Select all the points that are on the graph of the line LaTeX: 2x + 4y = 202 x + 4 y = 20.

Answer:

Yes, people that taking part in an experiment are called variables.

There is normally one person called the dependent variable, and the other who is the independent variable.

The statement provided "people taking part in an experiment are called variables" is incorrect.

In an experiment, the individuals or subjects who participate and are observed or manipulated are not referred to as variables. Instead, they are called participants, subjects, or sometimes, respondents, depending on the context of the study.

Variables, on the other hand, are characteristics or properties that can vary or change among the individuals or subjects in the study. Variables can be classified as independent variables, dependent variables, or control variables.

Independent variables are manipulated or controlled by the researcher, while dependent variables are the outcomes or responses that are measured or observed.

Control variables are other factors that are held constant. Therefore, it is important to differentiate between the individuals participating in the experiment and the variables being studied.

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Answer is 0.50 per bar

Step-by-step explanation:

6÷12=0.50

To find the number of all subsets of the set A ∪ B with 4 elements, where A = {1, 2, 3, 6, 7} and B = {3, 6, 7, 8, 9}, we need to consider all possible combinations of elements from the union of A and B that have a cardinality of 4.

The cardinality of the union A ∪ B is 9, as it contains all distinct elements from both sets. We need to choose 4 elements from this union, which can be done in C(9, 4) ways, where C(n, r) denotes the combination of selecting r elements from a set of n elements.

Using the formula for combinations, C(n, r) = n! / (r! * (n - r)!), we can calculate the number of subsets.

C(9, 4) = 9! / (4! * (9 - 4)!) = 9! / (4! * 5!) = (9 * 8 * 7 * 6) / (4 * 3 * 2 * 1) = 126.

Therefore, there are 126 subsets of the set A ∪ B with 4 elements.

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As a result of answering the given question, we may state that So, in this instance, slope intercept  we have: m = (5 - 0) / (0 - 6)\s= -5/6 => (-5/6)(0) + b b = 5 y = mx + b 5 => y = (-5/6)x + 5

The slope-intercept form of a linear equation in mathematics is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point at which the line meets the y-axis. The slope-intercept form is a handy approach to represent a line's equation because it allows you to quickly see the line and determine its slope and y-intercept. The slope indicates how steep the line is, while the y-intercept indicates where the line intersects the y-axis.

We may use the slope-intercept form of the equation for a line to obtain the equation of the line that goes through the points (6, 0) and (0, 5).

y = mx + b

where m is the line's slope and b is the y-intercept (the point where the line intersects the y-axis).

First, we must determine the slope of the line. The slope of a line running between two points (x1, y1) and (x2, y2) is calculated as follows:

m = (y2 - y1) / (x2 - x1) (x2 - x1)

So, in this instance, we have:

m = (5 - 0) / (0 - 6)\s= -5/6

(-5/6)(0) + b b = 5 y = mx + b 5

y = (-5/6)x + 5

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Answer:

Option (4)

Step-by-step explanation:

Domain of a function is a set of x-values (Input values) of the function.

For the given graph of square root function,

x - values starts from x = 0 and tends to x = ∞

Therefore, domain of the function will be,

x ≥ 0

Option (4) will be the correct option.

Answer:

7 2/4 or 7 1/2

Step-by-step explanation: You can add the 3 3/4 to 3 3/4 or mutlipy 3 3/4 by 2 because you need to find the number of 2 batches.

Answer:

i) x=11⁰

ii) x=21⁰

iii) x=25⁰

Step-by-step explanation:

You can find the complete solution in the given attachment

I hope it helped you

Answer:

Step-by-step explanation:

Step one:

given data

cost of plan = $200

monthly charge= $50

let the number of months be x

and the total be y

Step two:

Required

the equation to represent the situation is the same as the straight line equation

y=50x+200

Type I error (also called a false positive) occurs when a null hypothesis is rejected when it is actually true. The probability of committing a Type I error is denoted by the symbol alpha (α), and is typically set at a certain level (e.g., 0.05 or 0.01) depending on the significance level desired for the hypothesis test.

Type II error (also called a false negative) occurs when a null hypothesis is not rejected when it is actually false. The probability of committing a Type II error is denoted by the symbol beta (β). The power of a statistical test is equal to 1 minus the probability of a Type II error (i.e., power = 1 - β).

Therefore, the statement that is true regarding the probability of Type I and Type II errors is that they are complementary to each other. That is, as the probability of a Type I error decreases (by setting a lower significance level), the probability of a Type II error generally increases (i.e., the power of the test decreases). Conversely, as the probability of a Type II error decreases (by increasing the sample size or effect size), the probability of a Type I error generally increases. It is important to strike a balance between controlling these two types of errors, depending on the specific goals and context of the research or hypothesis test.

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The interpolated values at x = 3, x = 5, and x = 7 using Lagrange polynomials are as follows:

f(3) ≈ 5.15, f(5) ≈ 5.40, f(7) ≈ 4.90

Lagrange polynomials are a method used for polynomial interpolation, which allows us to estimate the value of a function at a point within a given range based on a set of data points. In this case, we are given the data set: f(x) 10 5 X 1 4 6 9 2 1.

To interpolate the values at x = 3, x = 5, and x = 7, we need to construct the Lagrange polynomials using the given data points. Lagrange polynomials use a weighted sum of the function values at the given data points to determine the value at the desired point.

For x = 3:

f(3) ≈ (5*(3-1)*(3-4))/(2-1) + (1*(3-2)*(3-4))/(1-2) = 5.15

For x = 5:

f(5) ≈ (10*(5-1)*(5-4))/(2-1) + (4*(5-2)*(5-4))/(1-2) + (1*(5-2)*(5-1))/(4-2) = 5.40

For x = 7:

f(7) ≈ (10*(7-1)*(7-4))/(2-1) + (4*(7-2)*(7-4))/(1-2) + (1*(7-2)*(7-1))/(4-2) + (6*(7-1)*(7-2))/(9-1) = 4.90

Therefore, the interpolated values at x = 3, x = 5, and x = 7 using Lagrange polynomials are approximately 5.15, 5.40, and 4.90, respectively.

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Answer:

TRUE and FALSE  (please look at step-by-step)

Step-by-step explanation:

How to know if it's true or false, you just simply plug in the given numbers to the x and y values.

x = -3

y = 11

for the x - 3y = -36 equation:

-3 -3(11) = -36

-3 - 33 = -36

This equation is true.

for the 3x + 4y = 48 equation:

3(-3) + 4(11) = 48

-9 + 44 = 35

This equation is false.

Answer: £535

Step-by-step explanation:

Herr is the complete question:

Tim and three friends go on holiday together for a week.

The 4 friends will share the costs of the holiday equally,

Here are the costs of the holiday.

£1280 for 4 return plane tickets

£640 for the villa

£220 for hire of a car for the week

Work out how much Tim has to pay for his share of the costs.

Firstly, we have to calculate the total cost of the holiday. This will be:

= £1280 + £640 + £220

= £2140

We are also told that they will share the costs equally. Since there are 4 people, Tim will have to pay:

= £2140 ÷ 4

= £535

Tim will pay £535

Answer:

y = 4/6x - 4

Step-by-step explanation:

y = mx + b, m = slope and b = y intercept

Rise over run

Rise = +4

Run = +6

This means the slope is 4/6.

The y intercept is at -4.

Now, plug in the numbers for y = mx + b

y = 4/6x - 4

If Rob can produce either 10 cows or 20 pigs and Big can produce either 9 cows or 36 pigs per day then the person that have comparative  advantage in production of Cows is Rob and in production of Pigs is Big .

For Rob :

in 1 day , the number of cows produced is = 10 cows ,

the number of pigs produced is = 20 pigs ;

For Big :

in 1 day , the number of cows produced is = 9 cows ,

the number of pigs produced is = 36 pigs ;

On comparing ,we get that Rob produces more number of Cows than Big;

and also Big produces more number of Pigs than Rob .

Therefore , Rob has advantage in production of Cows and Big has advantage in production of pigs .

The given question is incomplete , the complete question is

Suppose that Rob and Big both raise animals and sell them. Because Rob and Big have different talents, they have varying abilities to raise these animals. In 1 day, Rob can produce either 10 cows or 20 pigs. In 1 day, Big can produce either 9 cows or 36 pigs.

Find who has the comparative advantage in the production of cows and pigs .

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Just add the coordinates of another point to translate it.

Really simple, you have a vector like <f(x), g(x)>  (the vector is defined by functions just because it does not need to be a constant one) that starts at the origin, if you want to translate it to a point (a, b) (so our vector starts there now) just add any point like (a, b) so you get:

<f(x), g(x)> + (a, b) = <f(x) + a, g(x) + b>

Now your vector starts at the point (a, b), so you translated it. So that is the rule to translate vectors by using integer operations.

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In completing the square method, considering the equation X^2 + 82x +  the number to be added should be 1681 to make it a perfect square

The quadratic equation is an equation of the form

ax^2 + bx + c

The completing the square method is on of the methods of solving equations of the form above

The factor to be added on the both sides of the equation while using the completing the square method is

(b / 2a)^2

compared to the equation in the problem X^2 +82x

= (b / 2a)^2

= (82 / 2)^2

= (41)^2

= 1681

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(-4, 2)

This point lies on the second quadrant because this point has negative x-axis value and positive y-axis value

(-1, 0)

This point also lies on the x-axis because the y-axis value is zero.

(-4, -6)

This point also lies on the third quadrant because this point has negative x-axis and y-axis values

On the cartesian plane, four regions are created at the point where the X and Y axes intersect at 90 degrees. These regions are known as quadrants. Each of the four quadrants in each plane is therefore bound by one-half of the axes. Depending on where they are in relation to the axes, each quadrant is identified by a Roman numeral and given the names Quadrant I, Quadrant II, Quadrant III, and Quadrant IV.

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Answer:

C - The relationship represents a function because each input gives one unique output.

Step-by-step explanation:

To see if it is a function we can do the line test where we have a vertical line and "drag" it along the line. As long as it only hits the line once in every situation it is a function! We can see this passes and therefore the answer is c.

(why is it not d? you can have a non-linear line, but still have a function)

if the family gives up two nights in the hotel, they could afford d) 5 meals

The family has a budget of $800 for meals and hotel accommodations. If they could afford eight nights in a hotel without buying any meals, we can determine the cost of one night at the hotel. To do this, we can divide the total budget by the number of nights:

$800 / 8 nights = $100 per night

Now, let's consider the scenario where the family gives up two nights in the hotel. This would free up $200 from their budget ($100 per night x 2 nights). We can then use this amount to determine how many meals the family can afford by dividing the available funds by the cost of one meal:

$200 / $40 per meal = 5 meals

Therefore, if the family gives up two nights in the hotel, they could afford 5 meals. The correct answer is d. 5.

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Answer:

$7,012.76

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 7/100

r = 0.07 rate per year,

Then solve the equation for A

A = P(1 + r/n)nt

A = 5,000.00(1 + 0.07/1)(1)(5)

A = 5,000.00(1 + 0.07)(5)

A = $7,012.76

Summary:

The total amount accrued, principal plus interest, with compound interest on a principal of $5,000.00 at a rate of 7% per year compounded 1 times per year over 5 years is $7,012.76.

Answer:I believe the answer should be 120 square cm (:

Step-by-step explanation:

Answer:

Hi, I belive your answer is 24.

Sorry if it is incorrect.

here is how I got my answer;

6 x 2 = 12 x 2 = 24.

There you go. Have a great day!

Step-by-step explanation:

As a result, on a graph of dP/dt vs P, the curve would be concave down for P b/a and concave up for P > b/a. The curve would reach its maximum when P = b/a, with dP/dt equal to zero.

In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

Here,

The equation dP/dt = aP² - bP represents the rate of change of the population P over time t.

When dP/dt is positive, the population is increasing. When dP/dt is negative, the population is decreasing.

To find when dP/dt is positive and negative, we need to find the critical points where dP/dt = 0.

Solving the equation dP/dt = aP² - bP = 0, we get:

aP² - bP = 0

aP(P - b/a) = 0

This equation has two solutions: P = 0 and P = b/a.

For P < b/a, dP/dt is negative (the population is decreasing). For P > b/a, dP/dt is positive (the population is increasing).

So, on a graph of dP/dt against P, the curve would be concave down for P < b/a and concave up for P > b/a. At P = b/a, the curve would have a maximum and dP/dt = 0.

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Answer:

F(-3) = -5

Step-by-step explanation:

I got it right on the test

To evaluate a function in a calculator take the help of scientific notations available on the calculator.

What is a function?

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

To evaluate a function on a calculator.

Use the scientific notations available in the calculator.

The ^ symbol is for applying power to a variable or integer.

The basic variables x, y are given in the calculator.

All the integers from 0 to 9 are present in the calculator.

Also the operators such as + , - , × , ÷ are also present on the calculator.

Enter the polynomial function in the calculator.

The calculator will evaluate the function in seconds.

Therefore, scientific notations help in evaluating functions.

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On using the distribution method the value could be  \(e ^ {t^{2}\)/ 2

What is the Gamma Distribution  ?

A distribution which is described as two parameters – shape parameter and inverse scale parameter, having continuous probability distributions.

Given,

Z be a standard normal random variable: i. E. , Z ∼ N(0, 1).

Using the distribution method, find the pdf of U = Z 2.

And Using result from previous part, show that pdf of U follows a special case of Gamma distribution and also of χ 2 distribution.

Suppose e Z ∼ N (0, 1),  then

mZ (t) = 1√2πetxe−x2/2dx

= et2/21/√2π

\(e ^ {-(x-t)^{2} /2\) dx

= \(e ^ {t^{2}\)/ 2

hence, on using the distribution method the value could be \(e ^ {t^{2}\)/ 2

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The answer is 80, because if you work backwards, you add 30 by 10, which equals 40, 40*2 equals 80.

The value of x in the diagram is 100 degrees

From the question, we have the following parameters that can be used in our computation:

The figure

On the figure, we can see that:

The angle x and 100 degrees are alternate angles

Alternate angles have equal values

So, we have

x = 100

Hence, the value is 100 degree

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