If w = <3. 5, -6> and z = <-1. 5, -4>, what is the resulting vector for 2w − z? A. <5, -2> B. <10, -4> C. <8. 5, -8> D. <5. 5, 12>.

The assumptions for a chi square test for homogeneity are

In statistics, the chi square test is used to determine where there exists a relationship or association between two variables

Amongst other assumptions, the variables are assumed to be categorical variables.

This means that variables can be used as labels

The other assumptions are:

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8.27 is the normally distributed value of the shelf life which falls under 16% of the battery shelf life.

Because the shelf life of a battery manufactured by one big business is known to be regularly distributed, we would use the normal distribution formula, which is stated as

z = (x - µ) ÷ σ

Where

x = shelf life of a battery in years.

µ = mean shell life

σ = standard deviation

Based on the facts provided,

µ = 8 years

σ = 0.3 years

The z score corresponds to a p-value of 16% in the normal distribution table,

(16 ÷ 100 = 0.16) is - 0.9.

Therefore,

- 0.9 = (x - 9) ÷ 0.3

0.3 × (- 0.9) = x - 8

0.27 = x - 8

x = 0.27 + 8

x = 8.27

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A proton has a mass of \($$1.6726 * 10^{-24}\) g corresponds to 1.0072766 Atomic Mass Unit

A proton exists 1836.096 times heavier than an electron.

Proton Mass = 938.2720813 \($$MeV/c_2\)

Electron = 0.5109989461 \($$MeV/c_2\)

E : P Ratio = 1 : 1836.15267

\($$m_{p\) = mass of a proton (1.007277 AMU)

\($$m_n\) = mass of a neutron (1.008665 AMU)

\($$m_e\) = mass of an electron (0.000548597 AMU)

\($$m_{atom}\) = mass of nuclide (AMU)

A proton has a mass of \($$1.6726 * 10^{-24}\) g corresponds to 1.0072766 Atomic Mass Unit

[AMU, Atomic Mass Unit exists utilized to describe atomic and molecular weights, equivalent to one-twelfth of the mass of an atom of carbon-12].

Whereas, the Electron exists at \($$9.1093 * 10^{-28}\) equaling 0.000548597 AMU.

Electron to Proton Ratio = 1: (0.000548597 / 1.0072766)

= 1836.096

A proton exists 1836.096 times heavier than an electron.

Proton Mass = 938.2720813 \($$MeV/c_2\) (MeV= Mega Electron Volt)

(As per Mass - the energy equivalence principle, energy exists proportional to mass whereby, an electron volt exists also as a unit of Mass. Energy can be converted to Momentum and Mass)

Electron = 0.5109989461 \($$MeV/c_2\)

E : P Ratio = 1 : 1836.15267

Therefore, the correct answer is E : P Ratio = 1: 1836.15267.

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Equation of a line in slope-intercept form

where m is the slope and b is the y-intercept.

The slope of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:

This line passes through (2,5) and (6,1), then its slope is:

Substituting with the point (2, 5) and m = -1 into the general equation and solving for b:

Substituting with m = -1 and b = 7 into the general equation, the equation of this line is:

Answer:

3k-30

Step-by-step explanation:

3(k-10) = 3k-30

hope this help

-2^2 < 3

and

-1 > 0

Both are false

Answer: |-9| is not equal to |9| is not true. This is because |-9| is 9 and so is |9|.

Answer:

52 + 13x

Step-by-step explanation:

To distribute something means to divide / share a part of something. The distributive property works similarly. The distributive property states that multiplying the total sum of two variables by a number is the same as the total sum of each product of individual variables and the number.

For example: a(b+c) = ab + ac

Therefore, in order to distribute the 13 into the terms inside the parentheses, you follow the distributive property and multiply each individual variable in the parentheses by 13 and add all the resulting products.

13(4 + x) = (13*4) + (13*x) = 52 + 13x

Answer:

4

Step-by-step explanation:

took test on edge :D

The equation 4x + 3y = -18 is parallel to the given line since they have the same slope.

The equation of a line in slope-intercept form is expressed as y = mx + b

where

m is the slope

b is the y-intercept

Given the equation below

y =-4/3x-7

The slope of the line is -4/3.

In order to determine the equation that represents a line which is parallel to the line, we need to determine the line that has a slope of -4/3

For the equation 4x + 3y = -18:

3y = -4x - 18

Divide through by 3 to have:

3y/3 = -4x/3 - 18/3

y = -4/3 x - 6

Since the slope of the line is -4/3, hence the equation 4x + 3y = -18 is parallel to the given line.

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To create a calculator in a C# Windows Form application, you can follow these steps:

1. Open Visual Studio and create a new Windows Forms Application project.
2. Design the user interface of the calculator by dragging and dropping the necessary controls from the Toolbox onto the form. You will need buttons for numbers, arithmetic operations (+, -, *, /), and an equals (=) button. You can also add a text box to display the result.
3. Set properties for each control to specify their appearance and functionality. For example, you can set the text property of each button to represent the corresponding number or operation.
4. Write the code for handling button clicks and performing calculations. Double-click on each button to create an event handler for the Click event. Inside the event handler, you can access the button's text property to determine which button was clicked. Use conditional statements and switch-case statements to handle different button clicks.
5. Create variables to store the numbers entered by the user and the result of the calculations. You can use the double data type for these variables.
6. Implement the logic for performing calculations based on the button clicked. For example, when the "+" button is clicked, you can add the two numbers together and display the result in the text box. Similarly, you can handle other arithmetic operations.
7. Use the TryParse method to convert the button's text to a double value and store it in the appropriate variable. This will allow you to perform calculations correctly.
8. Display the result of the calculations in the text box by assigning the calculated value to the text property of the text box.
9. Test your calculator by running the application and clicking on the buttons to perform calculations. Verify that the calculator performs the desired calculations and displays the correct results.

Here is a simplified example of code for handling button clicks and performing calculations in a C# Windows Form application:

```csharp
private double firstNumber;
private double second number;
private string operation;

private void NumberButton_Click(object sender, EventArgs e)
{
   Button button = (Button)sender;
   textBox.Text += button.Text;
}

private void OperationButton_Click(object sender, EventArgs e)
{
   Button button = (Button)sender;
   operation = button.Text;
   firstNumber = double.Parse(textBox.Text);
   textBox.Clear();
}

private void EqualsButton_Click(object sender, EventArgs e)
{
   secondNumber = double.Parse(textBox.Text);
   double result = 0;

   switch (operation)
   {
       case "+":
           result = firstNumber + secondNumber;
           break;
       case "-":
           result = firstNumber - secondNumber;
           break;
       case "*":
           result = firstNumber * secondNumber;
           break;
       case "/":
           result = firstNumber / secondNumber;
           break;
   }

   textBox.Text = result.ToString();
}
```

Remember to adjust the code and customize the user interface according to your specific requirements.

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Answer:

Step-by-step explanation To determine if a number is prime or composite, follow these steps: Find all factors of the number. If the number has only two factors, 1 and itself, then it is prime. If the number has more than two factors, then it is composite.

Step-by-step explanation:

prime is a number that another number can go into except 1, composite is a number that cannot be divided by anything but 1

Multiplying matrices is a mathematical operation used to find the total cost of ads for each target group.

The order in which the matrices are multiplied is important because matrix multiplication is not commutative, meaning the result can differ depending on the order of multiplication. In the context of the problem, the order of multiplication determines how the various factors, such as the costs and target groups, are combined to calculate the total cost for each group. In the context of finding the total cost of ads for each target group, matrices are used to represent the costs and the allocation of ads to different groups. Let's say we have a matrix representing the costs of ads and another matrix representing the allocation of ads to target groups. To find the total cost for each group, we multiply these matrices.

However, matrix multiplication is not commutative, meaning that changing the order of multiplication can yield different results. This is because the order of multiplication determines how the elements of the matrices are combined. In the given problem, the order of multiplication determines how the costs and the allocation of ads are multiplied and summed to obtain the total cost for each target group.

For example, if we multiply the matrix representing the costs by the matrix representing the allocation of ads, we would be multiplying the costs by the number of ads allocated to each group, resulting in the total cost for each group. If we reverse the order and multiply the matrix representing the allocation of ads by the matrix representing the costs, the result would be different because we would be multiplying the number of ads allocated to each group by the costs, which would not give us the desired total cost for each group.

Therefore, the order of multiplication is important in this context to ensure that the factors, such as the costs and the allocation of ads, are correctly combined to calculate the total cost for each target group.

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The logistic differential equation for the hyena population is given by:

dP/dt = r * P * (1 - P/K)

where P(t) is the hyena population at time t, r is the growth rate, and K is the carrying capacity.

We are given that:

P(t) = 40 + k * e^(-0.57t)

K = 200

To determine the value of k, we can plug in these values into the logistic differential equation and solve for k:

dP/dt = r * P * (1 - P/K)

dP/dt = r * P * (1 - P/200)

dP/dt = r/200 * (200P - P^2)

dP/(200P - P^2) = r dt

Integrating both sides, we get:

-1/200 ln|200P - P^2| = rt + C

where C is a constant of integration.

Using the initial condition P(0) = 40 + k, we can solve for C:

-1/200 ln|200(40+k)-(40+k)^2| = 0 + C

C = -1/200 ln|8000-480k|

Plugging in this value of C and simplifying, we get:

-1/200 ln|200P - P^2| = rt - 1/200 ln|8000-480k|

ln|200P - P^2| = -200rt + ln|8000-480k|

|200P - P^2| = e^(-200rt) * |8000-480k|

200P - P^2 = ± e^(-200rt) * (8000-480k)

Since the population is increasing, we choose the positive sign:

200P - P^2 = e^(-200rt) * (8000-480k)

Using the initial condition P(0) = 40 + k, we get:

200(40+k) - (40+k)^2 = (8000-480k)

8000 + 160k - 2400 - 80k - k^2 = 8000 - 480k

k^2 + 560k - 2400 = 0

(k + 60)(k - 40) = 0

Thus, k = -60 or k = 40. Since k represents a growth rate, it should be positive, so we choose k = 40. Therefore, the value of the constant k is option (A) 4.

For the second part of the question, the logistic equation that could model the growth in the graph is option (B) dM/dt = (20-M)*(M-50). This is because the carrying capacity is between 20 and 50, and the population growth rate is zero at both of these values (i.e. the population does not increase or decrease when it is at the carrying capacity).

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Answer:

When t= 0

f(t)= 40 degrees

The value of −32(2.718)^−0.06t approach 0 as t increases

If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72

Step-by-step explanation:

The temperature of the juice can be modeled by the following function: f(t)=72−32(2.718)−0.06t, where t is measured in minutes after the juice is taken out of the refrigerator.

f(t)=72−32(2.718)^−0.06t

When t= 0

f(t)=72−32(2.718)^−0.06(0)

f(t)=72−32(2.718)^(0)

f(t)=72−32(1)

f(t)=72−32

f(t)= 40 degrees

As t increases −32(2.718)^−0.06t

Let t= 1

=−32(2.718)^−0.06(1)

= −32(2.718)^−0.06

= -30.14

Let t = 2

=−32(2.718)^−0.06(2)

=−32(2.718)^−0.12

=−32(0.8869)

= -28.38

The value of −32(2.718)^−0.06t approach 0 as t increases

If −32(2.718)^−0.06t approach 0 as t increases then f(t)=72−32(2.718)−0.06t approach 72

When t = 0, the temperature of the juice is 40°.

                    As time increases, \(-32(2.718)^{-0.06\times 0}\) gets closer and closer to 0.

                    So, f(t) gets close to 72°

    Function representing the temperature of of the juice at any time 't' is,

\(f(t)=72-32(2.718)^{-0.06t}\)

1). If t = 0,

  \(f(0)=72-32(2.718)^{-0.06\times 0}\)

          \(=72-32(1)\)

          \(=40\) degrees

2). If \(t\rightarrow \infty\),

    \(-\frac{1}{32(2.718)^{0.06t}} \rightarrow 0\)  

[As denominator of the fraction becomes larger and larger with the increase in the value of t, value of fraction gets smaller and smaller]

3). if \(t\rightarrow \infty\), \(f(t)\rightarrow 72\)

  Therefore, when t = 0, the temperature of the juice is 40°.

                    As time increases, \(-32(2.718)^{-0.06\times 0}\) gets closer and closer to 0.

                    So, f(t) gets close to 72°.

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The solution of the given inequality is x < –5 or x > 2

Equations are not always balanced on both sides using an "equal to" symbol in mathematics. Sometimes it can be about a "not equal to" relationship, meaning that something is greater than or lower than another.

In mathematics, an inequality is a relationship between two numbers or other mathematical expressions that results in an unequal comparison. Inequalities are the name given to certain algebraic mathematical expressions.

Here we have

|2x + 3| < 7  

=> 2x + 3 > 7  or 2x + 3 < - 7

Take 2x + 3 > 7

Add  - 3 on both sides    

=> 2x + 3 - 3  > 7 - 3

=> 2x  > 4

Divide by 2 into both sides

=>  2x/2 > 4/2

=> x > 2

Take 2x + 3 < - 7  

Add  - 3 on both sides  

=> 2x + 3 - 3  < - 7 - 3

=> 2x  < -10

Divide by 2 into both sides

=> 2x/2 < -10/2

=> x < -5    

Therefore,

The solution of the given inequality is x < –5 or x > 2

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5

your equation is written in y = mx + b

where m is your slope.

5 = m

Answer:

f(x) = 4x4 – 7x2 + x + 25 f(x) = 9x4

Step-by-step explanation:

Because it has to be this one

After 15 more years of contributions of $4,000 at the end of each quarter, the retirement account will be worth approximately $760,514.47.

To calculate this, we need to use the formula for the future value of a lump sum. A lump sum is a one-time payment made at the beginning or end of a specific period. In this case, we're looking at the future value of the retirement account after 15 more years of contributions.

Using the given information, we can plug in the values and solve for FV:

PV = $150,000

Pmt = $4,000

r = 10%

n = 4 (since interest is compounded quarterly)

t = 15 years

First, we need to calculate the future value of the current investment of $150,000:

FV1 = $150,000 x (1 + 0.1/4)⁴ ˣ ¹⁵ = $548,534.24

Then, we can calculate the future value of the quarterly contributions of $4,000 over 15 years:

FV2 = $4,000 x [(1 + 0.1/4)⁶⁰ - 1] / (0.1/4) = $211,980.23

Finally, we can add FV1 and FV2 to get the total future value of the retirement account after 15 more years:

Total FV = FV1 + FV2 = $548,534.24 + $211,980.23 = $760,514.47

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Answer:

3

Step-by-step explanation:

The slope is -3/1 so for every 3 horizontal spaces you move, you move 1 vertical space.

Feel free to mark as brainliest if im correct :)

Answer:

The selling price of the bag is $22.5

Step-by-step explanation:

Buying Price = $25,

Selling Price = ?

Since they sold it at a loss of 10%,

So, they sold it for a price 10% less than the buying price,

or at 90% or 0.9 of the buying price,

so,

Selling Price = (0.9)(25) = $22.5

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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The length of the major axis of the horizontal ellipse is 5 units.

The length of the major axis of a horizontal ellipse, we need to determine the distance between the center and one of its vertices.

Given that the center of the ellipse is at (2, 1) and one of its vertices is at (7, 1), we can calculate the distance between these two points.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the formula:

Distance = √((x₂ - x₁)² + (y₂ - y₁)²)

using this formula, we can find the distance between (2, 1) and (7, 1):

Distance = √((7 - 2)² + (1 - 1)²)

= √(5² + 0²)

= √25

= 5

Therefore, the length of the major axis of the horizontal ellipse is 5 units.

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Answer:

k=5

Step-by-step explanation:

\(f(x)=x^2-6x+14\)

\((\frac{b}{2} )^2= (\frac{-6}{2})^2= (-3)^2=9\)

\(f(x)-5=x^2-6x+9\)

\(f(x)-5=(x-3)^2\)

\(f(x)=(x-3)^2+5\)

\(k=5\)

Answer:

15

Step-by-step explanation:

Answer:

230-300= -70

All you have to do is subtract :)

From the given information, cholesterol level X follows the N(222, 37) distribution.

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be calculated by using the z-score formula as follows:

z = (x - μ) / σ

For lower limit x1 = 200, z1 = (200 - 222) / 37 = -0.595

For upper limit x2 = 240, z2 = (240 - 222) / 37 = 0.486

The probability of having borderline high cholesterol (between 200 and 240 mg/dl) can be computed as

P(200 ≤ X ≤ 240) = P(z1 ≤ Z ≤ z2) = P(Z ≤ 0.486) - P(Z ≤ -0.595) = 0.683 - 0.277 = 0.406

In this population, 90% of men have a cholesterol level that is at most X90.The z-score corresponding to a cholesterol level of X90 can be calculated as follows:

z = (x - μ) / σ

Since the z-score separates the area under the normal distribution curve into two parts, that is, from the left of the z-value to the mean, and from the right of the z-value to the mean.

So, for a left-tailed test, we find the z-score such that the area from the left of the z-score to the mean is 0.90.

By using the standard normal distribution table,

we get the z-score as 1.28.z = (x - μ) / σ1.28 = (X90 - 222) / 37X90 = 222 + 1.28 × 37 = 274.36 ≈ 274

The cholesterol level of 90% of men in this population is at most 274 mg/dl.

The distributions that we can consider to be approximately normal are the sampling distribution of mean BMI for random samples of 60 adults and the sampling distribution of mean BMI for random samples of 9 adults.

The reason for considering these distributions to be approximately normal is that according to the Central Limit Theorem, if a sample consists of a large number of observations, that is, at least 30, then its sample mean distribution is approximately normal.

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The value of the given and completed expression in this problem is

-1

Combined operations are defined as a set of operations applied to the same problem, for example addition, subtraction, multiplication, are frequently used in arithmetic polynomials.

In this case we have an arithmetic polynomial.

We complete the expression as follows:

1 + 2 - 3 + 4 - 5

We group the positive terms on one side and negative terms on the other:

The value of the expression (1 + 2 - 3 + 4 - 5) is -1

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Step-by-step explanation:

hjh e e l c ma'am ww ww I can get a few

Answer:

B. Evidence

Step-by-step explanation:

Reference: like when your drawing something and you want to make sure that you draw the hair the same way some other person did.

Cite: That’s when you give the credits to someone or something 90% sure

Hope this helps :)