Triangles A B C and F D E are shown. Angle A C B is 83.5 degrees. Angle D E F is 62.7 degrees. The lengths of sides B C and D E are congruent. The lengths of sides E F and C A are congruent. Given Line segment A C is-congruent-to line segment F E and Line segment C B is-congruent-to line segment E D which statement is correct?

For each sample size, calculate all possible sample averages. To do this, you need to take all combinations of the numbers in the collection for that sample size and calculate their averages.

To create a histogram of the distribution of all possible sample averages calculated from samples drawn with replacement from the collection of numbers {1, 2, 7, 8, 14, 20}, we need to calculate the sample averages for all possible sample sizes.

Here's how you can do it step by step:

Find all possible sample sizes. In this case, we have a collection of six numbers, so the sample sizes can range from 1 to 6.

For each sample size, calculate all possible sample averages. To do this, you need to take all combinations of the numbers in the collection for that sample size and calculate their averages.

For example, for a sample size of 2, we have the following combinations:

{1, 1}, {1, 2}, {1, 7}, {1, 8}, {1, 14}, {1, 20},

{2, 2}, {2, 7}, {2, 8}, {2, 14}, {2, 20},

{7, 7}, {7, 8}, {7, 14}, {7, 20},

{8, 8}, {8, 14}, {8, 20},

{14, 14}, {14, 20},

{20, 20}.

Calculate the average for each combination and record them.

Repeat step 2 for each sample size, calculating all possible sample averages.

Once you have calculated the sample averages for all possible sample sizes, create a histogram to visualize their distribution.

Here's an example of how the histogram might look, assuming the y-axis represents the frequency of each sample average:

  Frequency

     |  **

     |  ****

     |  *******

     |  *********

     |  **********

     |  ********

     ________________

         Sample Averages

Note that the exact shape and number of bars in the histogram will depend on the calculated sample averages and their frequencies.

To know more about averages visit:

https://brainly.com/question/30354484

#SPJ11

In statistics, a histogram is used to represent the frequency distribution of continuous or discrete data.

To create a histogram of the distribution of all possible sample averages calculated from samples drawn with replacement, follow the steps outlined below:

Step 1: Determine the sample size. The number of elements in each sample is referred to as the sample size (n).

In this case, n = 2 because there are six numbers in the collection.

Step 2: Calculate the possible sample averages. All possible samples of size 2 can be taken from the collection of numbers, and the mean of each sample can be computed.

The list of sample means is as follows:

{1, 1.5, 4, 4.5, 9.5, 10, 4.5, 5, 7.5, 8, 12, 12.5, 9.5, 10, 13.5, 14, 12.5, 13, 17, 17.5, 7.5, 8, 11.5, 12, 16, 16.5}

Step 3: Determine the frequency of each sample mean. The frequency of occurrence of each sample mean in the list should be counted and recorded. To count the frequency, a tally chart may be used.

The frequency of each sample mean is represented on the vertical axis of the histogram.

Step 4: Draw the horizontal axis and vertical axis. The horizontal axis should represent the possible sample averages, and the vertical axis should represent the frequency of each sample average.

Step 5: Create a histogram. Using the data obtained from step 3, a histogram can be created. The histogram of the distribution of all possible sample averages calculated from samples drawn with replacement is shown below:

Histogram of the distribution of all possible sample averages

To know more about histogram visit:

https://brainly.com/question/16819077

#SPJ11

We can use Coulomb's law to calculate the magnitude of the electric field at a distance r away from a point charge Q:

E = k * Q / r^2

where k is Coulomb's constant, Q is the charge of the point charge, and r is the distance from the point charge.

In this problem, we have a point charge Q of -10 nC located at (1.2 cm, 0 cm), and we want to find the x-component of the electric field at a distance r = 5.3 cm away at position (-4.1 cm, 0 cm).

To find the x-component of the electric field, we need to use the cosine of the angle between the electric field vector and the x-axis, which is cos(180°) = -1.

So, the x-component of the electric field at position (-4.1 cm, 0 cm) is:

E_x = - E * cos(180°) = - (k * Q / r^2) * (-1)

where k = 9 x 10^9 N*m^2/C^2 is Coulomb's constant.

Substituting the given values, we get:

E_x = - (9 x 10^9 N*m^2/C^2) * (-10 x 10^-9 C) / (0.053 m)^2

E_x ≈ -30,566.04 N/C

Rounding this to two significant figures and including the appropriate units, we get:

The x-component of the electric field is about -3.1 x 10^4 N/C (to the left).

Answer:

-1.25

Step-by-step explanation:

To find the slope you must use 2 points. For this graph, two points that work are (0,5) and (4,0). Then find the rise over run, which is the change in y over the change in x. Do this by using the slope formula, \(\frac{y_{2} - y_{1} }{x_{2}- x_{1} }\). Once plugged in this should simplify to -5/4. In decimal form, this equals -1.25.

A point in the solution of the system of inequalities is (2, 0.5)

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

21x>5y+49x>2y>2-28x>2y

Express properly

So, we have the following representation

21x > 5y+49

x > 2y

2 - 28x > 2y

Next, we plot the graphs of the inequality expressions on a plane

(See attachment for the graph)

The shaded region represent the solution

And a point in this region is (2, 0.5)

Read more about inequality at

https://brainly.com/question/25275758

#SPJ1

Answer:

y=3x-1

Step-by-step explanation:

Not enough context

Hope this helps!

:)

This is known as the Pythagorean Theorem and states that the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b).

Area is a measure of the size of a surface or space. It is typically measured in two-dimensional units such as square meters, square kilometers, and acres. Area is also used to measure the size of three-dimensional objects such as cubes and spheres. Area is a fundamental concept in mathematics and is often used to calculate the perimeter, circumference, and volume of shapes. In physics, area is used to measure the amount of energy an object absorbs or releases.

This theorem is one of the most famous theorems in mathematics, and is found in several ancient mathematical texts, including those from the Babylonians and Chinese. The theorem is attributed to the Greek mathematician Pythagoras, who lived in the 6th century BC.

The theorem can be expressed in the equation \(a^{2}+ b^{2} = c^{2}\), where a and b are the lengths of the two legs of the right triangle and c is the length of the hypotenuse. This equation can be used to calculate the length of the hypotenuse if the lengths of the two other sides are known. For example, if the two legs of a right triangle have lengths of 3 and 4, the length of the hypotenuse can be calculated using the equation \(3^{2} + 4^{2}\) = \(c^{2}\), which results in c = 5.

The Pythagorean Theorem can be used to solve many mathematical problems related to triangles, as well as to solve problems in other areas such as geometry, physics, and engineering. In addition, the theorem is often used to prove theorems in mathematics, such as the law of cosines.

To know more about area click-

brainly.com/question/28012687

#SPJ1

Complete question is:

In pythagoras theorem, the sum of the areas of two squares on the legs (a and b) equals the area of the square on the hypotenuse (c) that is . discuss.

The value of angle BAC is 132°

A quadrilateral is a a type of polygon with four sides. The sum of angle in a quadrilateral is 360°.

A theorem in circle geometry states that the angle between radius and tangent is 90°.

This means that angle DBA and angle DCA are 90°

Angle D is 48°

The sum of angle In a quadrilateral is 360°

Therefore 48+90+90 + x = 360°

228 +x = 360

x = 360 - 228

x = 132°

Therefore the value of angle BAC is 132°

learn more about angle in quadrilateral from

https://brainly.com/question/21504609

#SPJ1

Answer:

-1

Step-by-step explanation:

Since the denominators are the same, then we add the numerators

-6+-5/11

-11/11

-1

Step-by-step explanation:

-6/11 - 5/11 = -11/11

1. The fraction of -5/11 stays negative because -*+ = -. So the fraction stays negative.

2. Then, you can add the two fractions because they are both the same sign and also have the same denomination.

The answer is -1 or -11/11.

Hope this helped,

Kavitha

Answer:

B.

Step-by-step explanation:

To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.

Answer:

False

Step-by-step explanation:

2 is next to a variable making it a coefficient.

Answer:

False

Step-by-step explanation:

The constant is 8 because it stands alone and has a fixed value 2 does not stand alone and does not have a fixed value

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

Learn more about Correlation here

https://brainly.com/question/3417475

#SPJ4

Answer:
Cluster : 60,61,62,63
Gaps: 64,65 , 69,70
Outlier: 71
This is what I learned so don't blame me please!

Step-by-step explanation:

Cluster is numbers all on one side. Outlier can be the largest number or lowest. Normally the alone one.

Answer:

1.7 × 10^2.

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

Answer:

d=120-75

Step-by-step explanation:

so that means d=45

The remainder when the sum \($1^5 2^5 3^5 \cdots 99^5 100^5$\) is divided by 4 is 0.

Explanation:

You can learn more about divisibility rule at

https://brainly.com/question/9462805

#SPJ4

The number of students that leave by bus or car is given as follows:

5801 students.

The union and intersection sets of multiple sets are defined as follows:

The or operation is equivalent to the union operation, meaning that we add the number of students that leave by bus to the number of students that leave by car.

Hence the number of students that leave by bus or car is given as follows:

3232 + 2549 = 5801 students.

More can be learned about union and intersection at brainly.com/question/4699996

#SPJ1

Answer:

x = 1 and y = 1

Step-by-step explanation:

2x/y + y/x = 3

3x - y = 2

we first of all get the simple equation from the two equations and in this case we will use substitution method

3x - y = 2

then we make y the subject of the formula

y = 3x - 2

let's use y on the top equation to substitute

2x/y + y/x = 3

2x/3x - 2 + 3x - 2/x

like terms cancel

thus:

2x/1 + 1/x = 3

3x -2x = 1

x = 1

AND since we have x, we still use substitution method to find y

3x - 2 = y

3 (1) - 2 = y

3 - 2 = y

y = 1

Using the area of rectangle, the dimensions of the rectangle with maximum area are 5√2 and 5/√2.

In the given question we have to find the dimensions of the rectangle with maximum area.

Given Semicircle Radius is 5.

As we know that standard equation of circle is \(x^2+y^2=a^2\)

a=5, so the equation is \(x^2+y^2=(5)^2\)

\(x^2+y^2=25\)

Therefore, Half circle y=\(\sqrt{25-x^2}\)

Area of Rectangle(A) =xy

Because Half of the rectangle is lies in first quadrant and half lies in second quadrant

Therefore,

Area of Rectangle(A) = 2xy

Now putting the value of y

Area(A) = 2x\(\sqrt{25-x^2}\)

Here we need to maximize the area of Rectangle, so find derivative and set equal to zero.

A'= \(\frac{d}{dx}(2x\sqrt{25-x^2})\)

A'= 2\([x\frac{d}{dx}\sqrt{25-x^2}+\sqrt{25-x^2}\frac{d}{dx}x]\)

A'= 2\([x\cdot\frac{-x}{\sqrt{25-x^2}}+\sqrt{25-x^2}\cdot1]\)

A'= 2\([\frac{-x^2}{\sqrt{25-x^2}}+\sqrt{25-x^2}]\)

A'= 2\((\frac{-x^2+25-x^2}{\sqrt{25-x^2}})\)

A'= 2\((\frac{25-2x^2}{\sqrt{25-x^2}})\)

For critical Number A' = 0

2\((\frac{25-2x^2}{\sqrt{25-x^2}})\) = 0

25-2x^2 = 0

2x^2=25

x^2=25/2

x=±√25/2

x=±5/√2

Therefore,

Base of the Rectangle = 2x

Base of the Rectangle = 2×5/√2

Base of the Rectangle = 5√2

and

height of rectangle = \(\sqrt{25-x^2}\)

height of rectangle = \(\sqrt{25-(5/\sqrt{2})^2}\)

height of rectangle = \(\sqrt{25-(25/2)}\)

height of rectangle = √(50-25)/2

height of rectangle = √25/2

height of rectangle = 5/√2

Hence, the dimensions of the rectangle with maximum area are 5√2 and 5/√2.

To learn more about area of rectangle link is here

brainly.com/question/20693059

#SPJ4

The density of z:=y-x is found to be z.e⁻ᶻz for the given joint probability density function.

Given, x and y have the joint probability density function

f(x,y) = e⁻ˣ⁻ʸ¹(0,∞)(x)¹(0,∞)(y).

We have to compute the density of z:

=y-x.

Now, let's use the transformation method to compute the density of z:

=y-x.

We are given, z:

=y-x,

hence y:

=z+x.

Now, let's solve for x and y in terms of z,

∴ x=y-z

From the above equation,

∴ y=z+x

As we know,

|J| = ∂x/∂u.∂y/∂v − ∂x/∂v.∂y/∂u|

where u and v are the new variables.

Here, the Jacobian is as follows,

|J|=∂x/∂z.∂y/∂x − ∂x/∂x.∂y/∂z

|J|=1.1−0.0

|J|=1

Now, let's compute the joint probability density of z and x.

f(z,x) = f(z+x,x) |J|

f(z+x,x)|J|=e⁻⁽ᶻ⁺ˣ⁾⁻ˣ₁(0,∞)(z+x)₁(0,∞)(x)

|J|f(z,x) = e⁻ᶻ¹(0,∞)(z) ∫ e⁻ˣ₁(0,∞)(x+z) dx

f(z,x) = e⁻ᶻ¹(0,∞)(z) ∫ e⁻ᶻ ᵗ ᵈᵗ

f(z,x) = e⁻ᶻ[e⁻ᶻ ∫ dx]¹(0,∞)(z)

f(z,x) = ze⁻ᶻz¹(0,∞)(z)

Know more about the joint probability

https://brainly.com/question/30224798

#SPJ11

Answer:

7°F

Step-by-step explanation:

-9 - -2 = -7

Answer: 8

Step-by-step explanation:

By conducting a comprehensive SI, engineers and designers can make informed decisions and implement suitable measures to address any potential challenges or risks associated with the proposed structures.

To gather the necessary information for an SI, the following types of data are typically required:

1. Geological information: This includes the composition and characteristics of the soil and rock formations on the site. This information helps determine the stability of the ground and potential risks such as landslides or sinkholes.

2. Geotechnical data: Geotechnical investigations involve soil and rock testing to assess their strength, density, and permeability. This data is vital for designing foundations and determining the bearing capacity of the ground.

3. Groundwater information: Understanding the groundwater levels and flow patterns is essential for designing drainage systems and preventing water-related issues like flooding or excessive moisture.

4. Environmental data: This includes information about the presence of pollutants, contaminants, or protected species in the area. It helps ensure compliance with environmental regulations and enables appropriate mitigation measures.

5. Archaeological data: If the site has historical significance, an archaeological investigation may be necessary to identify and preserve any cultural artifacts or structures.

By conducting a comprehensive SI, engineers and designers can make informed decisions and implement suitable measures to address any potential challenges or risks associated with the proposed structures.

learn more about engineers from given link

https://brainly.com/question/27158518

#SPJ11

To determine which differential equation(s) are linear, we need to examine the form of each equation. A linear differential equation is one that can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x), b(x), c(x), and g(x) are functions of x.

The differential equation 2xy" - 5xy' + y = sin(3x) is linear. It can be written in the form a(x)y" + b(x)y' + c(x)y = g(x), where a(x) = 2x, b(x) = -5x, c(x) = 1, and g(x) = sin(3x).
The differential equation (v)² + xy = In(x) is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (v)², where v represents the derivative of y with respect to x. This term does not have a linear coefficient.
The differential equation y' + sin(y) = e^(3x) is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = sin(y), and g(x) = e^(3x).
The differential equation (x²+1)y" - 3y - 2x³y = -x - 9 is not linear. It does not follow the form a(x)y" + b(x)y' + c(x)y = g(x) because it contains a term with (x²+1)y", where the coefficient is a function of x.
The differential equation y' + xy = y" is linear. It can be written in the form a(x)y' + b(x)y = g(x), where a(x) = 1, b(x) = x, and g(x) = y".

Learn more about differential equation here
https://brainly.com/question/32524608



#SPJ11

Answer:

282828

75

Step-by-step explanation:

Answer:

Mixed number: 16 4/5

Improper fraction: 84/5

Decimal: 16.8

Step-by-step explanation:

:)

Answer:

16 4/5

Step-by-step explanation:

improper=84/5

Answer:

zkxlllllllllllllllllllllllll

Step-by-step explanation:

Answer:a² + b² = c²

c² = 8² + 5²

c² = 89

c = √89

c = 9.4 miles

Step-by-step explanation:

Answer:

ddd

dStep-by-step explanation:

ddd

Answer:

Got it right again!

Hope this helps:)

I think I'll just answer each new question you make since I knwo all the answers already. lol

Answer:

Love the 50 points. The answer is 3 = x + 36