when several groups of subjects are being compared with regard to some observed frequencies, the appropriate chi square analysis would be

Answer:

the espression are equivalent

Step-by-step explanation:

4x - 2x + 4 = 2 (x + 2)

2x + 4 = 2x + 4

the espression are equivalent

(a) Using a calculator with mean and standard deviation keys, we get:
x₁ = 257.19, S₁ = 12.0794, X2 = 660832.61, s₂ = 13.5992

(b) To find the 99% confidence interval for μ₁-μ₂, we can use the formula:

(x₁ - x₂) ± tα/2 * sqrt(S₁²/n₁ + S₂²/n₂)

where tα/2 is the critical value from the t-distribution with degrees of freedom equal to (n₁ - 1) + (n₂ - 1) = 38 and α/2 = 0.005 (since we want a 99% confidence interval). Using a t-table or calculator, we find tα/2 = 2.704.

Substituting the values, we get:

(257.19 - 204.26) ± 2.704 * sqrt(12.0794²/21 + 13.5992²/19)

= 52.93 ± 8.8529

So the 99% confidence interval for μ₁-μ₂ is (44.1, 61.76).

(c) The confidence interval means that we are 99% confident that the true population mean weight of pro football players is between 44.1 and 61.76 pounds more than the true population mean weight of pro basketball players. Since the interval contains only positive numbers, we can say that professional football players have a higher mean weight than professional basketball players at the 99% level of confidence.

(d) The Student's t-distribution was used because both ₁ and ₂ are unknown and the sample sizes are small (less than 30).
(a) After calculating the mean and standard deviation for both sets of data, we get the following results:

Football players (x₁):
Mean (x₁) = 258.4286
Standard Deviation (s₁) = 11.7043

Basketball players (x₂):
Mean (x₂) = 208.0526
Standard Deviation (s₂) = 12.7779

(b) To find a 99% confidence interval for μ₁ - μ₂, we can use the formula for the confidence interval of the difference between two means:

CI = (x₁ - x₂) ± t * √[(s₁²/n₁) + (s₂²/n₂)]

Using the t-distribution with the appropriate degrees of freedom (determined by the sample sizes, n₁ and n₂) and a 99% confidence level, we find the t-value, which is approximately 2.963.

CI = (258.4286 - 208.0526) ± 2.963 * √[(11.7043²/21) + (12.7779²/19)]
CI = 50.376 ± 2.963 * √[(162.0714/21) + (163.2774/19)]
CI = 50.376 ± 2.963 * 4.6571
CI = 50.376 ± 13.7903

The 99% confidence interval is:
Lower limit: 36.6
Upper limit: 64.1

(c) The confidence interval consists of only positive numbers. This means that, at the 99% level of confidence, professional football players have a higher population mean weight than professional basketball players.

(d) The Student's t-distribution was used because s₁ and s₂ are unknown.

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\(= (1.7*8.5)*(10^{4} *10^{-2} )\\=14.45*10^{4+(-2)} \\=14.45*10^{4-2} \\=14.45*10^{2} \\=1445\)

GOODLUCK!!!

The proportion of those surveyed who chose basketball as their favorite sport is 34.149 (option a)

Let's denote the proportion of adults who chose basketball as their favorite sport as P(Basketball). To calculate P(Basketball), we need to divide the total number of adults who chose basketball by the total number of surveyed adults. Mathematically, it can be represented as:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

To calculate the number of adults who chose basketball, we sum up the values from the age range categories:

Number of adults who chose basketball = Number of adults (18-30) who chose basketball + Number of adults (31-50) who chose basketball + Number of adults (51 and above) who chose basketball

Looking at the table, we find that the number of adults (18-30) who chose basketball is 15, the number of adults (31-50) who chose basketball is 8, and the number of adults (51 and above) who chose basketball is 11. Adding these values together, we get:

Number of adults who chose basketball = 15 + 8 + 11 = 34

Now, let's calculate the total number of surveyed adults. We can sum up the values from the age range categories:

Total number of surveyed adults = Total number of adults (18-30) + Total number of adults (31-50) + Total number of adults (51 and above)

From the table, we find that the total number of adults (18-30) is 49, the total number of adults (31-50) is 48, and the total number of adults (51 and above) is 52. Adding these values together, we get:

Total number of surveyed adults = 49 + 48 + 52 = 149

Now, we have the values we need to calculate the proportion:

P(Basketball) = (Number of adults who chose basketball) / (Total number of surveyed adults)

= 34 / 149

Hence the correct option is (a).

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If there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

each slice of the 12-inch thin-crust cheese pizza would have an equal distribution of sauce and toppings. This means that each slice would have the same amount of sauce and toppings spread evenly across its surface.

Since the pizza is cut equally into eight slices, each slice would represent 1/8th of the total pizza. Therefore, each slice would have an equal portion of the sauce and toppings.

It's important to note that the exact amount of sauce and toppings on each slice would depend on the original distribution applied to the pizza before it was sliced. If the pizza was prepared with a uniform distribution of sauce and toppings across the entire pizza, then each slice would indeed have an equal amount. However, if there were any variations in the distribution during the preparation process, the slices might have slight differences in the amount of sauce and toppings.

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Based on the calculations, the inequality represented by the given graph is y ≤ -3/2x - 2.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a Cartesian coordinate, which are the x-axis and y-axis.

Based on the graph given, we have an inequation of the form y ≤ f(x), and f(x) is a linear function with following points:

Points (x, y) = (0, -2) and (2, -5)

Next, we would determine the slope as follows:

Slope, m = (y₂ - y₁)/(x₂ - x₁)

Slope, m = (-5 - (-2))/(2 - 0)

Slope, m = -3/2.

Mathematically, the point-slope form of a straight line is given by:

y - y₁ = m(x - x₁)

Where:

Substituting the given parameters into the formula, we have;

y - (-2) = -3/2(x - 0)

y + 2 = -3/2x

y = -3/2x - 2

y ≤ -3/2x - 2.

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Answer:

7 is more than-2

Step-by-step explanation:

this is because when u add -3+10 u will get 7

and 7 is larger than -2

Answer:

x > 4 and x < 9

Step-by-step explanation:

1.) -3x + 10 < -2

-3x < -2-10

-3x < -12

x > 4

2.) -17 < -3x + 10

-17 - 10 < -3x

-27 < -3x

x < 9

Answer:

D

Step-by-step explanation:

I tried to put in the explanation but I was told that I put in a link or inappropriate words.  Neither is true, I do not know that I cannot put in the explanation.

Answer:

$3

Step-by-step explanation:

8 + 7 = 15

15 - 12 = 3

Answer:

a = 60°

60°, 60°, 120°, and 120°.

Step-by-step explanation:

Sum of interior angles of a quadrilateral = 360°

Therefore:

a° + a° + 2a° + 2a° = 360°

Add like terms

6a = 360

Divide both sides by 6

a = 60

2a = 2(60) = 120°.

Angle measure from least to greatest are 60°, 60°, 120°, and 120°.

Answer:

its d

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

They are asking you to plug in 2 for the g(x) equation

5(2)-4=6

Given:

Quadratic formula.

Option B is the final answer.

Answer: D

Step-by-step explanation:

formula=V=(π)r2h

(a)An function the deformation gradient F is F = 1 γ 0,0 2X2 0,0 0 1

(b The right Cauchy-Green deformation tensor C is C = 1+γ²γ 0,

γ 4X2²0,0 0 1 the left Cauchy-Green deformation tensor B is B = 1+γ² γ 0,γ γ²+4X2² 0,0 0 1.

(a) Deformation Gradient F:

The deformation gradient is defined as the derivative of the deformed coordinates x with respect to the initial coordinates X:

F = ∂x/∂X

Given the shear deformation x = φ(X) with x1 = X1 + γX2, x2 = X2X2, and x3 = X3, we can compute the deformation gradient as follows:

F =∂x1/∂X1 ∂x1/∂X2 ∂x1/∂X3

∂x2/∂X1 ∂x2/∂X2 ∂x2/∂X3

∂x3/∂X1 ∂x3/∂X2 ∂x3/∂X3

Taking the partial derivatives:

∂x1/∂X1 = 1, ∂x1/∂X2 = γ, ∂x1/∂X3 = 0

∂x2/∂X1 = 0, ∂x2/∂X2 = 2X2, ∂x2/∂X3 = 0

∂x3/∂X1 = 0, ∂x3/∂X2 = 0, ∂x3/∂X3 = 1

(b) Right and Left Cauchy-Green Deformation Tensors C and B:

The right Cauchy-Green deformation tensor C is defined as the square of the deformation gradient:

C = F²T × F

The left Cauchy-Green deformation tensor B is defined as the square of the transpose of the deformation gradient:

B = F × F²T

Calculating C:

C = F²T × F

C = 1 0 0

γ 2X2 0

0 0 1

1 γ 0

0 2X2 0

0 0 1

C =1+γ² γ 0

γ 4X2² 0

0 0 1

Calculating B:

B = F × F²T

B = 1 γ 0

0 2X2 0

0 0 1

1 0 0

γ 2X2 0

0 0 1

B = 1+γ² γ 0

γ γ²+4X2² 0

0 0 1

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Answer:

A. 2 cm long

Step-by-step explanation:

The there would be more squares cut out, the squares are smaller and its all even

Answer:

Step-by-step explanation:

A)  4+15=19 total 2cm squares

B) 4 + 3 = 7 total 3cm squares

C) 1 + 2 = 3 total 4cm squares

After  solving the equation 5(X - C)  = D , for the given matrices , we get , the unknown matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

In the question ,

it is given that , the matrices are

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) .

and the equation is given as 5(X - C)  = D ,

and we have to find the value of unknown matrix X .

let the matrix X be = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\)

Substituting , the given matrices A , B , C and D in the equation 5(X - C)  = D ,

we get ,

5(X - C)  = D ,

5X - 5C = D ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) - 5\(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\)

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) - \(\left[\begin{array}{ccc}15&15\\20&0\\0&40\end{array}\right]\)

Simplifying further ,

we get ,

5\(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}25&45\\50&30\\30&40\end{array}\right]\)

Dividing both sides by 5 ,

we get ,

X = \(\left[\begin{array}{ccc}a&b\\c&d\\e&f\end{array}\right]\) = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\)

Therefore , the matrix X is = \(\left[\begin{array}{ccc}5&9\\10&6\\6&8\end{array}\right]\) .

The given question is incomplete , the complete question is

Solve the matrix equation for the unknown matrix X.

A = \(\left[\begin{array}{ccc}7&3\\4&3\end{array}\right]\)   B = \(\left[\begin{array}{ccc}7&2\\7&2\end{array}\right]\)   C = \(\left[\begin{array}{ccc}3&3\\4&0\\0&8\end{array}\right]\)   and D = \(\left[\begin{array}{ccc}10&30\\30&30\\30&0\end{array}\right]\) . the equation is

5(X - C)  = D .

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Answer:

The answer will be 8

Step-by-step explanation:

SInce you notice there is movies with an 8 difference....

Answer:

4 horror movies

Step-by-step explanation:

This seems to be a problem related to ratios. We are given that, for every 24 kids' movies, there are 32 horror movies. We need to figure out how many horror movies there would be if there were just 3 kids' movies. We can set up an equation using proportions:

\(\frac{24}{32}=\frac{3}{x}\)

We don't know how many horror movies there would be so we can let this quantity equal x. Now, we can cross multiply and solve for our unknown:

\(24x = 3*32\\24x = 96\\x = 4\)

This means that there are 4 horror movies

The length of q is 7.5 that is nearest 10th of a centimeter.

Given that,

In ΔOPQ, p is 7. 2 cm, ∠P is 36° and ∠Q is 38°.

To find : To the closest 10th of a centimeter, the length of q

Three sides (a, b, c) and three angles (,, ) make up each triangle's six essential qualities. The standard trigonometry challenge is to identify three of these six features and then determine the remaining three. Of course, our triangle solver uses combinations of basic and derived characteristics, including area, perimeter, heights, medians, and so forth. Usually by side-angle-side (SSS), side-side-angle (SSA), or length of three sides (L3).

The length of q is therefore 7.5, or to the nearest tenth of a centimeter.

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The two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

The vertex of a parabola in standard form, f(x) = a(x - h)² + k, is at the point (h, k).

We can rewrite the given equation, f(x) = x² - 2x - 8, in standard form by completing the square:

f(x) = x² - 2x - 8

= (x² - 2x + 1) - 1 - 8

= (x - 1)² - 9

So the vertex of the parabola is at the point (1, -9), where h = 1 is the x-coordinate of the vertex, and k = -9 is the y-coordinate of the vertex.

To verify that points (2, -8) and (0, -8) are symmetric about the vertex, we can calculate the axis of symmetry, which is x = h, or x = 1 in this case.

The distance between the vertex (1, -9) and the point (2, -8) is the same as the distance between the vertex and the point (0, -8), since these points have the same y-coordinate:

d((1, -9), (2, -8)) = d((1, -9), (0, -8))

Using the distance formula, we can calculate the left-hand side:

d((1, -9), (2, -8)) = √((2 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Using the distance formula again, we can calculate the right-hand side:

d((1, -9), (0, -8)) = √((0 - 1)² + (-8 - (-9))²)

= √(1 + 1)

= √(2)

Hence, the two distances are equal, which means the points (2, -8) and (0, -8) are symmetric about the axis of symmetry x = 1, or the vertex (1, -9).

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The case fatality rate is 400 * 100 / 1500 = 26.67 (option d).

For the first scenario, the data determine that there is a difference in average expenditure between the two countries (option c). The P-value of 0.063 suggests that there is a moderate level of statistical significance, indicating that the difference in average expenditure is likely not due to random chance.

In the second scenario, the fact that the 95% confidence interval for the average number of times participants saw their provider per year (3.3) ranges from 0.1 to 6.1 is of statistical use because it provides a range estimate within which the true population means is likely to fall. This interval helps account for the uncertainty associated with the sample estimate and provides a measure of the precision of the estimate (option a).

For the third scenario, the average operating margin is appropriate to use because it is a measure of central tendency that represents the typical financial performance of rural hospitals. The standard deviation provides information about the variability of the operating margins (option d).

In the fourth scenario, the consideration factor that will ultimately contribute to the spread of Ebola is the population density of the affected area (option b). While factors like the influence of non-indigenous people and climatic conditions may play a role, population density is a key determinant in the transmission and spread of infectious diseases.

For the fifth scenario, the case fatality rate is calculated by dividing the number of deaths from the disease (400) by the total reported cases (1500) and multiplying by 100. Therefore, the correct calculation is 400 * 100 / 1500 = 26.67 (option d). This indicates that the case fatality rate is approximately 26.67%.

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The vertex and range are (-2, -3) and y >= -3 respectively

The equation is given as:

y = |x +2| - 3

The above equation is an absolute value equation

An absolute value equation is represented as:

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-2, -3)

Also, we have

a = 1

Since a is positive, then the vertex is a minimum

Hence, the vertex and range are (-2, -3) and y >= -3 respectively

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Every 10 nights, she knits 30cm of the scarf.

Take 30cm and divide it by 10 days and you will get 3cm per day

The function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1 and the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

To analyze the provided pseudo code for matrix multiplication and determine the function T(n) in terms of the number of operations, we need to examine the code and count the number of operations performed.

The pseudo code for matrix multiplication may look something like this:

```

MatrixMultiplication(A, B):

   n = size of matrix A

   C = empty matrix of size n x n

   for i = 1 to n do:

       for j = 1 to n do:

           sum = 0

           for k = 1 to n do:

               sum = sum + A[i][k] * B[k][j]

           C[i][j] = sum

   return C

```

Let's break down the number of operations step by step:

1. Assigning the size of matrix A to variable n: 1 operation

2. Initializing an empty matrix C of size n x n: n^2 operations (for creating n x n elements)

3. Outer loop: for i = 1 to n

- Incrementing i: n operations  

- Inner loop: for j = 1 to n

- Incrementing j: n^2 operations (since it is nested inside the outer loop)

- Initializing sum to 0: n^2 operations

- Innermost loop: for k = 1 to n

- Incrementing k: n^3 operations (since it is nested inside both the outer and inner loops)

- Performing the multiplication and addition: n^3 operations

- Assigning the result to C[i][j]: n^2 operations

- Assigning the value of sum to C[i][j]: n^2 operations

Total operations:

1 + n^2 + n + n^2 + n^3 + n^3 + n^2 + n^2 = 2n^3 + 3n^2 + 2n + 1

Therefore, the function T(n) in terms of the number of operations is:

T(n) = 2n^3 + 3n^2 + 2n + 1

To determine the asymptotic (big O) complexity of the algorithm, we focus on the dominant term as n approaches infinity.

In this case, the dominant term is 2n^3. Hence, the asymptotic complexity of the matrix multiplication algorithm is O(n^3).

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Answer:

D: 0 < y < 7

Step-by-step explanation:

The domain is the input (i.e. the x values)

The range is the output (i.e. the y values)

So for the range, look at the y-coordinates of the end points of the line: (-6, 0) and (9, 7)  ⇒  0 < y < 7

Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer:

1: Size

2: Congruent

3: Proportional

Step-by-step explanation:

Hope that helped

Answer:

poopoopeepee

Step-by-step explanation:

3

equilateral so 5-2x=-4x+9

x=2

5-2×2=1

the trainangle is equilateral and has three sides

1+1+1=3