what is the probability that x is within 1 standard deviation from its mean value? hint: find the p(x-x ≤ x ≤ x x) (round your answer to four decimal places.)

The length of the diagonal of the rectangle is 11.7 units.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the area of a rectangle is 44 square units. Its length measures 11 units.

Area = L x W

44  = 11 x W

W = 4 units

D² = W² + L²

D = √ ( 11² + 4 ²)

D = √ ( 121 + 16)

D = 11.7 units'

Therefore, the measure of the diagonal is 11.7 units.

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The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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The universal theme of this passage is humanity’s search for meaning in the world.

A universal theme is an idea that applies to everyone regardless of cultural variations or geographic region. frequent subject matters are approaches to connect thoughts across all disciplines.

it's miles a critical concept about the human situation. it is a generalization about lifestyles or human nature; they address simple human issues.

instance: In locating Nemo, the author believes that a person must learn how to consider themselves and others. trace: don't use man or woman names or specific details… hold it regular via the use of “someone” or “one” as an alternative!

The most compelling and widely universal meanings are well-known concepts, thoughts, and notions that nearly every person can relate to, however, do no longer mean identical to any two humans.

Examples of familiar ideas include joy, death, circle of relatives, struggling, love, and beginning.

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The process of adding the matrix is explained blow.

Matrices are powerful tools used to analyze data and solve complex equations.

A 3x3 matrix, or E₁₃, is a matrix composed of 3 rows and 3 columns. It can be used to perform various operations, including adding two rows together.

(a) To answer the first question, a 3x3 matrix E₁₃ can add row 3 to row 1 by performing a row operation. This involves taking the second row and adding it to the first, thus adding the values on each row together.

(b) To answer the second question, a 3x3 matrix E₁₃ can add row 1 to row 3 and at the same time add row 3 to row 1 by performing a row exchange operation. This results in a 3x3 matrix where each value in the first row is equal to the corresponding value in the third row.

(c) To answer the third question, a 3x3 matrix E₁₃ can add row 1 to row 3 and then add row 3 to row 1 by performing two separate row operation and then taking the third row and adding it to the first, thus adding the values of each row together again.

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A particular practice called "Guess the Pattern" caught my attention as I browsed through my 10-year collection of workouts. You are trying to determine a pattern of five colors that is loosely based on the popular board game Mastermind. With this twist, you get to decide how much feedback you want to get on your predictions.

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If the cost of advertising was $100,000 and the reach or circulation was 10,000,000 people, then the CPM is $10.

Cost per thousand (CPM), which is also called cost per mille, is a marketing word used to denote the price of 1,000 advertisement prints on one web page. If a publisher of a website charges $2.00 CPM, that means an advertiser must pay $2.00 for every 1,000 prints of its ad.

The CPM is calculated by dividing the cost of the advertisement by the number of people reached and then multiplying by 1000.

Given that the cost of advertising was $100,000 and the reach was 10,000,000 people, the CPM can be calculated as follows:

CPM = ($100,000 / 10,000,000) × 1000 = $10.

So, the CPM is $10.

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The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)

Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.

In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.

The vector from tail to head can be written as:

Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)

Therefore, the vector from head to tail is:

Head to Tail = – (2, -4, 4) = (-2, 4, -4)

The coordinates of the vector from head to tail are (-2, 4, -4).

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The points of intersection are (-0.4, -0.2) and (2.8, 16.8). The smallest x-value is -0.4 and the largest x-value is 2.8.

To graph the curves y = x^5 and x = y(y - 1)^2, first plot the points on the graph for y = x^5. This can be done by substituting in values for x and then finding the corresponding values for y. For example, when x = -3, y = -3^5 = -243. When x = 0, y = 0^5 = 0. When x = 3, y = 3^5 = 243. After plotting the points, draw a smooth curve connecting them. Next, plot the points on the graph for x = y(y - 1)^2. This can be done by substituting in values for y and then finding the corresponding values for x. For example, when y = -2, x = -2(-2 - 1)^2 = -2(-3)^2 = 18. When y = 0, x = 0(0 - 1)^2 = 0(-1)^2 = 0. When y = 4, x = 4(4 - 1)^2 = 4(3)^2 = 36. After plotting the points, draw a smooth curve connecting them. The curves intersect at two points. The points of intersection are (-0.4, -0.2) and (2.8, 16.8). The smallest x-value is -0.4 and the largest x-value is 2.8.

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Answer:

62 square feet.

Step-by-step explanation:

7*5=35, 9*3=27, 35+27=62

Plot the point (1 and 1/2, 5 ) in the coordinate plane is Attached below.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given,  the point (1 and 1/2, 5 ) in the coordinate plane

Since, Point at x = 1 1/2 the value of y = 5

In coordinate plane,

x = 1 1/2 represents that Point is 1 1/2 units right to the origin point that is (0, 0).

And  y = 5 represents that Point is 5 units upward to the origin point that is (0, 0).

therefore, the graph of (1 1/2 , 5) is attached below.

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Graph B is misleading because Vertical scale does not begin with zero.

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given, Comparing Theater Sales 200 150 100 50 0 Bud's Movies Theater Bud's Movies Super Cinema.

1) Figure 1 will compare A looks Bars have more discrepancy Because rectangular columns seem to have a larger area.

2) vertical scale dose not begin with zero. The scale of Statistical tables generally Starts from 0.

therefore, Graph B is misleading because Vertical scale does not begin with zero.

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Complete question:

Answer:

D. The mathematical work is correct.

Step-by-step explanation:

The student precisely squares both sides of the equation correct 2x + 11 = 12.5 by multiplying both sides by 2x + 11, resulting in (2x + 11)^2 = (12.5)^2. The student then isolates the variable x by subtracting 11^2 from both flanks of the equation and dividing both sides by 2. This results in x = -9.5. So, the student's solution and the mathematical result are correct.

The unknown area of A for each shapes are:

Please note that the question no. 6 was unable to be answered because the screenshots provided was not full enough.

To help us on answering these questions, we refer to the unknown area of A as area' and the known area as area. The unknown area's side or base will be noted as base' or side' and the known area's side and base as side or base.

1. Area = 4cm²

Base = 3cm

Base' = 6cm

Area of triangle = 1/2 base x height

4cm = 1/2 (3) h

h = 8/3

base / base' = height / height'

3 / 6 = 8/3 / height'

height' = 16/3

Area' = 1/2 base' x height'

Area' = 1/2 (6) x (16/3)

Area' = A = 16

2. Area = 3cm²

Base = 2cm

Base' = 6cm

Area of triangle = 1/2 base x height

3cm = 1/2 (2) h

h = 3

base / base' = height / height'

2 / 6 = 3 / height'

height' = 9

Area' = 1/2 base' x height'

Area' = 1/2 (6) x (9)

Area' = A = 27

3. Area = 5cm²

Base = 6cm

Base' = 9cm

Area of triangle = 1/2 base x height

5cm = 1/2 (6) h

h = 5/3

base / base' = height / height'

6 / 9 = 5/3 / height'

height' = 5

Area' = 1/2 base' x height'

Area' = 1/2 (9) x (5)

Area' = A = 22.5

4. Area = 58cm²

Base = 20cm

Base' = 10cm

Area of triangle = 1/2 base x height

58cm = 1/2 (20) h

h = 5.8

base / base' = height / height'

20 / 10 = 5.8 / height'

height' = 2.9

Area' = 1/2 base' x height'

Area' = 1/2 (10) x (2.9)

Area' = A = 14.5

5. Area = 18cm²

Length = 6cm

Wide' = 8cm

Area of rectangle = lenght x wide

18 = 6 x wide

wide = 3

Lenght / Length' = Wide / Wide'

6 / Length' = 3 / 8

Lenght' = 16

Area' = Lenght' x wide'

Area' = 16 x 8

Area' = A = 128

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Graphs can be shifted vertically in both straight and curved lines.

Graphs can be vertically moved in both linear and curvilinear directions. Add or remove a number from the constant to change the equation's graph vertically. G(x) = f(x) + c and G(x) = f(x) - c are the formulas for an upward and a downward shift, respectively.

Given a function f, a new function g(x) = f(x - h) is created, where h is a constant. This new function is a horizontal shift of the original function f. Graph shifts to the right if h is positive. If h is low, the graph will move to the left.

Given a function f(x), a new function g(x) = f(x) + k is created, which is a vertical shift of the original function f(x). The output values all shift outward by k units. The graph will move upward if k is positive. The graph will tilt downward if k is negative.

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153,9 % d'augmentation

Answer:

In order of appearance in the image:

Two solutions

No solutions

Infinite solutions

No solutions

Step-by-step explanation:

Let's evaluate the systems of equations one by one:

[tex]\left \{ {{x-y=3} \atop {3x+y=1}} \right.[/tex]

Let's solve this system of equations:

[tex]x=3+y\\3(3+y)+y=1\\9+4y=1\\4y=-8\\y=-2\\x=3-2\\x=1[/tex]

This system has two solutions! x = 1, y = -2

[tex]\left \{ {{y=5x-4} \atop {y=5x+13}} \right.[/tex]

This system of equations has no solutions because no x value exists that satisfies both equations.

[tex]\left \{ {{4g+r=12} \atop {8g=-2r+24}} \right. \\r=12-4g\\8g=-2(12-4g)+24\\8g=-24+8g+24\\8g=8g\\1=1\\[/tex]

This system of equations has infinite solutions. No matter what values you plug in for g and r, the solution is the same!

[tex]\left \{ {{3y+15x=-1} \atop {y=4-5x}} \right. \\3(4-5x)+15x=-1\\12-15x+15x=-1\\12=-1[/tex]

This system of equations has no solutions because no values exist that can satisfy both equations.

Answer:

its 4

Step-by-step explanation:

Answer:

A. 10

Step-by-step explanation:

The correct way to solve the equation is:

N - 7/7 = 8

N = 8 + 7/7

N = 8 + 1

N = 9 + 1

N = 10

So the value of N is 10.

If the function is continuous function and ∫0 to 8 f(u) du = 6, the value of ∫ 1 to 3 xf(x² - 1) dx is B) 3.

Given ∫0 to 8 f(u) du = 6 and we need to find the value of ∫ 1 to 3 xf(x² - 1) dx

We can say, u = x² - 1

Differentiating both sides

du = 2x dx

dx = du/2x

When x = 1,

         u = 1² - 1 = 0

and when x = 3

         u = 3² - 1 = 8

So, ∫ 1 to 3 xf(x² - 1) dx can be written as

           ∫ 1 to 3 xf(x² - 1) dx = ∫ 0 to 8 xf(u)  du/2x

                                          = 1/2∫ 0 to 8 f(u) du

It is given that ∫0 to 8 f(u) du = 6

So, ∫ 1 to 3 xf(x² - 1) dx = 1/2 x 6 = 3

Hence, the value of ∫ 1 to 3 xf(x² - 1) dx is 3.

The question is incomplete. The complete question is

" The function f is continuous and ∫0 to 8 f(u) du=6. What is the value ∫ 1 to 3 xf(x² - 1) dx? (A) 3/2 (B) 3 (C) 6 (D) 12 (E) 24 "

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Answer: x = 72

Step 1: Add 17 to both sides.

Step 2: Multiply both sides by 8/3.

In accordance with the above, the scale that relates these two figures is 1:4, that is to say that each unit of the large figure is reduced four times.

To find the scale that relates these two figures we must know the measures of one of its sides. In this case we have the measure of the side of the rectangle, which in the large rectangle is equal to 6 and in the small rectangle is equal to 1.5

Based on the above information, we must divide the larger number into the smaller number and the result of this operation will be the scale of the model.

So, the scale would be 1:4 because the distances of the small model represent a quarter of the original distance of the figure.

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a) The relationship among the lengths of the segments formed by the two secants as; (CG+GE)CG = (CH+HD)CH  

b) It possible to find the length of DH based on the Secant-secant theorem

It states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

i.e., (CG+GE)CG = (CH+HD)CH   ---(1)

Now we have been given

CG = 3 in

CH = 2 in

GE = 5 in

Substitute these values in equation (1)

(3 + 5) 3 = (2 + DH) 2

24 = 4+ 2DH

DH = 10 in

Therefore, yes it is possible to find DH .

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In the transformation ABC A'B'C', the preimage of B' is B.

It's a triangle, ABC. ABC is changed so that the resulting image is A'B'C'. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.

Corresponding vertices will be matched in all transformations. In other words, A will change to A', B to B', and C to C'.Preimage of B' would just be B itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.

In conclusion, it is B.

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In the transformation ABC A'B'C', the preimage of B' is ____

To make an equation with fractions simpler we will be required to take up and LCM and cross-multiplication.

When an equation has fractions, there can be a case where each side, the LHS and the RHS, have multiple fractions with different denominators or even whole numbers.

In this case, first, you have to make sure to take an LCM for fractions on each side and make sure each side has only one denominator and all the constants and variables are a part of that fraction.

Then you have to take the denominator from each side and then multiply it with the numerator of the other. For example-

If an equation looks like [2x - 3]/5 = [4x + 8]/7

Here LHS has 5 as the denominator while RHS has 7

Hence, we will take 5 over to the RHS and 7 to LHS to get

7 X [2x - 3] = 5 X [4x + 8]

Now we have gotten our simpler form.

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A two-dimensional surface with all the points of equal value is shown in a contour map for the function f (x, y). It is used to illustrate how the function changes in relation to the two variables.

1. On the two-dimensional coordinate plane, create a grid.

2. Give each of the x and y coordinates a value.

3. Determine the value of f (x, y) for every pair of x and y.

4. Plot the grid points based on the values of f. (x, y).

5. To create the contour map, connect the points with equal values along a curved line.

In a two-dimensional plane, a contour map is a graphical representation of a function that displays all the points with identical values. It is used to illustrate how the function changes in relation to the two variables. Draw a grid on the two-dimensional coordinate plane and give values to the x- and y-coordinates before drawing a contour map for a function f (x, y). Once this is done, determine the value of f (x, y) for each pair of x and y, and plot the points on the grid using those values (x, y). To complete the contour map, draw a curved line connecting the points of equal value. The contour map will display the function's regional extrema as well as any locations where it is rising or decreasing locally. Additionally, it can be used to pinpoint regions of the plane where the function's value is constant. For seeing and comprehending the behaviour of functions of two variables, contour maps are a useful tool.

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For given expression x will be equal to 1.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is m/2=18x-1

where m=33x+1

By putting value of m

33x+1=(18x-1)*2

33x+1=36x-2

3x=3

x=1

Hence,

          For given expression x will be equal to 1.

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The surface area of the pyramid is 1377 square units

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

To find the surface area of a pyramid, we use the formula SA=B+12ps, where B is the area of the base, p is the perimeter of the base, and s is the slant height

height = 9

length = 3

width = 3

therefore s = √9²+3²

s = √81+9

s = √90

s = 9.5 units

Base area = l×w = 3 × 3 = 9 units

perimeter of the base = 2( 3+3) = 2×6 = 12

Surface Area = 9 + 12× 12× 9.5

SA = 9 + 1368

SA = 1377 square units

Therefore the surface area of the pyramid is 1377 square units

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Solving a linear equation, we can see that her travel was 38.5 miles long.

We know that Uber charges $10.75 as a fixed fee plus $0.50 per mile, then the cost for x miles is modeled by the linear function:

y = 10.75 + 0.5*x

We know that Ashley paid 30 dollars for her ride, then we need to solve the equation:

30 = 10.75 + 0.5x

30 - 10.75 = 0.5x

19.25 = 0.5x

19.25/0.5 = x = 38.5

So her travel was 38.5 miles.

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