Find the coordinates of the point P which divides the join of A( - 2,5 ) and B(3, - 5 ) in the ratio 2 : 3.

The appropriate inference procedure to use when testing whether the proportion of party affiliations for each city is the same is the Chi-Square Test for Independence.

The Chi-Square Test for Independence is appropriate in this case because it allows you to test the relationship between two categorical variables (in this case, city and political party affiliation) using a contingency table (like the one provided). The test helps determine whether there is a significant association between the variables or if the observed frequencies are due to chance.

To perform the Chi-Square Test for Independence, follow these steps:

1. Create a contingency table with the observed frequencies of each combination of city and political party affiliation.

2. Calculate the expected frequencies for each cell of the table, assuming there is no association between the variables.

3. Calculate the chi-square test statistic, which is the sum of the squared differences between the observed and expected frequencies, divided by the expected frequencies.

4. Determine the degrees of freedom, which is equal to (number of rows - 1) * (number of columns - 1).

5. Compare the calculated test statistic to the critical value from a chi-square distribution with the determined degrees of freedom and an appropriate significance level (typically 0.05).

6. If the test statistic is greater than the critical value, reject the null hypothesis that there is no association between the variables, and conclude that the proportion of party affiliations for each city is not the same.

In your case, you would apply this procedure using the given data for the three cities and their political party affiliations.

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Answer: 1. tax deductions 2. the amount of taxable income

Step-by-step explanation: Just got it right on plato

The algebraic solutions to the system of equations are given as follows:

\((3,4), \left(-\frac{7}{5}, -\frac{24}{5}\right)\)

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the equations are:

Replacing the second equation in the first:

x² + (2x - 2)² = 25

x² + 4x² - 8x + 4 = 25

5x² - 8x - 21 = 0.

Which is a quadratic equation with coefficients a = 5, b = -8, c = -21, then:

\(\Delta = (-8)^2 - 4(5)(-21) = 484\)

\(x_1 = \frac{-(-8) + \sqrt{484}}{2(5)} = 3\)

\(x_2 = \frac{-(-8) - \sqrt{484}}{2(5)} = -\frac{7}{5}\)

Then, the solutions for y are:

Thus, the solutions are:

\((3,4), \left(-\frac{7}{5}, -\frac{24}{5}\right)\)

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The probability values are calculated and listed below

They are both black

Here, we have

Black = 3

Yellow = 5

Sice the balls are not replaced, we have

P(Both black) = 3/8 * 2/7

P(Both black) = 3/28

They are both yellow

Sice the balls are not replaced, we have

P(Both Yellow) = 5/8 * 4/7

P(Both Yellow) = 5/14

The first is yellow and the second is black

Sice the balls are not replaced, we have

P(Yellow and black) = 5/8 * 2/7

P(Both Yellow) = 5/28

One is yellow the other is black

Sice the balls are not replaced, we have

P(One Yellow and One black) = 5/8 * 2/7 * 2

P(One Yellow and One black) = 5/14

They are of the same colour​

Here, we have

P(Same) = 3/28 + 5/14

P(Same) = 13/28

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Answer:

5/8 of an inch

Step-by-step explanation:

Answer:

5/8 inch I think. srry if I'm wrong

1 = 8/8 - 3/8 = 5/8

1. The Bayesian form of the simple linear regression model is: y = β0 + β1 * x + ε.

where y is the dependent variable, x is the independent variable, β0 is the intercept, β1 is the slope, and ε is the error term.

2. The joint likelihood depends on the likelihood function, the prior distributions, and the data.

The Bayesian form of the simple linear regression model and explain what the joint likelihood depends on for this model.
The Bayesian form of the simple linear regression model involves updating our beliefs about the parameters of the model (slope and intercept) based on the observed data.

The model can be represented as:
y = β0 + β1 * x + ε

Where y is the dependent variable, β0 is the intercept, β1 is the slope, x is the independent variable, and ε is the error term.
In the Bayesian approach, we assign prior distributions to the model parameters, β0 and β1, and update these priors using the observed data to obtain posterior distributions.
The joint likelihood for the Bayesian simple linear regression model depends on three components:
The likelihood function:

This represents the probability of observing the data given the model parameters.

For a simple linear regression model, the likelihood function is typically based on the assumption that the errors (ε) follow a normal distribution with mean 0 and variance \(\sigma^2.\)
The prior distributions:

These represent our beliefs about the model parameters (β0 and β1) before observing the data.

Common choices for priors include normal or uniform distributions.
The data:

The observed values of the dependent variable (y) and the independent variable (x) are used to update the prior distributions and obtain the posterior distributions for the model parameters.

The Bayesian form of the simple linear regression model involves updating our beliefs about the model parameters (intercept and slope) using prior distributions and observed data.

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Answer:

6

Step-by-step explanation:

The probability of producing less than 239,000 barrels is 0.8413.

The probability of producing less than 239,000 barrels can be found using the z-score formula. The z-score formula is given by:
z = (x - μ) / σ
Where x is the value we are interested in, μ is the mean, and σ is the standard deviation.
Plugging in the given values, we get:
z = (239,000 - 232,000) / 7,000
z = 1
Now, we can use the standard normal table to find the probability of producing less than 239,000 barrels. The standard normal table gives the probability of a value being less than a given z-score. For a z-score of 1, the probability is 0.8413.
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41x²/8+279/128x+6633/2048+(7703/2408)/16x+1 is the value when 6x³+20x²+27x+76x³+20x² +27x+7 is divided by 3x+13x+1.

A number system is defined as a system of writing to express numbers.

We need to find the value by long division method.

6x³+20x²+27x+76x³+20x² +27x+7 is divided by 3x+13x+1.

6x³+20x²+27x+76x³+20x² +27x+7  is equivalent to 82x³+40x²+54x+7

3x+13x+1 is equivalent to 16x+1

82x³+40x²+54x+7 id divided by 16x+1

82x³+40x²+54x+7 /16x+1 = 41x²/8+279/128x+6633/2048+(7703/2408)/16x+1

Hence, 41x²/8+279/128x+6633/2048+(7703/2408)/16x+1 is the value when 6x³+20x²+27x+76x³+20x² +27x+7 is divided by 3x+13x+1.

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Answer:

Principal amount was $895

Step-by-step explanation:

I=PRT

P= I/(RT)

P= 150.36/( 1.4% x 12)

P= 150.36/ (21/125)

P= 895

The another equivalent expression of total liquid is (x+2)/4.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

x quarts liquid in the container 3/4 part of liquid is removed

Then remaining liquid in container = X - \(\frac{3}{4}X\)

Then remaining liquid in container = x/4quarts

Another 1/2 quart is poured into container

Then total liquid = \(X-\frac{3}{4}X+\frac{1}{2}\) quarts

total liquid = \(\frac{X+2}{4}\) quarts

So, then the another equivalent expression of total liquid is (x+2)/4.

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Answer:

$9

Step-by-step explanation:

divide the value by thr total value then multiply by 100. formula=(value/total value)x100

The number of games that will be played in the first round will be 14 games.

It should be noted that the appropriate function to use in this scenario will be:

= (n - 1) × 2

where n = total number of people participating.

Therefore, this will be:

= (n - 1) × 2

= (8 - 1) × 2

= 7 × 2

= 14

Therefore, the number of games that will be played in the first round will be 14 games.

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For an increase of one hour in time worked, the predicted increase in the amount of money spent on entertainment is 1.86 units.

To find the predicted increase in the amount of money spent on entertainment for an increase of one hour in time worked, we need to find the slope of the line, which is the coefficient of x in the equation.

which means that for every one unit increase in x (which in this case is one hour worked), y (which in this case is the amount of money spent on entertainment) is predicted to increase by 1.86 units.

This is the change in the dependent variable (y) for a unit increase in the independent variable (x), based on the linear relationship described by the equation of the line fit.

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The estimated current total cost for the installed and insulated tank is $12,065.73.

The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:

surface_area = 2 * pi * r * h + 2 * pi * r^2

where:

r is the radius of the cylinder

h is the height of the cylinder

In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:

surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586

The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:

surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293

The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:

cost = 6.806032934459293 * (40 + 95) = $1,165.73

The original cost of the tank was $10,900, so the total cost of the insulated tank is:

cost = 10900 + 1165.73 = $12,065.73

Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.

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Answer:

The maximum volume of the cube is found to be 250/9√3 cubic meters.

A rectangular solid with a square base is also known as a cube. Here, we need to find the maximum volume of the cube having a surface area of 100 square meters. To find the maximum volume, we need to maximize the length, width, and height of the cube.

Let's assume that the length, width, and height of the cube are l, w, and h, respectively. Since the cube has a square base, we can write:

l = w

The surface area of the cube is given by:

2lw + 2lh + 2wh = 100

Substituting l = w, we get:

2lw + 2lh + 2wh = 2l² + 4lh = 100

l² + 2lh - 50 = 0

Solving the above quadratic equation using the quadratic formula, we get:

l = (-2h ± √(4h² + 200))/2 = -h ± √(h² + 25)

Since the length cannot be negative, we can ignore the negative value. Thus, we have:

l = √(h² + 25) - h

The volume of the cube is given by:

V = lwh = w²h

Substituting l = w and l = √(h² + 25) - h, we get:

V = w²h = (√(h² + 25) - h)h²

Differentiating the volume function with respect to h, we get:

dV/dh = 2h - √(h² + 25)

Setting dV/dh = 0 to find the maximum volume, we get:

2h = √(h² + 25)

4h² = h² + 25

h = √25/3

Substituting h = √25/3 in l = √(h² + 25) - h and l = w, we get:

l = w = 5/√3

Therefore, the dimensions of the rectangular solid (cube) with maximum volume and a surface area of 100 square meters are:

Length (l) = Width (w) = 5/√3 meters

Height (h) = √25/3 meters

The maximum volume of the cube is:

Volume (V) = (5/√3)²(√25/3)

V = 250/9√3 cubic meters

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Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms

These were the sets of axioms that were proposed by the man David Hilbert in the 1899. They are a set of 20 assumptions that he made. He made these assumptions as a treatment to the geometry of Euclid.

These helped to create a form of formalistic foundation in the field of mathematics. They are regarded as his axiom of completeness.

Hilbert’s axioms are divided into 5 distinct groups.  He named the first two of his axioms to be the axioms of incidence and the axioms of completeness. His third axiom is what he called the axiom of congruence  for line segments. The forth and the fifth are the axioms of congruence for angles respectively.

Hence we can conclude by saying that Hilbert axioms changed Euclid's theorem by identifying and explaining the concept of undefined terms.

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complete question

Hilbert’s axiom’s changed Euclid’s geometry by _____.

1 disproving Euclid’s postulates

2 utilizing 3-dimensional geometry instead of 2-dimensional geometry

3 describing the relationships of shapes

4 identifying and explaining the concept of undefined terms

Answer:

The answer should be x = 6

Answer:

3 x 12 - 14/2 + 15

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

In this, the very first two things I see is multiplication and division.

3 and 12 are being multiplied, and -14 and 2 are being divided.

So let's solve for those two first;

3 x 12 - 14/2 + 15

(3 x 12) (-14/2) + 15

36 - 7 + 15

Now we add 15 and 36,

(36 + 15) - 7

51 - 7

= 44

Answer:

Yes

Step-by-step explanation:

Answer:

46.8

Step-by-step explanation:

0.45 x 104

Answer:

The answer has no solutions but if you want it in imaginary numbers the answer would be x=-2i and x=2i

Answer:

No solution

Step-by-step explanation:

If the answer has no solution you can't change it, just write No solution

Answer:

bom é a soma dos algarismos se for matemática

Answer:

https://www.khanacademy.org/math/cc-eighth-grade-math/cc-8th-linear-equations-functions/8th-slope/v/converting-to-slope-intercept-form

Step-by-step explanation:

Answer:

Step-by-step explanation:

Standard is  ax + by = c so

3y - 15x +45 = 0

-15x + 3y = -45  <------- standard form

Slope intercept is y = ax + b

3y - 15x + 45 = 0

3y = 15x - 45

Divide through by 3:

y = 5x - 15.  <---- Slope.intercept.

Answer:

The side lengths are 32 units each

Step-by-step explanation:

Given

\(NM= 4x\)

\(KM = 6x - 16\)

Required

The side lengths and missing angles

Since JKMN is as square, then:

\(NM = KM\) -- all sides are equal

\(4x = 6x - 16\)

Collect like terms

\(4x - 6x = - 16\)

\(-2 x = - 16\)

Divide by -2

\(x = 8\)

Substitute \(x = 8\) in \(NM= 4x\)

\(NM = 4 * 8\)

\(NM = 32\)

The missing angles can't be solved without an attachment.

However, if the missing angles are the angles at the edges of the square, then they measure 90 degrees each (i.e. angles at right angle)