PLEASE HELP ASAP!!!!!!!

Answer:

y = \(\frac{3}{2}\) x

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here slope m = \(\frac{3}{2}\) and y- intercept c = 0 , then

y = \(\frac{3}{2}\) x + 0 , that is

y = \(\frac{3}{2}\) x

9514 1404 393

Answer:

  9.  not possible

  13, 14, 19.  AAS — 13: WYX≅AYZ; 14: CFD≅CEB; 19: DEH≅GEF

  15, 16.  not possible

Step-by-step explanation:

9. You're looking for three sides, or two sides flanking a congruent angle. Here, the angle is not between the two sides, so the SAS theorem does not apply. Proving congruence is not possible.

__

13, 14, 19. You have two adjacent angles, followed by a side, so the AAS theorem will prove congruence.  

When you write the congruence statement, you need to make sure the nodes are named in corresponding order. It can be useful to name the nodes in the same order as the elements you claim for congruence. For these, we name the two angle nodes first, then the other end of the side.

13: WYX≅AYZ; 14: CFD≅CEB; 19: DEH≅GEF

__

15, 16. With only one angle and one side, it is not possible to prove congruence.

_____

Additional comment

With these theorems, you are looking for angles or sides that are adjacent (next to each other). In figure 9, there are two sides and an angle, so you might be tempted to claim SAS congruence. The name SAS means the angle must be between the two sides. In that figure, the two sides are adjacent, and the angle is adjacent to only one of the sides (not between them). Hence SAS does not apply.

(You will find later that two sides and a non-adjacent angle will define a unique triangle if, and only if, the angle is opposite the longest of the two given sides. In figures like these, no side lengths are given, and you are not allowed to rely on appearances.)

i) The multiple coefficient of determination (R-squared or R²) and adjusted multiple coefficient of determination (Adjusted R²) are statistical measures.
j) In this specific case, the R² value is 83.4%.
k) The interpretation of the R² value (83.4%) is that approximately 83.4% of the variance in the dependent variable can be explained by the independent variables in the model.

i) The multiple coefficient of determination (R-squared) is a statistical measure that represents the proportion of the variance in the dependent variable that is explained by the independent variables in a regression model. The adjusted multiple coefficient of determination (Adjusted R-squared) is a modified version of the R-squared that adjusts for the number of independent variables in the model. It penalizes the inclusion of unnecessary variables that do not improve the model's fit.

j) The values of R-squared and Adjusted R-squared are 83.4% and 83.2% respectively, which means that 83.4% of the variance in the dependent variable is explained by the independent variables in the model, and 83.2% is explained by the independent variables while taking into account the number of independent variables in the model.

k) The interpretation of R-squared is that it measures how well the regression model fits the data. A high R-squared value indicates that the model explains a large proportion of the variance in the dependent variable, while a low R-squared value indicates that the model does not explain much of the variance in the dependent variable. However, it is important to note that a high R-squared value does not necessarily mean that the model is accurate or that the independent variables are causally related to the dependent variable.

i) The multiple coefficient of determination (R-squared or R²) and adjusted multiple coefficient of determination (Adjusted R²) are statistical measures used to evaluate the goodness of fit of a regression model. R² represents the proportion of the variance in the dependent variable that is explained by the independent variables in the model. Adjusted R² is a modified version of R² that accounts for the number of independent variables and sample size, providing a more accurate measure of model performance.

j) In this specific case, the R² value is 83.4%, and the Adjusted R² value is 83.2%. These values are very close, indicating that the regression model provides a good fit to the data and the addition of more independent variables does not significantly increase the explained variance.

k) The interpretation of the R² value (83.4%) is that approximately 83.4% of the variance in the dependent variable can be explained by the independent variables in the model. This high R² value indicates that the regression model is effective at predicting the dependent variable based on the given independent variables.

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The correct form of the partial fraction decomposition for given expression 7x+18/x^2+9x is A/x + B/(x + 9)

The correct answer is an option(B)

In this question, we have been given an expression x² + 9x = x (x + 9),

We need to write the correct form of the partial fraction decomposition for given expression.

Suppose, (7x + 18) / (x² + 9x) = A/x + B/(x + 9)

where A and B are some constants.

To find them, multiply both sides by x² + 9x :

7x + 18 = A (x + 9) + Bx

and then we solve for A and B.

Therefore, the correct form of the partial fraction decomposition for given expression 7x+18/x^2+9x is A/x + B/(x + 9)

The correct answer is an option(B)

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Answer:

The correct answer is option B

Step-by-step explanation:

The points that are in the solution set are (-1, -1) and (2, -1).

In order to determine which ordered pairs are valid and true solutions based on the given linear inequalities, we would have to test the given ordered pairs by substituting their values into each of the linear inequality as follows;

For ordered pair (0, 0), we have:

y ≤ -1

0 ≤ -1 (False).

For ordered pair (0, 0), we have:

3x + 4y < 4

3(0) + 4(0) < 4

0 < 4 (True)

For ordered pair (-1, -1), we have:

y ≤ -1

-1 ≤ -1 (True).

For ordered pair (-1, -1), we have:

3x + 4y < 4

3(-1) + 4(-1) < 4

-7 < 4 (True).

For ordered pair (2, -1), we have:

y ≤ -1

-1 ≤ -1 (True).

For ordered pair (2, -1), we have:

3x + 4y < 4

3(2) + 4(-1) < 4

-2 < 4 (True).

For ordered pair (-2, 2), we have:

y ≤ -1

2 ≤ -1 (False).

For ordered pair (-2, 2), we have:

3x + 4y < 4

3(-2) + 4(2) < 4

-6 + 8 < 4

2 < 4 (True).

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Answer:

x=1/2, y=4

Step-by-step explanation:

Double both sides of the top equation:

4x+6y=26

Now subtract boths sides of the second one from the first one:

(4x+6y) - (4x-y) = 26 - (-2)

7y = 28

so y = 4

4x-y=-2 so 4x-4=-2

4x=2

x=1/2

The expected value (e(x)) of the given probability mass function can be calculated as 1.36.

To find the expected value (e(x)), we need to calculate the weighted average of the values of x using their respective probabilities. The given probability mass function is F(x) = (2x + 1)/25.

We can calculate the expected value using the formula:

e(x) = Σ(x * P(x))

where Σ denotes the sum, x represents the values, and P(x) represents the probabilities.

For the given function, the values of x are 0, 1, 2, 3, and 4.

Plugging in the values into the formula:

e(x) = (0 * P(0)) + (1 * P(1)) + (2 * P(2)) + (3 * P(3)) + (4 * P(4))

Calculating the probabilities for each value:

P(0) = (2 * 0 + 1)/25 = 1/25

P(1) = (2 * 1 + 1)/25 = 3/25

P(2) = (2 * 2 + 1)/25 = 5/25 = 1/5

P(3) = (2 * 3 + 1)/25 = 7/25

P(4) = (2 * 4 + 1)/25 = 9/25

Substituting these values into the expected value formula:

e(x) = (0 * 1/25) + (1 * 3/25) + (2 * 1/5) + (3 * 7/25) + (4 * 9/25)

= 0 + 3/25 + 2/5 + 21/25 + 36/25

= 1.36

Therefore, the expected value (e(x)) of this probability mass function is 1.36. Thus, the correct option is b. 1.36.

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The value of the equation x² - x + 3 is 37/9.

We have,

We can start by multiplying both sides of the equation by x:

2x - 3/x = x + 1

2x - 3 = x^2 + x

Rearranging and simplifying, we get:

x^2 - x + 3 = (2x - 3) + x^2

x^2 - x + 3 = x^2 + 2x - 3

-x + 3 = 2x - 3

5 = 3x

x = 5/3

Now we can substitute x into the equation x^2 - x + 3:

x^2 - x + 3 = (5/3)^2 - 5/3 + 3

x^2 - x + 3 = 25/9 - 15/9 + 27/9

x^2 - x + 3 = 37/9

Therefore,

The value of x² - x + 3 is 37/9.

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There are two possible outcomes of this experiment either success p or failure q. It has a given number of trials and all trials are independent therefore it is binomial probability distribution.

1-  5 ways

2- 5/16

3- 1/16

4- 1/16

In the question given above n= 5 p =1/2 q= 1/2  r is the given point.

The number of ways in which different people get off the bus can be calculated using combinations since the order is not essential. Therefore

nCr= 5C4= 5 ways

2. Part 2:

The probability that all four people get off the bus on the first stop is given by :

P (x= 1)= 5C1 (1/2)^0(1/2)^4= 5(1/2)^4= 5/16

3. Part 3:- The probability that all four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^0(1/2)^4= 1(1/2)^4= 1/16

4. Part 4- The probability that exactly three of the four people get off the bus on the same stop.

P (x= x)= 5C5 (1/2)^3(1/2)^1= 1(1/2)^4= 1/16

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To express x and y in terms of trigonometric ratios of θ, we need to use the definitions of sine, cosine, and tangent ratios.

Let's assume that θ is an acute angle in a right triangle with hypotenuse of length 1. Then, we have:

sin θ = opposite/hypotenuse = y/1 = y
cos θ = adjacent/hypotenuse = x/1 = x
tan θ = opposite/adjacent = y/x

Therefore, we can express x and y in terms of trigonometric ratios of θ as follows:

x = cos θ
y = sin θ

Alternatively, if we are given the value of one trigonometric ratio and we need to find the others, we can use the Pythagorean identity:

sin^2 θ + cos^2 θ = 1

From this, we can derive:

cos^2 θ = 1 - sin^2 θ
sin^2 θ = 1 - cos^2 θ

And then use the definitions of tangent and cotangent ratios:

tan θ = sin θ/cos θ
cot θ = cos θ/sin θ = 1/tan θ

Hope this helps!
To express x and y in terms of trigonometric ratios of θ, we will use the basic trigonometric ratios: sine (sin), cosine (cos), and tangent (tan). In a right-angled triangle, we have:

1. sin(θ) = opposite side / hypotenuse
2. cos(θ) = adjacent side / hypotenuse
3. tan(θ) = opposite side / adjacent side

Assuming x is the adjacent side and y is the opposite side in relation to angle θ, and the hypotenuse is denoted by r, we can express x and y in terms of trigonometric ratios of θ as follows:

Step 1: Solve for x using the cosine ratio:
x = r * cos(θ)

Step 2: Solve for y using the sine ratio:
y = r * sin(θ)

So, x and y are expressed in terms of trigonometric ratios of θ as x = r*cos(θ) and y = r*sin(θ).

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(-6, 14) and (2, -18)

The slope of the line that passes through the point.

y2 - y1 / x2 - x1

-18 - 14 / 2 + 6

= -32 / 8

= -4

Option D. -4

Answer:

0.969

Step-by-step explanation:

use the z-score formula to convert the values.

z = (X - υ) / σ

where X is the test statistic, υ is the mean, σ is the standard deviation.

z = (18 - 31) / 7

= -1.857

area in z-score table (this is area to left of <18) is 0.0314.

P(>18) = 1 - 0.0314 = 0.969

Answer:

3

Step-by-step explanation:

5.75 - (1.75 × 2) = 2.25

2.25 ÷ 0.75 = 3

Answer: Cindy bought 3 children books.

Step-by-step explanation:

$1.75 + $1.75 = $3.50

$5.75 - $3.50 = $2.25

$2.25 ÷ $ 0.75 = 3

The length of the arc of the curve from point p to point q of the equation  x2 = (y − 4)3 as calculated is 8 units.

as to calculated  the length of the arc we will differentiate the given equation x² = (y-4)³ with respect to y

=> 2x = 3( y - 4 )²

=> 2x = 3( y²  -8y + 16)

=> 2x = 3 y²  - 24y + 48

=> 3 y²  - 24y + 48 - 2x = 0

now , x = 5 - 1 = 4

y = 8 - 1 =7

Therefore, length = 3 x 8²  - 24 x 8 + 48 - 2x 4 = 0

=192 - 192 - 8 = -8

On taking modulus we get the length as 8 units.

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a) The probability that the employee passed, given that they were a man, is 0.6 or 60%.

b) The probability that the employee was a man, given that a passing grade was received, is 0.4 or 40%.

c) The event of passing the exam is independent of the event of gender.

a) To find the probability that the employee passed, given that they were a man, we need to calculate P(Pass | Man).

From the table, we can see that the number of men who passed the examination is 24, and the total number of men is 40. Therefore:

P(Pass | Man) = Number of men who passed / Total number of men

                       = 24 / 40

                       = 0.6

So, the probability that the employee passed, given that they were a man, is 0.6 or 60%.

b) To find the probability that the employee was a man, given that a passing grade was received, we need to calculate P(Man | Pass).

From the table, we can see that the number of employees who passed the examination is 60, and the number of men who passed is 24. Therefore:

P(Man | Pass) = Number of men who passed / Total number of employees who passed = 24 / 60 = 0.4

So, the probability that the employee was a man, given that a passing grade was received, is 0.4 or 40%.

c) To determine if the event of passing the exam is independent of the event of gender, we need to compare the probabilities calculated in parts a and b.

If the events were independent, then P(Pass | Man) would be equal to P(Pass) and P(Man | Pass) would be equal to P(Man).

From part a, P(Pass | Man) = 0.6, and from the given information, the total number of employees who passed is 60 out of 100, so P(Pass) = 60 / 100 = 0.6.

From part b, P(Man | Pass) = 0.4, and the total number of men is 40 out of 100, so P(Man) = 40 / 100 = 0.4.

Since P(Pass | Man) is equal to P(Pass) and P(Man | Pass) is equal to P(Man), we can conclude that the event of passing the exam is independent of the event of gender.

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Answer:

82

Step-by-step explanation:

10(3)² - 2(3) - 2

10(9) - 6 - 2

90 - 6 - 2

82

Best of Luck!

z = 3

10z² - 2z - 2

by putting the value of z, we get

10(3)² - 2(3) - 2

= 10(9) - 6 - 2

= 90 - 8

= 82

82

Answer:

x = 45

Step-by-step explanation:

The angles are supplementary

(2x + 40) + (3x - 85) = 180

Combine like terms

5x - 45 = 180

Add 45 to both sides

5x = 225

Divide both sides by 5

x = 45

Answer:

30.4 units

Step-by-step explanation:

This Question asks on the concept of Similar Triangles.

Given information from the question, we know that:

DM = MA

CN = NB

DC and AB are parallel.

We can use the ratio formula to find the length of AB based on the length ratio between MN and DC.

\(\frac{AB}{MN} =\frac{MN}{DC} \\\frac{AB}{18.7} =\frac{18.7}{11.5} \\AB = \frac{18.7}{11.5} * 18.7\\AB = 30.4\ units\)

Therefore the length of AB is 30.4 units.

A matrix consisting entirely of zeros is called a zero matrix, or an all-zero matrix.

It is denoted with the symbol O and can be written in a matrix form, such as O = [0 0 0 0] where the number of columns and rows depends on the size of the matrix. A zero matrix is a matrix which has all its elements equal to zero. It has a number of special properties that make it useful in linear algebra. For instance, the sum of any two zero matrices is a zero matrix, and any scalar multiple of a zero matrix is a zero matrix. Additionally, the product of two zero matrices is a zero matrix, and the product of a zero matrix and an identity matrix is a zero matrix. These properties make it useful in solving systems of linear equations where all the coefficients are zero. Finally, the inverse of a zero matrix does not exist since its determinant is zero.

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21. The volume of the prism is 3.75 cubic feet

22. The volume of the prism is 63.71 cubic inches

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

The trapezoidal prism

The formula of the volume of a trapezoidal prism is

Volume = Base area * Height

Where we have

Base area = 1/2 * (1 + 3) * 15 in

Convert in to ft

Base area = 1/2 * (1 + 3) * 1.25

Evaluate the sum of 3 and 3

Base area = 1/2 * 4 * 1.25

Evaluate the products of 1/2, 4 and 1.25

Base area = 2.5

Also, we have

Height = 18 in = 1.5 ft

So, the volume is calculated as

volume = 2.5 * 1.5

Evaluate

volume = 3.75

Hence, the volume of the prism is 3.75 cubic feet

For the other prism, we have

Base area = 18 in * 0.5 yd + 1/2 * 3.14 * (18 in/2)²

Convert to inches

Base area = 18 * 0.5/36 + 1/2 * 3.14 * (18/2)²

So, we have

Base area = 127.42

So, the volume is

Volume = 127.42 * 1.5/3

Volume = 63.71

Hence, the volume of the prism is 63.71 cubic inches

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50?

I'm assuming 50 because the angles to a triangle always adds up to 180 and this one has 130 and 130+50=180

Answer:

6:1

Step-by-step explanation:

The ratio 12/2 is equivalent to the ratio 6/1, or 12:2 = 6:1 .

Step-by-step explanation:

sometimes its good to use real numbers

odd numbers under 10 are good

Kiran is older than Mohal

Their ages are consecutive odd integers

so lets make Kiran 9 & Mohal 7

Find Kiran's age = x or 9

if the sum means add

square of Kiran's age means

x^2 or 9^2 or 81

and means +

3 times Mohal's age

3 * y or 7

is means =

64 so...

x^2 + y = 64

important ****

Their ages are consecutive odd integers

if Kiran is x and

mohal is y and

Their ages are consecutive odd integers

then

y + 2 = x

like for example 7 and 9 are consecutive odd integers

and the difference between them is always 2 so

x^2 + y = 64

change x into y by using

y + 2 = x

(y+2)^2 + y = 64

(y+2)(y+2) =

y^2 +4y + 4 + y = 64

y^2 +5y -60 =

Kiran age is 7 years old.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by representing Kiran's age as x.

Since Kiran is older than Mohal,

Mohal's age is x-2 (the previous odd integer).

We know that their ages are consecutive odd integers, so the difference between their ages is 2:

x - (x - 2) = 2

Simplifying, we get:

2 = 2

This is true, so we know that our representation of their ages is correct.

Now we can use the given information to set up an equation:

x² + 3(x-2) = 64

Expanding and simplifying, we get:

x² + 3x - 70 = 0

Now we can solve for x using the quadratic formula:

x = (-3 ± √(3² - 4(1)(-70))) / (2(1))

x = (-3 ± √(289)) / 2

x = (-3 ± 17) / 2

x = 7 or x = -10

Since we know that Kiran is older than Mohal, Kiran's age must be positive. Therefore, Kiran is 7 years old and Mohal is 5 years old.

We can check that this satisfies the given condition:

7² + 3(5) = 49 + 15 = 64

Thus,

Kiran age is 7 years old.

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Answer: The blue figure is translated 5 units left and 2 units down. It could also be said as: The Blue figure is translated -5 units on the x-axis and -2 units on the y-axis.

Step-by-step explanation:

All you have to do is a pick one of the points on the red figure and count exactly how many dots the blue figure moved left, and how many dots it moved down.

Answer:

2 down and 5 left

Step-by-step explanation:

Pick one point and count the difference between the figures. The points of the blue figure are 2 below and 5 to the left of their corresponding parts

Answer:

y=-2/5x+36/5

Step-by-step explanation:

Answer:

Mark me as brainliest

and zoom in

Answer:

A. The answer is 7.4x10^3

Answer:

A. The answer is 7.4x10^3

Step-by-step explanation:

The new functions are:

(f + g)(x) = 3x - 4

(g - h)(x) = 6x - 4

(f o g)(x) = 2x - 4

(g o h)(x) = -8x - 1

And the value of (f-g)(3) = -2.

To find new functions, we can combine the given functions using arithmetic operations.

(f + g)(x) = f(x) + g(x) = (x - 1) + (2x - 3) = 3x - 4

(g - h)(x) = g(x) - h(x) = (2x - 3) - (1 - 4x) = 6x - 4

(f o g)(x) = f(g(x)) = f(2x - 3) = (2x - 3) - 1 = 2x - 4

(g o h)(x) = g(h(x)) = g(1 - 4x) = 2(1 - 4x) - 3 = -8x - 1

To find (f-g)(3), we need to evaluate the function (f - g) at x = 3:

(f - g)(3) = f(3) - g(3) = (3 - 1) - (2(3) - 3) = 1 - 3 = -2

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The given question is incomplete, the complete question is

If  f(x) = x -1, g(x) = 2x - 3, and h(x) = 1 - 4x, find the following new functions, as well as any values (f-g)(3)

(f + g)(x)

(g - h)(x)

(f o g)(x)

(g o h)(x)

The value stored in the variable x after the execution of the following code snippet will be b) 2.

The right-click context menu option or a combination of hotkeys can be used to add code snippets, which are compact chunks of reusable code, to a code file. Although try-finally and if-else blocks, for example, are frequently used code blocks found in code snippets, you can also use them to add whole classes or methods.

Learn more about using the templates tool to create reusable emails. Applications and web pages use snippets. Snippets are made to be reusable and to add functionality, like connecting various parts of a program.

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Answer:

2k - 13

Step-by-step explanation:

1. Because this is an expression, we can only simplify it.

2. (Solving)

Step 1: Apply distributive property.

Step 2: Combine like terms.

Therefore, the answer is 2k - 13!