What’s is
the slope of the line
that contains these Points -2,8) (1,2)(2,0)(4,-4)
Solve with algebra

Answer:

Step-by-step explanation:

The length of a curve can refer to the arc length of a function, or the distance along a curved path between two points.

Arc Length of a Function:

For a continuous and differentiable function y = f(x) defined over an interval [a, b], the arc length of the curve between x = a and x = b can be found using the following definite integral:

L = ∫_a^b √(1 + (dy/dx)^2) dx

Where L is the arc length, dy/dx is the derivative of the function with respect to x, and the integral is taken from x = a to x = b.

Length of a Curved Path:

For a curved path defined by a continuous and differentiable function y = f(x), the length of the path between two points (x1, y1) and (x2, y2) can be found using the same definite integral formula as the arc length of a function:

L = ∫_(x1)^(x2) √(1 + (dy/dx)^2) dx

Where L is the length of the path and the integral is taken from x = x1 to x = x2.

Note that finding the exact length of a curve can sometimes be difficult and may require numerical methods such as numerical integration or approximation techniques like Simpson's rule.

How to convert litres into grams?

Answer:

true

Step-by-step explanation:

because there's less humidity

Answer:

Yes because I can see people very sleep-deprived and even if 7 hours is not enough, it's better than 6. For the people who sleep 9 and a half hours, they have 1 more hour to get ready. The median is 8 which most likely means, most of the students will be able to sleep the recommended amount with the extra hour.

Step-by-step explanation:

a. Two populations.

b. Qualitative (categorical) data.

c. Proportion stats.

d. Null hypothesis: p1 = p2 (The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch). Alternative hypothesis: p1 > p2 (The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch).

e. Z-test for two proportions.

f. P-value.

g. A small P-value provides convincing evidence to support Phoebe's hunch that older students are more likely to bring a bag lunch than younger students.

h. 95% confidence interval to estimate the difference in proportions.

What is hypothesis?

A hypothesis is a proposed explanation or assumption that is tested through research and data analysis. It is a statement that suggests a relationship or difference between variables or phenomena and serves as a basis for scientific investigation.

a. There are two populations in this problem: the population of seniors and the population of sophomores.

b. This is a problem about qualitative (categorical) data since we are examining whether students bring a bag lunch or not.

c. We will use the proportion stats option in StatCrunch to complete this problem.

d. Null hypothesis (H0): The proportion of seniors who bring a bag lunch is equal to the proportion of sophomores who bring a bag lunch.

Alternative hypothesis (Ha): The proportion of seniors who bring a bag lunch is greater than the proportion of sophomores who bring a bag lunch.

e. The test statistic is the z-test for two proportions.

f. The P-value is the probability of observing a test statistic as extreme as the one calculated, assuming the null hypothesis is true.

g. The strength of the P-value determines the level of evidence against the null hypothesis. If the P-value is small (below the significance level), it provides strong evidence against the null hypothesis. In this case, a P-value less than 0.05 (assuming significance level α = 0.05) would suggest convincing evidence to support Phoebe's hunch.

h. To construct a 95% confidence interval to estimate the difference in proportions, we use the formula:

Confidence interval = (p1 - p2) ± z * sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))

where p1 and p2 are the sample proportions, n1 and n2 are the sample sizes, and z is the critical value corresponding to the desired confidence level (in this case, z value for a 95% confidence level).

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Answer:

100 + 30d

Step-by-step explanation:

She earns $30 every day, so we multiply 30 by d, where d is the number of days she works. We then add that to the $100 she hasin her account already to get the new total.

Answer:

13

Step-by-step explanation:

Answer:

c=13

Step-by-step explanation:

Hey There!

c+11=24

When looking at this problem you want to get the variable on one side (c) and the constant on the other ( any whole number)

as you can see we need to get rid of the 11 on the left side

to do that we subtract 11 but whatever you do to one side you have to do to the other side

11-11 cancels out

24-11=13

so we can conclude that

c=13

Answer:

1/12 and 1/3

Step-by-step explanation:

There are 2 choices for flipping a coin (heads or tails) and 6 choices for rolling the die (1 - 6) so the total possible outcomes are 2 * 6 = 12. Of these, there's only one possibility where we get a tail and a 5 so the answer to b is 1/12. For c, there's only one head but there are 4 numbers less than 5 (1 - 4) so the total number of outcomes that satisfy our condition is 1 * 4 = 4 which makes the probability 4/12 = 1/3.

Answer:

Step-by-step explanation:

The probable results are:

Head + 1/2/3/4/5/6

Tail + 1/2/3/4/5/6.

B. This gives 12 results and tail + 5 is one of them, so the probability of getting that is 1/12.

C. A result with a head and a number less than 5 is available 4 times, making the fraction 4/12 or 3/4

Hope this helps

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

An example would be y = -x.

Step-by-step explanation:

Since the y-intercept is 0, we don't have to write it out. The slope has to be negative, so I chose -1 as the slope. We don't have to write 1 when we use it as a coefficient, so that is why I wrote it as -x. Now to put it all together in slope intercept form, we get y = -x.

Hope this helps.

Give brainliest please

Answer:

I think  52.5 units squared

Step-by-step explanation:

12*4=60/2=30.

5*9=45/2=22.5!

30+22.5=52.5

Answer:

D.

Step-by-step explanation:

f(x) = \(\sqrt[3]{4x}\)

g(x) = 2x + 3

\(\frac{f}{g}\) (x)  = 'f' divided by 'g'

\(\frac{\sqrt[3]{4x} }{2x+3}\)    Substitute.

x cannot be -\(\frac{3}{2}\) because that would create a zero in the denominator.

That's a no-no.

It makes it 'undefined'

Answer:

your questions is wrong it's 2×2-6x=56

answer= X=-9

Step-by-step explanation:

2×2-6x=56

4-6x=56

-6x=56-4

-6x=54

-X=54/6

-X=9

X=-9

Given the expression:

The exact value of:

Then:

Evaluating, we have:

Answer:

D' (-6, -2)

Step-by-step explanation:

3 units up means y will increase by 3

y = -5 + 3 = -2

x will stay the same

x = -6

New coordinate

D' (-6, -2)

Answer:

50% is 1/2 as a fraction

Step-by-step explanation:

50% = 50/100 = 1/2

Answer:

1/2

Step-by-step explanation:

Explanation:

"Percent" or "%" means "out of 100" or "per 100", Therefore 50% can be written as: 1/2

The problem presents a system of linear equations in two variables.To solve the system, we can use methods such as substitution or elimination.

The goal is to find the prices of adult tickets (x) and child tickets (y) based on the given information. The system of equations is:

2x + y = 32,

x + 3y = 36.

The solution to the system will provide the values of x and y that satisfy both equations simultaneously.

In the first equation, if we solve for y in terms of x, we get y = 32 - 2x. Substituting this expression for y into the second equation, we have x + 3(32 - 2x) = 36. Simplifying further, we obtain x = 8.

Substituting x = 8 back into the first equation, we find y = 32 - 2(8) = 16.

Therefore, the price of an adult ticket is $8, and the price of a child ticket is $16. These values satisfy both equations in the system, and they represent the solution to the problem.

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A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables.

In Mathematics, there are different types of functions and these include the following;

For the given function f(x) = 3√(x - 2), the restriction on the value under the square root symbol is that it cannot take a negative number. This ultimately implies that, all the values under the square root symbol must be greater or equal to 0.

A domain can be defined as the set of all real numbers for which a particular function is defined. Thus, the domain of this function are all real numbers and these include the following:

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Answer: the answer is 12

Step-by-step explanation:

2x+6 =4x-12

-2x=-18

x=9

3(9)-15

27-15

12

Software engineer seeks promotion, complex problem. Expert guidance or economic literature recommended for comprehensive solution.

The given problem involves analyzing different scenarios related to a software engineer seeking a promotion in a tech firm. It covers the outcomes and implications of various options available to the employee, including taking a sabbatical for an Executive MBA degree and disclosing GPA to the manager.

To provide a complete solution and analysis for all the parts, it would require a detailed explanation and mathematical modeling. Given the complexity and length of the problem, it is not feasible to provide a complete solution within the constraints of this text-based interface.

It would be best to consult relevant economic literature or seek expert guidance to fully address and solve the problem.

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(a) Forecast: Linear regression  the next year is approx 191.6007.

(b) MSE: Mean Squared Error is approximately 249.1585.

(c) MAPE: Mean Absolute Percent Error is approximately 10.42%.

(a) (a) Forecast using linear regression:
To forecast the number of disk drives for the next year, we can use linear regression to fit a line to the given data points. The linear regression equation is of the form y = mx + b, where y represents the number of disk drives and x represents the year.

Calculating the slope (m):
m = (Σ(xy) - n(Σx)(Σy)) / (Σ(x^2) - n(Σx)^2)

Σ(xy) = (1)(140) + (2)(160) + (3)(190) + (4)(200) + (5)(210) = 2820
Σ(x) = 1 + 2 + 3 + 4 + 5 = 15
Σ(y) = 140 + 160 + 190 + 200 + 210 = 900
Σ(x^2) = (1^2) + (2^2) + (3^2) + (4^2) + (5^2) = 55

m = (2820 - 5(15)(900)) / (55 - 5(15)^2)
m = (2820 - 6750) / (55 - 1125)
m = -3930 / -1070
m ≈ 3.6729

Calculating the y-intercept (b):
b = (Σy - m(Σx)) / n
b = (900 - 3.6729(15)) / 5
b = (900 - 55.0935) / 5
b ≈ 168.1813

Using the equation y = 3.6729x + 168.1813, where x represents the year, we can predict the number of disk drives for the next year. To do so, we substitute the value of x as the next year in the equation. Let's assume the next year is represented by x = 6:

y = 3.6729(6) + 168.1813
y ≈ 191.6007

Therefore, according to the linear regression model, the predicted number of disk drives for the next year is approximately 191.6007.

(b) Calculation of Mean Squared Error (MSE):

To calculate the Mean Squared Error (MSE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 = 171.8542
Year 2: y = 3.6729(2) + 168.1813 = 175.5271
Year 3: y = 3.6729(3) + 168.1813 = 179.2000
Year 4: y = 3.6729(4) + 168.1813 = 182.8729
Year 5: y = 3.6729(5) + 168.1813 = 186.5458
Next, we calculate the squared difference between the predicted and actual values, and then take the average:

MSE = (Σ(y - ŷ)^2) / n

MSE = ((140 - 171.8542)^2 + (160 - 175.5271)^2 + (190 - 179.2000)^2 + (200 - 182.8729)^2 + (210 - 186.5458)^2) / 5

MSE ≈ 249.1585

The Mean Squared Error (MSE) for the linear regression model is approximately 249.1585.

This value represents the average squared difference between the predicted values and the actual values, providing a measure of the accuracy of the model.

(c) Calculation of Mean Absolute Percent Error (MAPE):

To calculate the Mean Absolute Percent Error (MAPE), we need to compare the predicted values obtained from linear regression with the actual values given in the data.

First, we calculate the predicted values using the linear regression equation: y = 3.6729x + 168.1813, where x represents the year.

Predicted values:

Year 1: y = 3.6729(1) + 168.1813 ≈ 171.8542
Year 2: y = 3.6729(2) + 168.1813 ≈ 175.5271
Year 3: y = 3.6729(3) + 168.1813 ≈ 179.2000
Year 4: y = 3.6729(4) + 168.1813 ≈ 182.8729
Year 5: y = 3.6729(5) + 168.1813 ≈ 186.5458

Next, we calculate the absolute percent error for each year, which is the absolute difference between the predicted and actual values divided by the actual value, multiplied by 100:

Absolute Percent Error (APE):

Year 1: |(140 - 171.8542) / 140| * 100 ≈ 18.467
Year 2: |(160 - 175.5271) / 160| * 100 ≈ 9.704
Year 3: |(190 - 179.2000) / 190| * 100 ≈ 5.684
Year 4: |(200 - 182.8729) / 200| * 100 ≈ 8.563
Year 5: |(210 - 186.5458) / 210| * 100 ≈ 11.682
Finally, we calculate the average of the absolute percent errors:

MAPE = (APE₁ + APE₂ + APE₃ + APE₄ + APE₅) / n

MAPE ≈ (18.467 + 9.704 + 5.684 + 8.563 + 11.682) / 5 ≈ 10.42

The Mean Absolute Percent Error (MAPE) for the linear regression model is approximately 10.42%.

This value represents the average percentage difference between the predicted values and the actual values, providing a measure of the relative accuracy of the model.

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Answer: -11/12

Step-by-step explanation:

Answer:

5y - 2

Step-by-step explanation:

1/3 ( 15y - 6 ) = (15y - 6) / 3 = 5y - 2

Done! Hope you learned how to do this/understood this and have a great day! Please mark me as brainliest, vote 5.0 on my answer and thank me to show some support! Bye!

The type of transformation represented is rotation

Transformation techniques is the process of changing the position of an object on the xy-plane.

The transformation technique that we have include;

From the diagram, you can see that the vertices ABC rotates clockwisely to generate the position A'B'C'. Hence the type of transformation represented is rotation

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Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

brainliest Plsssss

The x-coordinate of the midpoint of line segment AB is 29.5

What is coordinate?

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more integers, or coordinates.

To find the x-coordinate of the midpoint of line segment AB, we can use the midpoint formula:

Midpoint x-coordinate = (x-coordinate of A + x-coordinate of B) / 2

We are given the coordinates of points A and B:

A(13, 5) and B(46, -13)

Using the midpoint formula, we can substitute the x-coordinates of A and B into the formula and simplify:

Midpoint x-coordinate = (13 + 46) / 2

= 29.5

Therefore, the x-coordinate of the midpoint of line segment AB is 29.5

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Answer:

The correct answer is:

It is a continuous random variable (B)

Step-by-step explanation:

Continuous Random Variables are variables that take on a number of possibilities of values that cannot be counted. The values have infinite possibilities. In this example, the height of a Giraffe measured in meters can be an unlimited possibility if values say, 10.5m, 15.22m 12.0m etc. The possibilities are endless.

Discrete Random variables are variables that take on a number of possibility of occurrences that can be counted. For instance, if a dice is rolled, the possibilities can either be a 1, 2, 3, 4, 5 or 6. There are six values that can be gotten, nothing in-between.

I think the answer is B.

Please check to make sure.

Answer:

x=-15/14

Step-by-step explanation:

1/3x+5/6x=-2+3/4

7/6x=-5/4

x=-15/14