For his art project, Dorian is using square tiles of different sizes and colors to make a mosaic. The first three tiles are: 1. A = 5 cm2 2. A = 7 cm2 3. A = 9 cm2


which tile's side lengths will Dorian need to estimate?

Answer:

Because of low subscribers the amount will be decreased if you do not make video . So in 2007 the subscribers will be incresed . 67.8 million people took risk of this think. hopw it helps.

Step-by-step explanation:

The mutually exclusive events are described in experiment II and III only.

In the given experiments, mutually exclusive events are described only in experiment II and III.

Mutually exclusive events are the events that cannot happen at the same time. In other words, if event A occurs, then event B cannot occur and vice versa.

The event X in experiment II is selecting an odd number. And event Y is selecting a number that is prime.

So, if we consider an odd number like 3, then it cannot be a prime number. Also, a prime number like 5 cannot be an odd number.

Thus, event X and event Y are mutually exclusive.

The event X in experiment III is choosing a red marble. And event Y is choosing a green marble.

So, if we select one marble, it cannot be both red and green. Thus, event X and event Y are mutually exclusive.

Therefore, the mutually exclusive events are described in experiment II and III only.

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The data can be thought of as a random sample from the population of interest. So the option a is correct.

In the given question we have to find the most important condition for sound conclusions from statistical inference is usually.

The given statements are:

(a) the data can be thought of as a random sample from the population of interest.

(b) the population distribution is exactly Normal.

(c) the data contain no outliers.

The results of the hypothesis testing will still be accurate even if the population distribution is not perfectly normal, according to the Central Limit Theorem.

Statistical techniques can be used to identify and prevent outliers if the data contains them.

However, the results of the hypothesis testing will not be reliable for non-random samples.

The data can be thought of as a random sample from the population of interest. So the option a is correct.

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The right question is:

The most important condition for sound conclusions from statistical inference is usually that

(a) the data can be thought of as a random sample from the population of interest.

(b) the population distribution is exactly Normal.

(c) the data contain no outliers.

Answer:

multiply -4 by each element in the matrix

Step-by-step explanation:

-32

4

20

-36

Answer: 2/23

Step-by-step explanation: Absolute value is a term which is used to indicate the distance of a point or number from the origin of a number line or coordinate system.

Suppose x is a real number. Then the absolute value of x is defined as follows:

For x = 0 or x > 0, | x | = x

For x < 0, | x | = - x

Now, we have to find the absolute value of the given number  that means we have to find the distance of   from the origin of a number line.

Distance of  from the origin is  . As distance can never be negative.

Therefore, the absolute value of  is 2/23 .

The exercise involves finding the product C = AB, where matrix A is given by [2 9] and matrix B is given by [3 6 1]. We need to perform the matrix multiplication to obtain the resulting matrix C.

Let's calculate the matrix product C = AB step by step:

Matrix A has dimensions 2x1, and matrix B has dimensions 1x3. To perform the multiplication, the number of columns in A must match the number of rows in B.

In this case, both matrices satisfy this condition, so the product C = AB is defined.

Calculating AB:

AB = [23 + 912 26 + 94 21 + 95]

[103 + 612 106 + 64 101 + 65]

Simplifying the calculations:

AB = [6 + 108 12 + 36 2 + 45]

[30 + 72 60 + 24 10 + 30]

AB = [114 48 47]

[102 84 40]

Therefore, the product C = AB is:

C = [114 48 47]

[102 84 40]

In summary, the matrix product C = AB, where A = [2 9] and B = [3 6 1], is given by:

C = [114 48 47]

[102 84 40]

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Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.

Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.

First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.

Next, we can find the vertex using the formula:

Vertex = (-b/2a, f(-b/2a))

where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:

Vertex = (-b/2a, f(-b/2a))

= (-6/(2*-1), f(6/(2*-1)))

= (3, -14)

So the vertex of the parabola is at the point (3,-14).

Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.

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Answer:

The solution is (\(\frac{7}{12}\) , \(\frac{67}{6}\))

Step-by-step explanation:

∵ y = 14x + 3 ⇒ (1)

∵ y = 2x + 10 ⇒ (2)

→ Equate equations (1) and (2) to find x

∵ 14x + 3 = 2x + 10

→ Subtract 2x from both sides

∴ 14x - 2x + 3 = 2x - 2x + 10

∴ 12x + 3 = 10

→ Subtract 3 from both sides

∴ 12x + 3 - 3 = 10 - 3

∴ 12x = 7

→ Divide both sides by 12 to find x

∵ \(\frac{12x}{12}\) \(\frac{7}{12}\)

∴ x = \(\frac{7}{12}\)

→ Substitute the value of x in equation (1) or (2) to find y

∵ y = 2(\(\frac{7}{12}\)) + 10

∴ y = \(\frac{7}{6}\) + 10

∴ y = \(\frac{67}{6}\)

∴ The solution is (\(\frac{7}{12}\) , \(\frac{67}{6}\))

Answer:

311 Remainder 6

Step-by-step explanation:

The example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

Statistical significance is a measure of whether your research findings are meaningful. It is concerned with whether a research result is due to chance or sampling variability. Where, practical significance is concerened with wheteher the result is useful in the real world.

Therefore, the example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

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Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

a) To calculate the margin of error for the first high school student, we can use the formula:

Margin of error = z* (standard error)

where z* is the critical value of the standard normal distribution corresponding to the desired level of confidence, and the standard error is given by:

standard error = sqrt[(p-hat * (1-p-hat))/n]

where p-hat is the sample proportion, and n is the sample size.

Given that the sample size is n=178, and the sample proportion is p-hat = 0.69, the standard error is:

standard error = sqrt[(0.69*0.31)/178] = 0.042

To find the critical value z* for a 95% confidence interval, we can look up the value in the standard normal table. Since we want a two-tailed confidence interval, we need to divide the level of significance (1 - 0.95 = 0.05) by 2, resulting in an alpha level of 0.025. Looking up the corresponding z-score, we find:

z* = 1.96

Therefore, the margin of error for the first high school student is:

Margin of error = 1.96 * 0.042 = 0.0828 ≈ 0.083 (to 3 decimal places)

b) To calculate the margin of error for the second high school student, we can follow the same procedure as above, using the sample size n=178 and the sample proportion p-hat = 0.83. The standard error is:

standard error = sqrt[(0.83*0.17)/178] = 0.038

The critical value z* for a 95% confidence interval is still 1.96, so the margin of error is:

Margin of error = 1.96 * 0.038 = 0.0745 ≈ 0.075 (to 3 decimal places)

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Using the arc tangent concept, the principal value that has an arc tangent of 2.6 is given by:

B. 69º.

The arc tangent of an angle can be understated according to the following idea:

\(\arctan{x} = \theta\)

Means that \(\theta\) is the angle that has a tangent value of x.

The principal value for an inverse trigonometric function will always be the smallest positive angle with the measure.

In this problem, we want to find arctan(2.6), that is, the angle with a tangent measure of 2.6, which using a calculator is of 69º.

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Answer:

AA similarity

Step-by-step explanation:

Respective angles of both triangles are 40°, 50° and 90°

AA similarity is the case:

Answer:

8.4

Step-by-step explanation:

Given shapes are similar and so their side length measures are proportional

2/2.8 = 6/x cross multiply expressions

2x = 16.8 divide both sides by 2

x = 8.4

The area of the rectangular parking lot is 929.03 square meters.

Use the formula for the area of a rectangle to calculate the area of the rectangular parking lot, which is given as:

Area = length × width

We know that the parking lot is 67.5 ft wide and 148 ft long, the area can be calculated as follows:

Area = 67.5 ft × 148 f

t= 9990 sq. ft

However, the question asks for the area in square meters, so we need to convert square feet to square meters. 1 square foot is equal to 0.092903 square meters, so we can use this conversion factor to convert square feet to square meters.

Area in square meters = Area in square feet × 0.092903

= 9990 sq. ft × 0.092903

= 929.03 sq meters

Therefore, the area is 929.03 square meters.

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Answer:

5.5 kg

Step-by-step explanation:

One kilogram is roughly equivalent to 2.2 pounds.  So,

\(12\ lb(\frac{1\ kg}{2.2\ lb})=5.5\ kg\)

Answer:

Antonio is the right one

Answer:

∠ A = 123°

Step-by-step explanation:

The central angle A is equal to the arc that subtends it , so

∠ A = arc DE = 5x - 2

The angles subtended by the radii and tangents of a circle are supplementary

2x + 7 + 5x - 2 = 180 ← Antonio is correct

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°

To derive the least-squares fit for the model y = a1x + a2x^2 with a zero intercept, we need to minimize the sum of squared residuals. Let's denote the observed data points as (xi, yi) for i = 1 to n.

The objective is to find the values of a1 and a2 that minimize the following sum of squared residuals:

SSR = ∑(yi - (a1xi + a2xi^2))^2

To find the minimum, we differentiate SSR with respect to a1 and a2 separately and set the derivatives equal to zero.

Partial derivative with respect to a1:

∂SSR/∂a1 = -2∑(yi - (a1xi + a2xi^2))*xi = 0

Partial derivative with respect to a2:

∂SSR/∂a2 = -2∑(yi - (a1xi + a2xi^2))*xi^2 = 0

Expanding the above equations:

∑(yixi) - a1∑(xi^2) - a2∑(xi^3) = 0 ------ (1)

∑(yixi^2) - a1∑(xi^3) - a2∑(xi^4) = 0 ------ (2)

Now, let's solve these equations to find the values of a1 and a2.

From equation (1):

a1∑(xi^2) + a2∑(xi^3) = ∑(yi*xi) ------ (3)

From equation (2):

a1∑(xi^3) + a2∑(xi^4) = ∑(yi*xi^2) ------ (4)

We can express equations (3) and (4) in matrix form as:

| ∑(xi^2) ∑(xi^3) | | a1 | = | ∑(yixi) |

| ∑(xi^3) ∑(xi^4) | | a2 | = | ∑(yixi^2) |

Solving this system of linear equations will give us the values of a1 and a2.

Once a1 and a2 are determined, we have the least-squares fit of the model y = a1x + a2x^2 with a zero intercept.

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Your answer: A  −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]  This example demonstrates the distributive property of multiplication over addition for rational numbers, which states that for any rational numbers a, b, and c: a × (b + c) = (a × b) + (a × c).

The correct answer is A: −14 × {23 + (−47)} = [−14 × 23] + [−14 × (−47)]. This is an example of the distributive property of multiplication over addition for rational numbers because we are multiplying −14 by the sum of 23 and −47, and we can distribute the multiplication to each term inside the parentheses by multiplying −14 by 23 and −14 by −47 separately, and then add the two results together. This is the basic definition of the distributive property of multiplication over addition. Option B shows the distributive property of multiplication over subtraction, option C shows the product of multiplication and addition, and option D is not a valid equation.

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combine all like terms!

that would be 3n-n and 7-3, which would leave you with 2n and 4

simplified, it would be 2n+4 :)

Given:

The graph of a polynomial.

To find:

The number of roots of the polynomial lie between x = -4 and x = 3.

Solution:

From the given graph it is clear that the graph is a downward U-shaped curve. It means the given graph represents a quadratic polynomial.

The graph of the polynomial is below the x-axis immediate before x=-2 and above the x-axis immediate after x=-2. It means the graph intersect the x-axis at x=-2.

The graph of the polynomial is above the x-axis immediate before x=2 and below the x-axis immediate after x=2. It means the graph intersect the x-axis at x=2.

Since the graph of the polynomial divides the x-axis two times between x = -4 and x = 3, therefore the two roots of the polynomial lie between x = -4 and x = 3.

Answer:2.9

3

Step-by-step explanation:

For the linear equation y = 2x 4, if x increases by 1 pointThe value of y will increase by 2 points(A).

The equation y = 2x + 4 represents a linear relationship, where the coefficient of x, which is 2, represents the slope of the line. The slope indicates how much y changes when x increases by 1. In this case, the slope is 2, meaning that for every increase of 1 in x, y will increase by 2.

Therefore, For the linear equation y = 2x 4, if x increases by 1 point,the value of y will increase by 2 points(A). This means that correct option is A.

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Regenerate response

Answer:

Step-by-step explanation:

Fins the similar diagram attached;

The sum of the angles is 180 degree since they lie on the same straight line. Hence;

3x - 13 + x - 3 = 180

Collect the like terms;

3x+x -13 - 3 = 180

4x - 16 = 180

4x = 180 + 16

4x = 196

x = 196/4

x = 49

Hence the value of x is 49

Note that the values in question is different from that of diagram but the diagram is similar to what we need

Answer:Solve for x 2x-4=10 2x − 4 = 10 2 x - 4 = 10 Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 14 2 x = 14 Divide each term in

Step-by-step explanation:

(a)  (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b)  (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

To convert numbers from different bases to decimal using the direct method, we multiply each digit of the number by the corresponding power of the base and sum the results. To convert to hexadecimal using the intermediary binary conversion method, we first convert the number to binary and then group the binary digits into groups of 4, starting from the rightmost digit, and convert each group to its hexadecimal equivalent.

(a) Converting (1203)4 to decimal:

(1203)4 = 1 * 4³ + 2 * 4² + 0 * 4¹ + 3 * 4⁰

= 64 + 32 + 0 + 3

= 99

Converting (1203)4 to hexadecimal:

First, convert (1203)4 to binary:

(1203)4 = (10010)2

Next, group the binary digits into groups of 4:

(10010)2 = (0001 0010)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0010)2 = (12)16

Therefore, (1203)4 is equal to 99 in decimal and 12 in hexadecimal.

(b) Converting (5243)8 to decimal:

(5243)8 = 5 * 8³ + 2 * 8² + 4 * 8¹ + 3 * 8⁰

= 2048 + 128 + 32 + 3

= 2211

Converting (5243)8 to hexadecimal:

First, convert (5243)8 to binary:

(5243)8 = (101 010 100 011)2

Next, group the binary digits into groups of 4:

(101 010 100 011)2 = (0001 0101 0010 0011)2

Finally, convert each group to its hexadecimal equivalent:

(0001 0101 0010 0011)2 = (1523)16

Therefore, (5243)8 is equal to 2211 in decimal and 1523 in hexadecimal.

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The rate of downloads per minute is constant because based on the given information, the number of songs is always twice the number of minutes.

Therefore, the constant of proportionality is 2.

Answer:

$19,110

Step-by-step explanation:

18,200 x 1.05 = 19,110

Answer:

12x-3

Step-by-step explanation:

Perimeter is : 3*(4x-1)