Find m
Plz I need helped

1. The marginal distribution of X=145

2. The marginal Distribution of Y= 95

3.Cov(X, Y) = 215.5

4.σ(X) ≈ 38.72983346

5.σ(Y) ≈ 382.1762697

6.Corr(X, Y) ≈ 0.015437

7.Cov(X, Y) = 215.5

8.Corr(X, Y) = Cov(X, Y) / (σ(X) ×σ(Y))

9.1500 215.5

215.5 146125

10. 1 0.015437

0.015437 1

To find the appropriate values for the variables listed on the right, let's go through each calculation step by step:

Marginal Distribution of X:

To find the marginal distribution of X, to sum the probabilities of X across all possible values of Y.

P(X=100) = 0.30 + 0.15 + 0.10 = 0.55

P(X=200) = 0.20 + 0.05 + 0.20 = 0.45

Marginal Distribution of Y:

To find the marginal distribution of Y,  to sum the probabilities of Y across all possible values of X.

P(Y=0) = 0.30

P(Y=100) = 0.15 + 0.05 = 0.20

P(Y=250) = 0.10 + 0.20 = 0.30

Expected Value of X:

E(X) = Σ(X × p(X))

E(X) = (100 × 0.55) + (200 × 0.45) = 55 + 90 = 145

Expected Value of Y:

E(Y) = Σ(Y ×p(Y))

E(Y) = (0 × 0.30) + (100× 0.20) + (250 × 0.30) = 0 + 20 + 75 = 95

Covariance of X and Y:

Cov(X, Y) = Σ((X - E(X)) × (Y - E(Y)) × p(X, Y))

Cov(X, Y) = (100 - 145) × (0 - 95) × 0.30 + (100 - 145) × (100 - 95) ×0.15 + (100 - 145) × (250 - 95) × 0.10 + (200 - 145) × (0 - 95) × 0.20 + (200 - 145) × (100 - 95) ×0.05 + (200 - 145) × (250 - 95) × 0.20

Cov(X, Y) = (-45) × (-95) × 0.30 + (-45) × 5 × 0.15 + (-45) × 155 × 0.10 + (55) × (-95) ×0.20 + (55) × 5 × 0.05 + (55) × 155 × 0.20

Cov(X, Y) = 256.5 + (-3.375) + (-697.5) + (-1045) + 1.375 + 1707.5

Cov(X, Y) = 215.5

Standard Deviation of X:

σ(X) = √(Cov(X, X))

σ(X) = √(Var(X))

σ(X) = √(E(X²) - (E(X))²)

σ(X) = √((100² × 0.55) + (200² × 0.45) - (145)²)

σ(X) = √(5500 + 8100 - 21025)

σ(X) = √(1500)

σ(X) ≈ 38.72983346 (rounded to 3 decimal places)

Standard Deviation of Y:

σ(Y) = √(Cov(Y, Y))

σ(Y) = √(Var(Y))

σ(Y) = √(E(Y²) - (E(Y))²)

σ(Y) = √((0² × 0.30) + (100² × 0.20) + (250² × 0.30) - (95)²)

σ(Y) = √(0 + 400 + 18750 - 9025)

σ(Y) = √(146125)

σ(Y) ≈ 382.1762697 (rounded to 3 decimal places)

Correlation of X and Y:

Corr(X, Y) = Cov(X, Y) / (σ(X) × σ(Y))

Corr(X, Y) = 215.5 / (38.72983346 × 382.1762697)

Corr(X, Y) ≈ 0.015437 (rounded to 6 decimal places)

Correlation of X and Y:

Corr(X, Y) = Cov(X, Y) / (σ(X) × σ(Y))

Covariance Matrix of X and Y:

The covariance matrix for X and Y is a 2x2 matrix where each element represents the covariance between two variables.

Cov(X, X) = Var(X) = 1500

Cov(Y, Y) = Var(Y) = 146125

Cov(X, Y) = 215.5

Covariance Matrix:

1500 215.5

215.5 146125

Correlation Matrix of X and Y:

The correlation matrix for X and Y is a 2x2 matrix where each element represents the correlation between two variables.

Corr(X, X) = 1 (as it is the correlation of a variable with itself)

Corr(Y, Y) = 1 (as it is the correlation of a variable with itself)

Corr(X, Y) ≈ 0.015437

Correlation Matrix:

1 0.015437

0.015437 1

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When 4 dozen gourmet donuts cost a total of $96.96 the value of the constant of proportionality that relates the total cost of the donuts, y, to the number of donuts, x is 24.24

Information given in the question include

Four dozen gourmet donuts cost a total of $96.96

the total cost of the donuts, y,

the number of donuts, x

Representing the word problem into equation

number of donuts, x * constant of proportionality = total cost of the donuts, y

let the constant of proportionality be K

x* K = y

4k = $96.96

k = 96.96/4

k = 24.24

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Answer:

23 customers on payment plan B

13 customers on plan text B

Probability: 13/23

Step-by-step explanation:

Answer:

The cost of the burger after the 25% increment is $3.75.

Step-by-step explanation:

25%=0.25

3*0.25=0.75

$3.00+$0.75=$3.75

Answer:

When f(n) = 12, what is the value of n? Answer: n=5

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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nn There hope this helps :>

Answer:

:)

Step-by-step explanation:

Examples: 1+2, 1/3+1/4, 2^3 * 2^2

(x+1)(x+2) (Simplify Example), 2x^2+2y a x=5, y=3 (Evaluate Example)

y=x^2+1 (Graph Example), 4x+2=2(x+6) (Solve Example)

The area represented by the model can be calculated by multiplying the number of squares in the top row by the number of squares in each column. Therefore, the area in square units represented by this model can be found by multiplying the number of squares in the top row by the total number of squares in the model.

To calculate the area, we need to know the number of squares in the top row and the number of columns. Without that information, it is not possible to provide an accurate answer.

general, to calculate the area of a rectangular wall, we need to multiply its length by its width.

In this case, since the wall is represented by squares, we need to count the number of squares in the top row and the number of squares in each column. The total number of squares would be the product of these two numbers, and that would be the area represented by the model.

Without the specific information about the number of squares in the top row and the number of columns, it is not possible to provide an exact numerical answer.

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the given proportional relationship y=0.5x with proportional constant is 1/2.

what is proportional relationship?

When two variables are correlated in a manner that their ratios are equal, this is known as a proportional relationship. In a proportional connection, one variable is always a constant value multiplied by the other, which is another way to think of them. The "constant of proportionality" is the term used to describe that constant.

Given x and y will have a proportional relationship if the ratio of x to y will be equal for all given values.

For every 1 scoop of ice cream, cup of milk is needed 1/2, and for every 5 scoops of ice cream, 2 cups of milk 2 1/2 are needed.

So the equation will be y = kx

or y = 0.5(x)

Here proportional constant is 1/2 or 0.5.

For 18 scoops of icecream, milk will be needed is 18/2 = 9 cups of milk.

Hence, we can say that the given proportional relationship y=0.5x with a proportional constant is 1/2.

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Answer:

-a^2 -a + 12

Step-by-step explanation:

You have to multiply all four together.

-a times a = -a^2

-a times 4 = -4a

3 times a = 3a

3 times 4 = 12

Add them all together =

-a^2 - a + 12

The answer is :

-a^2-a+12

Step-by-step explanation:

-a(a) is -a

-a(4) is -4a

3(a) is 3a

3(4) is 12

So,

-a^2-4a+3a+12

Simplify

-4a+3a is -a bcz -4+3 is -1

Final answer

a^2-a+12

Step-by-step explanation:

let's reffer to:

gumbo (x)

raspberry (y) so,

8x + 9y =14. 3 (1)

6x + 3y = 8.1 (2)

devide (2) by 3

2x + y = 2.7

y = 2.7 - 2x (3)

substitute 3 in 1

8x + 9(2.7 - 2x) = 14.3

8x + 24.3 - 18x = 14.3

10 x = 10

x = 1 (ANS)

and y = 0.7 (ANS)

Answer:

Hello There the correct answer to this is The first one is 1029.6 Because you need to multiply 8 x 9 then it will be 72 and then multiply 72 x 14.30 it will be 1029.6 it will the same the Second one is 145.8 Because you you need to multiply the first one multiply 6 x 3 which that 18 the multiply 18 x 8.10 which that will be 145.8 SO both of these answer are the same.

Hope It Helps!

ItsNobody

The unit vector which are in opposite direction of the u = (3,0,5) is given by option B.  -1/√34 (3,0,5) .

Vector u = ( 3, 0, 5 )

Magnitude of u is equal to

|u| = √3² + 0² + 5²

⇒ |u| = √ 9 + 25

⇒ |u| = √34

Let the required unit vector opposite in the direction of u be w

Opposite direction of u is represented by the negation of u

negation of u = ( -3 , 0 , -5 )

⇒ w = ( -3 , 0 , -5 )

Magnitude of w is equal to

|w| = √(-3)² + 0² + (-5)²

⇒|w| = √34

Unit vector w = ( 1/√34)( -3 , 0 , -5 )

Therefore, the required unit vector in the opposite direction of u is equal to option B . ( 1/√34)( -3 , 0 , -5 ).

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Answer:

Step-by-step explanation:

Step one:

given data

price of computer= $1500

sales tax= 8.5%

Step two

Let us compute the amount in tax

tax= 8.5/100*1500

=0.085*1500

=$127.5

Let the total cost be t

hence

t=1500+0.085*1500

t=1500+127.5

t=$1627.5

The height of the building is 44 meters

From the question, we have the following parameters that can be used in our computation:

Height of the tree = 22 m

From the question, we understand that

Scale of the diagram = 2

This means that

Height of the building = Height of the tree * Scale of the diagram

Substitute the known values in the above equation, so, we have the following representation

Height of the building = 22 m * 2

Evaluate

Height of the building = 44 m

Hence, the height is 44 m

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

a. The velocity at time t is v(t) = t² + 2t - 15 m/s.

b. The distance travelled during the given time interval is \(\frac{25}{3}\) meters (or approximately 8.33 meters).

(a) To find the velocity at time t, we need to integrate the acceleration function a(t) from 0 to t and add the initial velocity v(0):

\(v(t) = \int a(t) \, dt + v(0) = \int (2t + 2) \, dt - 15 = t^2 + 2t - 15\)

So the velocity at time t is v(t) = t² + 2t - 15 m/s.

(b) To find the distance travelled during the given time interval, we need to integrate the velocity function v(t) from 0 to 5:

s(5) - s(0) = ∫v(t) dt from 0 to 5

Using the formula for v(t) from part (a), we have:

s(5) - s(0) = ∫(t² + 2t - 15) dt from 0 to 5

\(\int_{0}^{5} \left( \frac{t^3}{3} + t^2 - 15t \right) \, dt\)

\(= \frac{25}{3}+25-75-\frac{0}{3}+0-0=\frac{25}{3}\)

As a result, the distance covered in the allotted time is \(\frac{25}{3}\), or roughly 8.33 metres.

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For the matrix the true statement is given by option d. Both A and B are false.

Let's analyze each statement of the matrix as follow,

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R⁵.

This statement is false.

The domain of the transformation T is not R⁵.

The domain of T is determined by the dimensionality of the vectors x that can be input into the transformation.

Here, the matrix A is a 3 times 5 matrix, which means the transformation T(x) = Ax can only accept vectors x that have 5 elements.

Therefore, the domain of T is R⁵, but rather a subspace of R⁵.

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto.

This statement is also false.

The transformation x → Ax can still be onto (surjective) even if A is a 3 times 2 matrix.

The surjectivity of a transformation depends on the rank of the matrix A and the dimensionality of the vector space it maps to.

It is possible for a 3 times 2 matrix to have a rank of 2,

and if the codomain is a vector space of dimension 3 or higher, then the transformation can be onto.

Therefore, as per the matrix both statements are false, the correct answer is d. Both A and B are false.

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The above question is incomplete, the complete question is:

Which of the following best characterizes the following statements:

A) If A is a 3 times 5 matrix and T is a transformation defined by T(x) = Ax, then the domain of T is R^5

B) If A is a 3 times 2 matrix, then the transformation x right arrow Ax cannot be onto

a. Only A is true

b. Only B is true

c. Both A and B are true

d. Both A and B are false

Answer

Step-by-step explanation:

When 9 2/3 is written simplest radical form,the value remain under radical is number 3.

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

Work Shown:

\(9^{2/3}\\\\\left(9^{2}\right)^{1/3}\\\\\left(81\right)^{1/3}\\\\\left(27*3\right)^{1/3}\\\\\left(27\right)^{1/3}*\left(3\right)^{1/3}\\\\\left(3^{3}\right)^{1/3}*\left(3\right)^{1/3}\\\\3^{3*(1/3)}*\left(3\right)^{1/3}\\\\3^{1}*\left(3\right)^{1/3}\\\\3*\left(3\right)^{1/3}\\\\3\sqrt[3]{3}\\\\\)

Interestingly, everything is a 3, though this won't happen every time with these types of problems.

Answer:

Step-by-step explanation:

Answer:

One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons. One method of finding the answer in the fraction form of 3/8 is to multiply the fraction 1/2 by 3/4 : )

Step-by-step explanation:

One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons.

Here, we have,

given that,

what is half of 3/4 teaspoon

One method of finding the answer in the fraction form of 3/8 is

to multiply the fraction 1/2 by 3/4 ,

or, we can divide 3/4 by 2

i.e. 1/2 × 3/4

as, half = 1/2

so, we get,

=> 3/ 2×4

=> 3/8

=>0.375

Hence, One half of 3/4 teaspoon is equal to 3/8 or 0.375 teaspoons.

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The critical value for a 98% confidence interval with a sample size of n=30 and known standard deviation  is 2.756.

When constructing a confidence interval, the critical value represents the number of standard errors above and below the sample mean that encompasses the specified confidence level. A larger confidence level requires a larger critical value, and a larger sample size will generally result in a smaller critical value, assuming that the population standard deviation is known. In this case, with a sample size of 30 and a 98% confidence level, the critical value is calculated to be 2.756, rounded to 3 decimal places.

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Answer:

-1/3

Step-by-step explanation:

Answer:

x = 69

Step-by-step explanation:

since AB is parallel to CD we can find the value of y with the following equation :

2y - 40 = 66 add 40 to both sides

2y = 110 divide both sides by 2

y = 55

from supplementary angles, we know that the exterior angle's measure is 124

since the sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle

y + x = 124 we found value of y earlier

55 + x = 124 subtract 55 from both sides

x = 69

The population of interest is: A. all people in Emerald, Queensland.

The population of interest refers to the group of individuals that the research is trying to draw inferences about. In this case, the international fast food chain is looking to assess the level of interest in opening a franchise in Emerald, Queensland.

Therefore, the population of interest is all people who live in Emerald, Queensland, as they are the group that the research is trying to understand. The sample of 100 addresses that the research firm selected is just a subset of this population and the questionnaires are being sent to them to infer about the entire population.

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To access the first element of an array of integers called "numbers," you can use the expression:
numbers[0]`
This expression uses the array name "numbers" and the index "0" to access the first element.

To access the last element of "numbers," assuming it contains 10 elements, use the expression:

`numbers[9]`

Here, we use the index "9" since arrays are zero-indexed, meaning the last element in a 10-element array has an index of 9.
To access the first element of the array called numbers, we would use the expression "numbers[0]."

To access the last element of the array, assuming it contains 10 elements, we would use the expression "numbers [9]" since arrays are zero-indexed in most programming languages.

To access the last element of the array regardless of its length, we can use the expression "numbers [numbers.length-1]," which subtracts 1 from the length of the array to access the last element.
To access the last element, regardless of its length, use the expression:

'numbers [numbers. length - 1]'

This expression uses the "length" property of the array to find the total number of elements and subtracts 1 to get the correct index for the last element.

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Answer:

5 first round questions

5 second round questions

The annual growth rate is 23.81%

The annual growth rate is the percentage increase of the production or an investment over a year. It's the annualized growth rate of the output.The formula for the annual growth rate is given as:

Annual Growth Rate = (1 + r)^(1 / n) - 1

Where,‘r’ is the growth rate, and‘n’ is the number of periods considered.

The percentage increase in the output over seven years is given as 21.6%.

The annual growth rate can be calculated as:

(1 + r)^(1 / n) - 1 = 21.6 / 7Or (1 + r)^(1 / 7) - 1 = 0.031

Therefore, (1 + r)^(1 / 7) = 1 + 0.031r = [(1 + 0.031)^(7)] - 1 = 0.2381

The annual growth rate is 23.81% (approx) in percent terms.

Therefore, the answer is "The annualized growth rate is 23.81%."

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The anonymous PL/SQL program provided below computes the sum of the numbers 2, 4, 6, 8, and 10 using a loop. By initializing a variable to store the sum, the program iterates through the given numbers and updates the sum by adding each number in each iteration. Finally, the program displays the computed sum.

The PL/SQL program begins by declaring a variable, "total_sum," which will store the cumulative sum of the numbers. It is initialized to 0.
Next, a loop is set up using the "FOR" statement, specifying the range of numbers to be considered (2 to 10) and the increment of the loop variable (2 in this case). The loop variable "num" takes the values 2, 4, 6, 8, and 10 successively.
Within the loop, the value of "num" is added to the "total_sum" variable using the "+=" operator. This updates the sum with each iteration.
After the loop completes, the program displays the computed sum using the "DBMS_OUTPUT.PUT_LINE" statement.
The program computes the sum of the given numbers (2 + 4 + 6 + 8 + 10 = 30) by iterating through them and updating the sum variable. It demonstrates the use of a loop to perform repetitive computations efficiently.

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This is a contradiction, which means that our initial assumption that there are n children is incorrect. Therefore, there is no solution to this problem that satisfies the given conditions.

Let's assume that there are n children in the Smith family.

We know that the father is 48 years old, so the sum of the ages of the mother and children is:

Total age = (n + 1) * 20 (as there are n children and 1 father)

And we also know that the average age of the mother and children is 16, so we can write:

Total age / (n + 1) = 16

Combining these two equations, we get:

(n + 1) * 20 / (n + 1) = 16

Simplifying, we get:

20 = 16

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