A scatter plot and trend line are shown. Which statement best explains whether the trend
line is a good fit for the data shown in the scatter plot?

The trend line is a good fit because the total
vertical distance between the line and the
points in the plot is small.
The trend line is not a good fit because the
number of points above and below the trend
line are not equal.
The trend line is a good fit because the line
passes through at least one point in the plot.
The trend line is not a good fit because there
is an outlier in the plot that does not follow the
patterns in the data.

The difference between the two probabilities is about 4.06 percentage points, so the answer is (c).

To compare the theoretical probability and the experimental probability of drawing a blue tile, we need to calculate both probabilities.

First, let's calculate the theoretical probability. There are a total of 36 tiles in the bag, and 10 of them are blue, so the theoretical probability of drawing a blue tile is 10/36, or about 27.78%.

Now let's calculate the experimental probability. In the five trials, you drew a total of 236 tiles, and a total of 75 blue tiles. So the experimental probability of drawing a blue tile is 75/236, or about 31.86%.

Comparing the theoretical probability and the experimental probability, we can see that the experimental probability is greater than the theoretical probability. The difference between the two probabilities is about 4.06 percentage points, so the answer is (c).

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The table that shows the correct missing values would be option A = Brain (part) 0.4 1.1 1.6 4

Body (part) 4.4 12.1 17.6 44

Total (whole) 4.8 13.2 19.2 48

Addition is the combination of two or more values which leads to the arrival of a common value.

To calculate for A;

Brain = 0.4

body part = A

Total = 4.8

A = 4.8 -0.4 = 4.4

To calculate for B;

Brain = B

Body part = 12.1

Total = 13.2

B = 13.2 - 12.1 = 1.1

To calculate for C;

Brain = 1.6

Body part = 17.6

Total (C ) = 19.2

To calculate E;

Brain= E

Body= 44

Total = 48

E = 48-44 = 4

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The value of the sales tax will be 1.21. Sales tax is a fee that is charged in addition to the cost of products and services. We have to use basic percentage mathematics concepts.

Let's first try to understand what is sales tax.

The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government. A company is liable for sales taxes in a particular jurisdiction if it has a nexus there, which, depending on the local rules, can be a physical location, an employee, an affiliate, or some other presence.

Sales taxes typically take a portion of the cost of the items sold. For instance, a city's residents might pay a total of 7.5% in sales taxes if the state levies a 4% rate, the county 2%, and the city 1.5%. However, frequently certain things—like food—are exempt or are exempt if they fall below a specific amount, such as apparel purchases under $200. Additionally, many products are subject to additional taxes known as excise taxes. A type of excise tax known as a "sin tax" is the $1.50 municipal excise tax that New York City imposes per pack of 20 cigarettes in addition to the $4.35 state excise tax.

In this Question, The bill before tax and tip was $17.35.

Sales tax of 7% added.

7% of  $17.35 = 7 * 17.35/100 = 1.2145

The nearest cent value will be 1.21.

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The sales tax was $1.22 and the total amount of the bill including the tip was $18.57.

The total cost of the meal before tax and tip was $17.35. The sales tax rate for the area was 7%. To calculate the sales tax, we must first determine the pre-tax cost of the meal multiplied by the tax rate.

Formula:

Sales Tax = Pre-tax cost × Tax Rate

Calculation:

Sales Tax = $17.35 × 0.07

Sales Tax = $1.22

This means that the sales tax amount was $1.22. Vani tipped 18% on the amount after the sales tax was added. To calculate the total amount of the bill after tip, we must first add the sales tax to the pre-tax cost of the meal.

Formula:

Total Cost = Pre-tax cost + Sales Tax

Calculation:

Total Cost = $17.35 + $1.22

Total Cost = $18.57

We can then calculate the tip amount by multiplying the total cost of the meal by the tip rate.

Formula:

Tip = Total Cost × Tip Rate

Calculation:

Tip = $18.57 × 0.18

Tip = $3.35

Therefore, the sales tax was $1.22 and the total amount of the bill including the tip was $18.57.

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Yes, the set of all solutions of a system of m homogeneous equations in n unknowns is a subspace of [tex]$\mathbb{R}^n$.[/tex]

A subspace is a set of vectors that is closed under linear combinations. This means that if two vectors in the set are added together, the result is also in the set. A system of m homogeneous equations in n unknowns can be represented as a system of linear equations. The solution set of the system is the set of all vectors that satisfy the linear equations. Since the solution set is closed under addition, it is a subspace of [tex]$\mathbb{R}^n$[/tex]Furthermore, any linear combination of two solutions of the system is also a solution of the system, which further confirms that the solution set is a subspace of [tex]$\mathbb{R}^n$[/tex]

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The linear equation from the equation given in the picture, would be  y = - 0. 2x + 2

A linear equation is used to determine the direction and values of a line in a chart or graph. It takes the form shown below of :

y = mx + b

y is the dependent variable

m is the slope of the line

x is the independent variable

b is the y - intercept

When given the formula, x + 5y = 10, the linear equation can be found in the steps of :

x + 5y = 10

5y = 10 - x

Divide all sides by 5 to get rid of the 5 next to y:
5y / 5 = 10 / 5 - x / 5

y = 2 - 1 / 5 x

y = - 0. 2x + 2

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Answer:

Step-by-step explanation:

15 an hour

By using the substitution approach and resolving the variable x, the equations Y=4x - 11 and Y= -3x + 10 are each solved as x,y = 2,3.

Using the equal symbol (=) to indicate equivalence, a mathematical equation is a formula that joins two statements. An equation in algebra is a statement of mathematics proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for example, the equal sign places the variables 3x + 5 and 14 apart. The relationship between two sentences on either side of a letter is described by a mathematical formula. A single variable, which also serves as the symbol, is frequently present. like in 2x - 4 = 2, for instance.

given

Solve equation [2] for the variable  y

 y = 6x - 9

variable  y  ...... equation [1]

  4x + (6x-9) = 11

  10x = 20

Solve equation [1] for the variable  x

10x = 20

  x = 2

   y = 6x-9

y = 6(2)-9 = 3

By using the substitution approach and resolving the variable x, the equations Y=4x - 11 and Y= -3x + 10 are each solved as x,y = 2,3.

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[tex]\it \begin{cases}\it y=4x-11\\ \\ \it y=-3x+10\end{cases}\ \Rightarrow 4x-11=-3x+10 \Rightarrow 4x+3x=10+11 \Rightarrow 7x=21\Rightarrow \\ \\ \\ \Rightarrow x=3;\ \ \ y=4\cdot3-11=12-11=1\\ \\ S=\{(2,\ \ 1)\}[/tex]

Answer:

Step-by-step explanation:

200-56=144 minutes

Answer:247.74

Step-by-step explanation:

use a calculator

Answer:

After investing for 3 years at 7% interest, your $600 investment will have grown to $735.03

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

You can find angles with the Side-Side-Side (SSS) theorem. The SSS theorem states that if three sides of one triangle are equal to the three sides of another triangle, then the two triangles are congruent and their corresponding angles are also equal. Hope this helps!

All subjects or objects whose characteristics are being studied.

In statistics, a population consists of all subjects or objects whose characteristics are being studied. This means that a population can be defined as a group of individuals, objects, or events that have something in common.

For example, if you are conducting a survey on the opinions of people in a city, the population would be all the people living in the city. If you are studying the behavior of cats, then your population would be all cats. In short, the population is the group of individuals or objects that you are interested in studying.

In addition, the population can be further broken down into subgroups, such as males and females, different age groups, geographical regions, and so on. This is known as stratifying the population and can help researchers to better understand the characteristics of their population and make more accurate conclusions.

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Answer:

a)6.4x 10^-4 (b)1.40068493150 x10^3

Step-by-step explanation:

multiply 0.0064 by 10000 and as it is going from a smaller number to a bigger number it is 10 to the negative power of 4

b)place into a calculator and devide the number untill u get a number between 1 and 9

The circumference of the circle is 50. 24 Inches

It is important to note that the circumference of a circle is represented with the formula;

C = 2πr or πd

Given that;

Also, the formula for calculating the radius of the circle given the diameter is expressed as;

Radius = diameter /2

Now, let's substitute the values into the formula, we get;

Circumference, C = 2 × 3. 14 × 8

Multiply the values

Circumference, C = 50. 24 Inches

Hence, the value is 50. 24 Inches

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The value of x and y in the equations is 1

Simultaneous equations are two or more algebraic equations that share variables e.g. x and y . They are called simultaneous equations because the equations are solved at the same time. For example, below are some simultaneous equations: 2x + 4y = 14 4x − 4y = 4.

Simultaneous equation can be solved by elimination and substitution method, but we are going to use elimination method here.

3x - 2y = 1 equation 1

9x - 6y = 3 equation 2

making the coefficient of x to be thesame in both equations

27x - 18y = 9 equation 3

27x - 18y = 9 equation 4

equation 3 and 4 are equal, this means that the value of x and y are equal.

Therefore for the equation to be true, x = 1 , y= 1

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The area of the path as a function is A(x) = (4x²+80x) square meters.

A polynomial function with one or more variables, where the largest exponent of the variable is two, is referred to as a quadratic function. In other terms, a "polynomial function of degree 2" is a quadratic function.

Given:

A pool measuring 28 meters by 12 meters is surrounded by a path of uniform width, as shown in the figure.

To express the area of the path, A, in square meters, as a function of its width, x, in meters:

The area of the path

A(x) = (12+2x)(28+2x) - (28 × 12)

A(x) = 4x²+56x+24x+336 - 336

A(x) = (4x²+80x) square meters.

This is a quadratic function.

Therefore, (4x²+80x) square meters are the area of the path.

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Answer: im assuming it is true

Step-by-step explanation:

Answer:

  1064

Step-by-step explanation:

You want the product g(3)·g(4), given that g(x) = x³ -8.

For each function value, put the number where the variable is and do the arithmetic.

  g(3)·g(4) = (3³ -8)(4³ -8) = (27 -8)(64 -8) = 19·56

  g(3)·g(4) = 1064

The amount of Indian rupees that I would be able to receive when $13 is exchanged would be = 601.2 Indian rupees.

Local currency exchange is defined as the exchange of a money currency from its local form to another form which depends of its current exchange rate.

From the expression given;

62.4d -210

Where d = $13

= (62.4× 13 )-210

= 811.2- 210

= 601.2

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The rational expressions include the following two (x²+6)/x²-4,  6/x²-7

You should understand that a rational expression is nothing more than a fraction in which the numerator and/or the denominator are polynomials.

Rational fractions can be reduced to their lowest terms

Examples rations expressions include

(7n-9)(p+5)

Radical expression which is used to indicate a root is called a radical and is therefore read "x radical n," or "the nth root of x." In the radical symbol, the horizontal line is called the vinculum, the quantity under the vinculum is called the radicand, and the quantity n written to the left is called the index.

Example 1) (6p+9)/5p = √(6p+9)/√(5p)  (2) (7n-9)(p+5) = √(7n-9)(p+5)

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The value of the expression is 20.

Shyann made a mistake by saying that the first step is 6 × 2. The first step should be obtaining the value for the expression in the bracket.

For an expression as the above, we can arrive at the answer by using the rule of BODMAS. In this rule, the expression in the bracket is first solved. Thus, we can obtain the answer this way:

5 × (2 + 6) 2 ÷ 4

5 × (8) 2 ÷ 4

This is followed by the division of 2 by 4 which gives 0.5

5 × (8) 0.5

Next, we multiply the figures

40 × 0.5

= 20

So, the correct value for the expression is 20.

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Integrating this expression, we obtain: −20√4 cosθe−r2 + C, where C is the constant of integration. Therefore, the integral evaluates to this expression.

Using polar coordinates, we have:

20√4 − r cosθ20e−r2 − r sin2θ dr dθ

This simplifies to:

20√4 − r cosθ20e−r2 dr dθ

Now we can integrate:

∫20√4 − r cosθ20e−r2 dr dθ = −20√4 cosθe−r2 + C

Where C is the constant of integration.

This iterated integral can be evaluated by converting to polar coordinates. We first rewrite the integral as: 20√4 − r cosθ20e−r2 dr dθ. Integrating this expression, we obtain: −20√4 cosθe−r2 + C, where C is the constant of integration. Therefore, the integral evaluates to this expression.

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2W² + 2W = 264  is the equation that an be used to find the width, W, of the porch. The value w = 11 gives the width of the porch, in feet.

The tools that aid in indicating an object's measurements are length, width, and height. We can calculate the volume of geometric shapes using their length, width, and height.

The length of an object or a figure on a planar surface is its longest measurement. The length of the specified object or figure is indicated.

The width of an object or figure on a planar surface is its smallest dimension. It provides the object or figure's width information.

Height is the measurement of an object's vertical distance from a figure or a planar surface.

Given that a rectangular porch has an area of  264 ft²

L × W = 264 ft²

And

W = L/2 - 1

or

L = 2(W + 1)

Substitute the value of L in area Equation

2(W + 1) × W = 264

2W² + 2W = 264

Putting the equation in quadratic formula we get

x = 11

x = -12

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Answer: P=52

Step-by-step explanation:

sorry if wrong

Answer:p=52

Step-by-step explanation:

Answer: Let x be the length of the original piece of fabric.

We know that:

x - y = length after first cut

(x - y) - 10 = length after second cut

((x - y) - 10) - 5 = length after third cut

Therefore, we can set up the equation:

x - y - 10 - 5 = 35

x - y = 50

To find the original length of the fabric, we can add y to both sides:

x = y + 50

The original length of the fabric is 50 inches + y inches.

We know that the total length cut was 35 inches.

So we can set up the equation:

y + 10 + 5 = 35

y = 20

So the original length of the fabric is 50 + 20 = 70 inches.

We can check the solution by using the equation:

x - y - 10 - 5 = 35

70 - 20 - 10 - 5 = 35

which is true.

Step-by-step explanation:

statistics is the calculation or manipulation of data or any other things where the operation of addition division multiplication substraction will be held but not any other logic related to non tangible

non statistical sampling is where calculation or any other means of addition substraction is not done but the judgement is done on the basis of examiners mind but not on the basis of any calculation .

we can use statistic in every day life also in every field because if we do any calculation then it is a part of mathematical statistic

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Subtract the given supplementary angle (its value in degrees) from 180.

In △ABC and △DEF

∠A=∠D=90∘

Since the tower and the stick cast their respective shadows at the same time on the ground,

So, ∠C=∠F

∴△ABC∼△DEF      ….(by AA similarity)

AB/DE=AC/DF so 12/x=8/40

X=60m

Calculating the magnitude of an angle necessitates knowledge of complementary, additional, and neighboring angles, as well as geometric form attributes. To compute the magnitude of the angle in question, subtract the specified supplementary angle (its value in degrees) from 180. An angle is measured in degrees from 0° to 180° in geometry. The angle’s size is indicated by the number of degrees.

The Pythagorean theorem Let xyz angle = A So, tan(A) = opposite/next => tan(A) = 15/6 As a result, A = tan-1(15/6) => 68.19863 As a result, angle xyz = 68 degrees. I hope this helps. You can also schedule a class for more clarification. Right angles are 90 degrees in length. Obtuse angles are more than 90 degrees.

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the lot is 90 feet by 110 feet. the fence is to be 6 feet tall. cost for the fence is $3.00 per linear foot, plus $.40 per square foot for labor then the total cost of the fence is 8643 dollar

We have to sum the three distances to get the perimeter.

P= 90 ft + 110 ft+ 6 ft

P = 201 ft

And each foot of material cost $3.00

we get the cost with the distance and de cost of the material:

Cost = 201 ft * 3.00 $ per ft = $603

he needs $603.00 to fence her backyard garden

40 per square labor

then 201*40 = 8040

total = 8040+603= 8643

thus  the total cost of the fence is 8643 dollar

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