

I think the answer is -7 1/5, -7.1 repeating, 23/3, square root of 50

The approximate solution to x^3 - 5x^2 - 9 = 0, to 2 decimal places, is x = 5.19.

It should be noted that to use the iterative process to find an approximate solution to x^3 - 5x^2 - 9 = 0, we can use the following formula:

x[n+1] = x[n] - f(x[n]) / f'(x[n])

First, let's find the derivative of the function:

f(x) = x^3 - 5x^2 - 9

f'(x) = 3x^2 - 10x

Next, let's plug in x = 5 to get our first approximation:

x[1] = 5 - (5^3 - 5(5)^2 - 9) / (3(5)^2 - 10(5))

x[1] = 5 - (125 - 125 - 9) / (75 - 50)

x[1] = 5 + 0.12

x[1] = 5.12

Now we can use this value as our new approximation and repeat the process:

x[2] = 5.12 - (5.12^3 - 5(5.12)^2 - 9) / (3(5.12)^2 - 10(5.12))

x[2] = 5.12 - (134.78 - 131.19 - 9) / (79.76 - 52.06)

x[2] = 5.12 + 0.064

x[2] = 5.184

x[3] = 5.184 - (5.184^3 - 5(5.184)^2 - 9) / (3(5.184)^2 - 10(5.184))

x[3] = 5.184 - (139.55 - 135.92 - 9) / (82.87 - 53.64)

x[3] = 5.184 + 0.005

x[3] = 5.189

Therefore, an approximate solution to x^3 - 5x^2 - 9 = 0, to 2 decimal places, is x = 5.19.

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Using the combination formula, it is found that 20 different arrangements of the display are possible.

The order in which the paintings are displayed is not important, hence, the combination formula is used to solve this question.

Combination formula:

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by:

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

In this problem, 3 paintings are chosen from a set of 6, hence:

\(C_{6,3} = \frac{6!}{3!3!} = 20\)

20 different arrangements of the display are possible.

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Answer:

5x-y-8

3(x+2)+2x-(4(y+2)-3(y-2))

4y+8-3(y-2)

3x+6+2x-y-14

and the last answer

skip some step hehehe

Answer: w = -2

Step-by-step explanation:

7w = -14

Divide both sides by 7

w = -2

That was brief but hope it helps!

Answer:

W = -2

Step-by-step explanation:

7W÷7      -14÷7

W= -2

The two points where the line meets the circle are (3,6) and (8,3).

To find the coordinates of the point where the line 2x+2y=18 meets the circle (x-2)^2+(y-3)^2=16, we need to first solve the system of equations.

We can start by simplifying the equation of the line by dividing both sides by 2, giving us x+y=9. We can then substitute y=9-x into the equation of the circle,

which results in (x-2)^2+(9-x-3)^2=16. Simplifying this equation yields x^2-4x+4+x^2-12x+81=16. Combining like terms and solving for x, we get x=3 or x=8.

Substituting these values back into the equation of the line gives us the corresponding y-coordinates of 6 and 3, respectively.

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Answer:

The capacity of each bottle is 5.45 of waters or 5 L 450 ML of water

Step-by-step explanation:

We are told that:

Naina emptied a tank holding 65 L 400 ML of water into 12 bottles.

We have 65 Liters and 400ml , we convert everything to Liters

1000ml = 1 L

400ml = x L

Cross Multiply

1000 × x = 400 × 1 L

x = 400/1000

x = 0.4L

Hence, the total capacity of the tank, is 65L + 0.4L = 65.4L

Since there are 12 bottles, we assume that each bottle are of the same size hence, the capacity of each bottle is

calculated as:

12 bottles = 65.4 L

1 bottles = x

Cross Multiply

12x = 65.4L

x = 65.4L /12

x = 5.45 L

Hence, the capacity of each bottle is 5.45 or 5 Liters, 450 ML

The statistical relationship between variables is determined through statistical analysis methods, such as correlation analysis or regression analysis.

Correlation analysis and regression analysis are two common statistical methods used to determine the relationship between variables and identify predictive factors. Here's an explanation of each method:

Correlation Analysis: Correlation analysis is used to measure the strength and direction of the linear relationship between two continuous variables. It helps us understand how changes in one variable are associated with changes in another variable. The correlation coefficient, usually denoted as "r," quantifies the degree of correlation. It ranges between -1 and 1, where a positive value indicates a positive correlation, a negative value indicates a negative correlation, and a value close to zero indicates little to no correlation. Correlation analysis helps identify the presence and strength of a relationship between variables but does not imply causation.

Regression Analysis: Regression analysis goes beyond correlation analysis by modeling the relationship between variables and making predictions. It examines how one or more independent variables (predictors) are related to a dependent variable (outcome). The regression model estimates the impact of independent variables on the dependent variable and provides insights into the relationship's nature, significance, and predictive ability. There are different types of regression analysis, including simple linear regression, multiple regression, and logistic regression, depending on the type of variables involved.

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In a business process, a repository is defined as a collection of something. A repository is a central location in which data is stored and managed.

It is used to store and manage various types of data such as documents, images, videos, and other digital assets. A repository can also be used to store code, configuration files, and other software components. The use of a repository helps to centralize data and makes it easier to manage and access. It also helps to ensure data consistency and eliminates the need for multiple copies of the same data.

Overall, a repository is an important component of many business processes and is critical for efficient data management.

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Answer:

1/5

Step-by-step explanation:

3/4 = 15/20

15/20 - 11/20 = 4/20

Can be simplified to 1/5

Answer: 3/4 - 11/20 = 1/5 or in decimal form 0.2

Answer: Accounting profit=$90,000 and Economic profit loss= $28,500

Step-by-step explanation:

Accounting profit = Total revenue - Explicit costs Accounting profit = ($65 × 4,000) - ($50,000 + $120,000) Accounting profit = $260,000 - $170,000 Accounting profit = $90,000

Economic profit = Total revenue - (Explicit costs + Implicit costs) Economic profit = ($65 × 4,000) - ($50,000 + $120,000 + Forgone interest on savings + Forgone wages) Economic profit = ($65 × 4,000) - [$50,000 + $120,000 + (0.06 x $25,000) + $60,000] Economic profit (loss) = $28,500

The probability that the A1 allele will be fixed is 0.4167, or about 42%.

We are given that;

Number of head= 150

Now,

Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that N = 150, (A1A1) = 25, (A1A2) = 75, and (A2A2) = 50. Substituting these values into the equations for p and q, we get:

\($$p = \frac{2(25) + (75)}{2(150)}$$$$p = \frac{125}{300}$$$$p = 0.4167$$$$q = \frac{2(50) + (75)}{2(150)}$$$$q = \frac{175}{300}$$$$q = 0.5833$$\)

Substituting these values into the equation for Pfix, we get:

\($$Pfix = \frac{p}{p + q}$$$$Pfix = \frac{0.4167}{0.4167 + 0.5833}$$$$Pfix \approx \frac{0.4167}{1}$$$$Pfix \approx 0.4167$$\)

Therefore, by probability the answer will be 0.4167 or about 42%.

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The answer is True. Finding a parametric description of the solution set of a linear system is the same as solving the system.

Finding a parametric description of the solution set of a linear system is equivalent to solving the system. A parametric description of the solution set of a linear system is a way of representing all solutions to the system in terms of a set of parameters. Solving a linear system involves finding the specific values of the variables that satisfy the constraints specified by the system. By finding a parametric description of the solution set, we are effectively solving the system and finding all possible solutions. In this sense, finding a parametric description of the solution set and solving the system are equivalent.

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In spherical coordinates, the equation x^2 + y^2 + z^2 = 16 can be expressed as: ρ^2 = 16. Here, ρ represents the radial distance from the origin to a point in three-dimensional space.

In Cartesian coordinates, the equation x^2 + y^2 + z^2 = 16 represents a sphere centered at the origin with a radius of 4 units. The equation relates the squared distances in each coordinate direction (x, y, and z) to the constant value of 16.

In spherical coordinates, we use a different system to describe points in three-dimensional space. The coordinates consist of the radial distance ρ, the azimuthal angle φ, and the polar angle θ.

In the equation ρ^2 = 16, the term ρ^2 represents the square of the radial distance from the origin to a point. By setting it equal to 16, we are specifying that the squared radial distance is a constant value of 16.

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The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

Box A: The plot that matches Box A is a thrilling mystery. The protagonist, a detective, stumbles upon a series of crimes connected to the labeled tickets.

As the detective investigates, they discover that the tickets with the number "1" are linked to a notorious gang involved in illegal activities. The tickets labeled "2" lead the detective to a secret society that uses the tickets for initiation rituals.

The plot unfolds as the detective races against time to unravel the connections between the tickets and bring the culprits to justice.

Box B: The plot that matches Box B is a heartwarming tale of friendship and adventure. The protagonist, a young child, finds one of the tickets labeled "3" and realizes it grants them access to a magical world. In this world, they meet a group of unique and colorful characters who also possess tickets labeled "5."

Together, they embark on a journey to restore harmony to their realm, battling against an evil force that seeks to exploit the power of the tickets. Through their shared experiences, the group learns valuable lessons about courage, loyalty, and the true meaning of friendship.

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The value of P[A] = 1/2P[B] = 5/12, P[A|B] = 1/5

Roll two fair-sided dice.

Let X1 and X2 denote the number of dots that appear on die 1 and die 2 respectively and we are required to calculate the following.

1. Probability of A2. Probability of B3.

Probability of A given B1. Let A be the event that X1 ≥ 3.

So, P[A] is the probability that X1 is greater than or equal to 3.P[A] = probability that X1 is greater than or equal to 3.

There are 6 ways to roll die 1 and in 3 of them, the number is 3 or greater.

Therefore, P[A] = 3/6 = 1/22. Let B be the event that X2 > X1.

Then P[B] is the probability that X2 is greater than X1. P[B] = probability that X2 is greater than X1.

There are 36 equally likely outcomes, of which 15 satisfy B (namely, (1,2), (1,3), (1,4), (1,5), (2,1), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,4), (3,5), and (3,6)).

So, P[B] = 15/36 = 5/123.

We need to find P[A|B], the probability that A happens, given that B happens.

We will use the formula:

P[A|B] = P[A and B]/P[B]

For P[A and B],

we want to find the probability that both A and B happen at the same time.

This means that X2 > X1 and X1 ≥ 3,

which occurs when the dice roll (3,4), (3,5), or (3,6). So, P[A and B] = 3/36.

Therefore,

P[A|B] = P[A and B]/P[B] = (3/36)/(5/12) = 1/5

Therefore, the solution is as follows:

P[A] = 1/2, P[B] = 5/12, P[A|B] = 1/5

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Answer:

1: 75

Step-by-step explanation:

20cm : 15m

Convert meters to cm

1 meter = 100 cm

15m = 15 x 100 = 1500 cm

20cm:1500cm

Divide both sides of the ratio by 20

=> 1 : 1500/20 = 1: 75

The ratio of 20cm to 15m in the form 1:n is 1:75.

A ratio is a mathematical comparison of two or more quantities expressed in terms of the number of times one quantity contains another quantity.

It is used to express the relationship between two or more numbers or variables and is usually written as a fraction or with a colon between the two numbers.

We have,

First, we need to convert both measurements to the same unit.

Let's convert 20cm to meters:

20 cm = 20/100 m = 0.2 m

Now we can express the ratio of 20cm to 15m as:

0.2m : 15m

To simplify this ratio, we can divide both sides by the greatest common factor of the two numbers, which is 0.1m:

0.2m/0.1m : 15m/0.1m

2 : 150

Finally, we can simplify the ratio by dividing both sides by 2:

1 : 75

Therefore,

The ratio of 20cm to 15m in the form 1:n is 1:75.

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Answer:

x = 146°

Step-by-step explanation:

parallelogram property

x + 34 = 180

x = 146