To examine relationships between categorical variable and numerical variable, we can use: a. scatter plots b. side-by-side box plots c. counts and corresponding charts of the counts (e.g. crosstabs) d. all of these choices

The Pythagorean theorem is a fundamental concept in geometry that relates the lengths of the sides of a right triangle. It states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, it can be expressed as:

a² + b² = c²

where a and b are the lengths of the two legs of the right triangle, and c is the length of the hypotenuse.

The converse of the Pythagorean theorem states that if the square of the length of one side of a triangle is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.

The Pythagorean theorem is a powerful tool in solving problems involving right triangles. It allows us to calculate unknown side lengths or determine whether a triangle is a right triangle based on the lengths of its sides. It has numerous applications in various fields, including engineering, architecture, physics, and navigation.

Understanding the Pythagorean theorem and its converse is essential for working with right triangles and applying geometric principles. It provides a foundation for further exploration of trigonometry and advanced geometric concepts.

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Answer:

127

Step-by-step explanation:

since the bottom is flat these are supplementary angles, which are angles that together equal 180.

to fine angle A just subtract the known angles from the whole

180-15-38=127

f(x) = x^2 - 5x for the domain 2,4,7

whywh

Answer:

12x

Step-by-step explanation:

5x - 6x + 2 * 4 x 2 - 3x

5x - 6x + 16x - 3x

12x

Answer:

There were 12 cranes in class yesterday. For all the cranes, there were a total of 290 centimeters.

Step-by-step explanation:

41-29=12.

29*10=290

Answer:

27 is 30% of what number?

D. 90

Step-by-step explanation:

You're welcome.

Answer:

2 3/16

Step-by-step explanation:

It's simple math :D

NOVEMBER QUOTE!

Ooo! It's fall and thanksgiving time! I gotta get prepared for Thanksgiving and so my friends will come over! Fun! - Ash the Fox

(sorry that ones so long- ;-;)

Answer:

Total is 3

Step-by-step explanation:

AI-generated answer

Let's start by finding out how many marbles John had initially. We can do this by using the information given in the problem.

Let the original number of marbles be x.

John gave away 3/4 of his marbles, which means he has 1/4 of the original number of marbles left. We can express this as:

1/4 x = the number of marbles John has left

If we solve for x, we get:

4/1 * 1/4 x = 4/1 * the number of marbles John has left

x = 4 * the number of marbles John has left

Now we know that John had 4 times the number of marbles he has left.

Next, John receives another bag of marbles containing 2/4 (which is the same as 1/2) of the original number of marbles.

We can express this as:

1/2 x = the number of marbles in the new bag

To find the total number of marbles John has now, we can add the number of marbles he has left to the number of marbles in the new bag:

Total number of marbles = the number of marbles John has left + the number of marbles in the new bag

Total number of marbles = 1/4 x + 1/2 x

Total number of marbles = (1/4 + 1/2) x

Total number of marbles = (3/4) x

We know that x = 4 times the number of marbles John has left, so we can substitute this into the equation:

Total number of marbles = (3/4) * 4 * the number of marbles John has left

Total number of marbles = 3 * the number of marbles John has left

Therefore, the total number of marbles John has now is 3 times the number of marbles he has left.

Tell me in the commets if you didn't understand a word or something in the equation. :)

The given linear function is \(f (h) = - \frac{1}{5} x + 3\). The graph is attached at the end.

Let the independent variable be x.

It is given in the question:

Value of the function, h at 0 = 3

Thus, h(0) =3

Also, when the independent variable decreases by 5, the dependent variable increases by 1.

So, slope = -\(\frac{1}{5}\)

y-intercept = 3

We know the linear equation is-

y = mx + b ... (i)

where y ⇒ linear function

m ⇒ slope of the line

x ⇒ independent variable

b ⇒ y-intercept

Putting the values of each term in equation (i), we get:

\(h (x) = - \frac{1}{5} x + 3\)

We can plot this equation in a graph, as attached below.

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The complete question is:
Graph the function with the given description. A linear function h models a relationship in which the dependent variable increases 1 unit for every 5 units the independent variable decreases. The value of the function at 0 is 3.

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Answer:

hiro and brenda

Step-by-step explanation:

To find the volume of the solid with equilateral triangular cross-sections, we need to integrate the area of each equilateral triangle over the interval [0,π]. The area of an equilateral triangle with side length s is given by (s^2√3)/4. Since the triangles have bases running from the x-axis to the curve y=2√sin x, their side lengths will be 2√sin x. Therefore, the volume is given by the integral:

V = ∫[0,π] (2√sin x)^2√3/4 dx

Simplifying, we get:

V = √3∫[0,π] sin x dx

Using the substitution u = cos x, we get:

V = √3∫[-1,1] √(1 - u^2) du

Using the formula for the integral of the half-circle, we get:

V = (√3/2)π

Therefore, the volume of the solid is (√3/2)π.

To find the volume of the solid with square cross-sections, we need to integrate the area of each square over the interval [0,π]. Since the squares have bases running from the x-axis to the curve y=2√sin x, their side lengths will be 2√sin x.

Therefore, the volume is given by the integral:

V = ∫[0,π] (2√sin x)^2 dx

Simplifying, we get:

V = 4∫[0,π] sin x dx

Using the identity ∫sin x dx = -cos x + C, we get:

V = -4cos x ∣[0,π]

Since cos π = -1 and cos 0 = 1, we get:

V = -4(-1 - 1) = 8

Therefore, the volume of the solid is 8.

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Answer: The answer is B) y < 0

Answer: B

Step-by-step explanation:

The lifting force if the speed is 220 miles per hour is F' = 708.53 N.

The force of light, or simply light, is the sum of all forces on an object that cause the object to move perpendicular to the direction of flow.

The most common type of lift is the wing lift. But there are many other common uses, such as propellers on airplanes and ships, rotors on helicopters, fan blades, sails on sailboats, and wind turbines.

We have,

The lifting force, F, exerted on an airplane wing varies jointly as the area, A, of the wing's surface and the square of the plane's velocity, v. It, means that,

\(F=kAv^{2}\)

Where

k is constant

If, A = 190 Ft², v = 220 mph, F = 950 pounds

Now, find k first from the above data. So,

    \(k=\frac{F}{Av^{2} }\)

⇒ \(k=\frac{950}{190* (220)^2}\)

⇒ k = 0.0001033

It is required to find the lifting force on the wing if the plane slows down to 190 miles per hour.

Let F' is a new force. So,

    F' = 0.0001033 × 190 × (190)²

⇒ F' = 708.53 pounds.

So, the lifting force is 708.53 pounds if the plane slows down to 190 miles per hour.

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Answer:

\(x=6+3\sqrt{2}\) is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = \(12 -2x\), height of the box = x

Volume of square box = Area * height = \((12-2x)^2 * x\)

Differentiating the above equation and equating it to zero, we get –  

d/dx \(((12-2x)^2 * x)\)

d/dx\({(144 + 4x^2 -48x)*x}\)= d/dx \((144x + 4x^3 -48x^2)\)

d/dx \((144x + 4x^3 -48x^2) = 0\)

\(144+8x^2-96X= 0\\18 +X^2-12X = 0\)

On solving above equation, we get –  

\(x=6+3\sqrt{2} \\ x=6-3\sqrt{2}\)

Answer:  15x + 25y = 4500

Step-by-step explanation:

The cost per general admission tickets is $15  and if x is used to represent the number of general admission tickets then 15 has to be multiplied by  x  and that gives the expression   15x  

The same with the VIP tickets, each one cost $25 and y is used to represent the number of VIP tickets sold, so if you want to find out how much a number of VIP tickets cost then you will have to multiply 25 by y  and that derives the expression  25y.

A combination of both tickets has to equal $4500 because that is amount they were both sold to get in total.

15x + 25y = 4500

Population in this case is the total number of students entering Madison Hall, which is 500.

In this case, the total number of students entering Madison Hall is used to define the population. The population can be defined as a group of individuals, objects, events, or other components that share common characteristics or properties.

In this context, the population is limited to the students entering Madison Hall and does not include the larger student body or the faculty and staff at the college. By focusing on this population, the administrator can gain insights into the parking situation and make informed decisions about how to improve it. In order to obtain a representative sample of the population, it is important to select participants randomly and without bias. This ensures that the sample accurately reflects the characteristics of the population and reduces the risk of obtaining inaccurate or misleading results.

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Answer:

y divided by k

Step-by-step explanation:

Answer:

Step-by-step explanation:

240-17^2-> 240-289= -49

9x8=72/-24= -3

-49x-3=147

Answer

5 and 6

Step-by-step explanation:

First | Find the square root of √30 (Put it in the calculator)

Answer | 5.47722557505...

Second | Round the number to the tenths

Anwer | 5.5 (ect the number in the hundreths place is greater than 5 so you bump up the 4 by 1 so 5.4 to 5.5)

Third | Get a line and see where 5.5 belongs it cant be 4 and 5 since the answer will need to be 4 or 5.0

Concusion | Here are the steps to find the answer hope this helped!

Answer:

JK = 72

Step-by-step explanation:

JL = JK + KL = (4x+8) + (6x-6) = 10x + 2 = 162

--> x = (162-2)/10 = 16

JK = 4x + 8 = 4 . 16 + 8 = 72

The function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

In this problem we have two functions related to each other because of the existence of rigid transformations. Rigid transformations are transformations applied to geometric loci such that Euclidean distance is conserved at every point of the geometric locus.

Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of horizontal translation 4 units in the + x direction:

f'(x) = - 2 · cos (x - 1 + 4) + 3

f'(x) = - 2 · cos (x + 3) + 3     (1)

Now we apply a reflection over the x-axis:

g(x) = - [- 2 · cos (x + 3) + 3]

g(x) = 2 · cos (x + 3) - 3

Therefore, the function g(x) is created by applying an horizontal translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)

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The value of the sum of squares due to regression (SSR) is 17.43.

Certainly! In statistics, the sum of squares is a measure that quantifies the variability or dispersion of data points around a certain value. It is commonly used in regression analysis to assess how well a regression line or model fits the observed data.

The total sum of squares (SST) represents the total variability in the dependent variable, which is the sum of the squared differences between each data point and the overall mean of the dependent variable. It is a measure of the total deviation of the data points from the mean.

The sum of squares due to error (SSE), also known as the residual sum of squares, represents the unexplained variability in the dependent variable after accounting for the regression model. It is calculated by summing the squared differences between the observed values and the predicted values from the regression model.

The sum of squares due to regression (SSR), also known as the explained sum of squares, represents the variability in the dependent variable that can be attributed to the regression model. It is calculated by subtracting the SSE from the SST.

In the given scenario, the SST is 23.32 and the SSE is 5.89. By subtracting the SSE from the SST, we obtain the SSR. Substituting the values:

SSR = SST - SSE

   = 23.32 - 5.89

   = 17.43

Therefore, the value of the sum of squares due to regression (SSR) is 17.43.

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Answer:

11.5 cm

Step-by-step explanation:

Set up a system of equations and simplify.

l = w + 5

2l + 2w = 36

Substitute w + 5 for l

2w + 10 + 2w = 36

4w + 10 = 36

4w = 26

w = 6.5

l = 6.5 + 5

l = 11.5

The first model of inequality satisfy the problem i.e 2w + 2* 4w ≤ 106

A rectangle is a four-sided, two-dimensional flat shape. The opposite sides of a rectangle's four sides are parallel and equal to one another. It belongs to a category of quadrilaterals where each of the four angles is a straight angle or measures 90 degrees. A particular kind of parallelogram that has all of its angles equal is the rectangle. A square is a rectangle with four equally sized sides. Let's now explore the characteristics of the rectangle in this essay.

Rectangles' essential characteristics are as follows:

A rectangle is a parallelogram.

The Perimeter of the rectangle is 2a + 2b where a and b are the two sides

Now , if w is the width of the rectangle then, the length is 4w given in problem.

Perimeter,

2w + 2* 4w

As it is given in the problem

2w + 2* 4w ≤ 106

The first model of inequality satisfy the problem.

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A distance-time graph below shows a car travelling then the Speed of the car is 8.88 miles per hour

Speed is the time rate at which an object is moving along a path,

A distance-time graph below shows a car travelling

We know that speed is distance by time

From the graph the distance is 80 and time is 9

Speed= 80/9

=8.88 miles per hour

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Answer:

Step-by-step explanation:

Boreal forests are characterized by needle-leaved, drought tolerant, evergreen trees, and a climate consisting of long, cold winters and short, cool summers.

Answer:

5+23+18+8+4,=100

Step-by-step explanation:

plus

The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

5 + 23 + 18 x (8 - 4) = 100

Simplify the expression, then we have

5 + 23 + 18 x (8 - 4) = 100

5 + 23 + 18 x 4 = 100

28 + 72 = 100

100 = 100

The expression is written with parentheses and the signs will be 5 + 23 + 18 x (8 - 4) = 100.

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The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either Success or Failure.

For p = 0.18, 0.50, and 0.82, to obtain the binomial probability distribution and a bar chart of each distribution, the following steps are to be followed:

First, use the binomial distribution formula, which is: P(x) = (nCx)(p)x(q)n-x,

Where: n is the number of trials, p is the probability of success on a single trial, q is the probability of failure on a single trial (q = 1 − p), and x is the number of successes.

Consequently, for p = 0.18, 0.50, and 0.82, the following probabilities were calculated:

n = 10,

p = 0.18,

q = 1 - 0.18 = 0.82,

and x = 0, 1, 2, ...,

10P(0) = 0.173,

P(1) = 0.323,

P(2) = 0.292,

P(3) = 0.165,

P(4) = 0.066,

P(5) = 0.020,

P(6) = 0.005,

P(7) = 0.001,

P(8) = 0.000,

P(9) = 0.000,

P(10) = 0.000n = 10,

p = 0.50,

q = 1 - 0.50 = 0.50,

and x = 0, 1, 2, ...,

10P(0) = 0.001,

P(1) = 0.010,

P(2) = 0.044,

P(3) = 0.117,

P(4) = 0.205,

P(5) = 0.246,

P(6) = 0.205,

P(7) = 0.117,

P(8) = 0.044,

P(9) = 0.010,

P(10) = 0.001n = 10,

p = 0.82,

q = 1 - 0.82 = 0.18,

and x = 0, 1, 2, ...,

10P(0) = 0.000,

P(1) = 0.002,

P(2) = 0.017,

P(3) = 0.083,

P(4) = 0.245,

P(5) = 0.444,

P(6) = 0.312,

P(7) = 0.082,

P(8) = 0.008,

P(9) = 0.000,

P(10) = 0.000

Bar chart of each distribution:  After calculating the probability distribution for each value of p, the following bar chart of each distribution was drawn.

The binomial probability distribution and the bar chart for each p-value, i.e., p = 0.18, 0.50, and 0.82, were obtained. The probability of success for each value of x was computed using the binomial distribution formula. The bar chart of each distribution helps in visualizing the probability distribution.

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