The statistical method of determining the link between dependent and outcome variables is called regression analysis. Here option B is the correct answer.
Regression analysis is a statistical method used to estimate the relationship between a dependent variable and one or more independent variables. The dependent variable is the outcome variable of interest, while the independent variable is the variable used to explain the variation in the dependent variable. Regression analysis is widely used in many fields such as economics, finance, psychology, engineering, and social sciences.
In a typical regression analysis, the relationship between the dependent variable and the independent variable(s) is estimated using a regression equation. The regression equation provides a mathematical formula to predict the value of the dependent variable based on the values of the independent variable(s). The regression equation can be used to identify the strength and direction of the relationship between the dependent and independent variable(s).
Regression analysis is useful for many purposes, such as understanding the factors that influence an outcome variable, predicting the value of the outcome variable based on the values of the independent variable(s), and evaluating the effectiveness of an intervention or treatment.
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Complete question:
______ analysis is the statistical process of estimating the relationship between dependent and ______ variables.
a) Time series, outcome
b) Regression, outcome
c) Time series, latent
d) Regression, independent
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
85% of 19 = 16.15
Step-by-step explanation:
213.49 in standard form
Answer:
2.1349 x10^2
Step-by-step explanation:
i used a standard form calculator
17 less than a number X
Answer:
X-7
Step-by-step explanation:
Because I did algebra 1
Answer:
X-17
Step-by-step explanation:Its X-17 because it said 17 less than a number X. So its X-17 and variable comes first.
6.0 percent of a population are infected with a certain disease. there is a test for the disease, however the test is not completely accurate. 90.0 percent of those who have the disease test positive. however 3.1 percent of those who do not have the disease also test positive (false positives). a person is randomly selected and tested for the disease. what is the probability that the person has the disease given that the test result is positive?
Probability of the person has the diseases and the test result is positive = 1/90 = 0.011
What is probability?Probability refers to the possibility of occurring a certain event. It is expressed by the ratio of the number of favorable outcome to the total possible outcome.
How can we calculate probability?Given, percentage of people who have disease and test result positive =90
percentage of people who has not disease but test result positive =3.1
Suppose 6.0 percent of population are infected
Now, probability of a randomly selected person who has diseases and test positive
= 1/90
= 0.011
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Can some on help me pls
Answer:
D. -5v+4
Step-by-step explanation:
combine like terms
When can we say that two triangles are similar?
The two triangles are similar If they have the same shape, but their sizes are different.
Similar triangles are triangles that have the same shape, but their sizes may be same or different. In other words, if two triangles are similar, then their corresponding angles are congruent and corresponding sides are in equal proportion. The similarity of triangles are denoted by ‘~’ symbol
AA (or AAA) or Angle-Angle Similarity
If any two angles of a triangle are equal to any two angles of another triangle, then those two triangles are similar to each other.
SAS or Side-Angle-Side Similarity
If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed between those two sides in both the triangle are equal, then two triangles are said to be similar.
SSS or Side-Side-Side Similarity
If all the three sides of a triangle are in proportion to the three sides of another triangle, then the two triangles are similar.
Therefore, two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
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Ashton just launched a new business page on social media. After one month, she has
35 followers. She decides to take a course that promises to triple her number of
followers each month for 6 months. After 7 months, how many followers will Ashton
have if this is true?
3
Step-by-step explanation:
35 times 3.sub
What is What is m∠DHG?
Answer: 72 degrees
Step-by-step explanation: We know that angle DHG and angle EHF are congruent due to the vertical angles theorem. Since these two angle measures are congruent, this also means that the expression 6(x-2) is congruent to 3x+30. To find the angle measure of DHG, we need to find x. We can set these two expressions equal to each other and solve for x.
6(x-2) = 3x+30
6x-12 = 3x + 30
-3x -3x
3x-12=30
+12 +12
3x=42
~divide by 3 on both sides~
x = 14
Now that we know our x variable, we can substitute 14 into the expression for angle DHG.
6(14-2)
6(12)
72.
Answer:
∠DHG = 72°
Step-by-step explanation:
As ∠DHG and ∠EHF are vertical angles, they are congruent.
What are vertical angles?
Vertical angles are formed when two lines intersect, creating opposite angles. Those opposites are congruent (equal).
Equation:
∠DHG = ∠EHF
[6(x - 2)] = (3x + 30)
Step 1: Distribute 6 through the parentheses.
\(\implies 6(x) + 6(-2) = 3x + 30\)
\(\implies 6x - 12 = 3x + 30\)
Step 2: Subtract 3x from both sides.
\(\implies 6x - 3x - 12 = 30\)
\(\implies 3x - 12 = 30\)
Step 3: Add 12 to both sides.
\(\implies 3x - 12 + 12 = 30 + 12\)
\(\implies 3x = 42\)
Step 4: Divide both sides by 3.
\(\implies \dfrac{3x}{3} = \dfrac{42}{3}\)
\(\implies \boxed{x = 14}\)
Step 5: Substitute the value of x into ∠DHG to find its measure.
\(\implies \angle DHG = 6(14 - 2)\)
\(\implies \angle DHG = 6(12)\)
\(\implies \angle DHG = \boxed{72^\circ}\)
Therefore, the measure of ∠DHG is 72°.
What are the domain and range of f(x) = 2x - 41?
O domain: x < 2; range: (-∞0,00)
O domain: (-∞,00); range: f(x) > 0
O domain: (-∞0,00); range: f(x) < 0
O domain: x ≥ 2; range: (-∞,00)
The domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0. Then the correct option is C.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The function is given below.
f(x) = 2x – 41
Then the domain of the function is a (-∞, 0) and the range of the function will be f(x) < 0.
Then the correct option is C.
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While subject to the force
F(x, y) = y^3i + (x^3 + 3xy^2)j,
a particle travels once around the circle of radius 3. Use Green's Theorem to find the work done by F.
The work done by the force field F is 0.
Given: The force field F(x,y) = y3i + (x3 + 3xy2)j; A particle travels once around the circle of radius 3.
Using Green's Theorem, we need to find the work done by the force field F.
Since we need to calculate the work done on a circular path, we will integrate using polar coordinates. We have r = 3.
Then, dA = r dr dθ
We have∂Q/∂x = 3xy² and ∂P/∂y = 3y²
.∴ ∂Q/∂x - ∂P/∂y = 3xy² - 3y² = 3y (x - y).
By Green's Theorem, we have:
∫∫ (R) (∂Q/∂x - ∂P/∂y) dA = ∫ (C) P(x, y) dx + Q(x, y) dy, where P = y³, Q = (x³+ 3xy²), and C is the positively oriented circle of radius 3.
Substituting polar coordinates for x and y, we have: x = r cosθ, y = r sinθ and dx dy = r dr dθ
∫∫ (R) (∂Q/∂x - ∂P/∂y) dA
= ∫ (C) P(x, y) dx + Q(x, y) dy
= ∫(θ = 0 to 2π) ∫(r = 0 to 3) (3r sinθ) (r dr dθ)
= ∫(θ = 0 to 2π) ∫(r = 0 to 3) 3r2 sinθ dr dθ
= ∫(θ = 0 to 2π) (1/3)(3)3 sinθ dθ
= (3/3)[(-cosθ)2π0]
= (3/3)[(cos0 - cos2π)]
= (3/3)[(1 - 1)]
= (3/3)(0)
= 0
Therefore, the work done by the force field F is 0.
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the radius of a disk is given as with a maximum error of . use differentials to estimate the relative error in the calculated area of the disk. please enter your answer in decimal format with three significant digits after the decimal point.
Using differentials to estimate the relative error in the calculated area of the disk of disk with radius 15 cm is equals to the 3.192%.
We have, a disk with radius of 15 cm.
Maximum error = 0.25
We have to determine the area of the disk. Area is a two dimensional quantity. It is defined as the space occupied by figure or any two dimensional shape. Here, formula for area of disk, A = πr² --(1)
here, r = 15 cm , dr = 0.25
Relative error is defined as the ratio of absolute error in measurement to the oringnal measurement. Differentating the equation (1) with respect to r, dA = d( πr²)
=> dA = 2πr dr
Substitutes the known values, in above formula, dA = 2× π × 15 ×0.25
=> dA = 7.50 × π = 23.55
So, absoulte error in area = 22.55
Original value of area = π(15)² = 706.5 cm²
Now, relative error % = (∆A/A)×100
= (22.55/706.5)×100
= 0.031917 × 100
= 3.1917 ~ 3.192 %
Hence, required value is 3.192%.
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Complete question:
the radius of a disk is given 15 cm as with a maximum error of 0.25 . use differentials to estimate the relative error in the calculated area of the disk. please enter your answer in decimal format with three significant digits after the decimal point.
suppose x is a normal distribution random variable with mean 20 and standard deviation 2.5. find a value of xo such that p(x>xo)
The value of x₀ is approximately equal to 24.113.
The standard normal distribution:The formula for the standard normal distribution is given by
=> z = (x - μ) / σ [ where x is the random variable, μ is the mean, and σ is the standard deviation ]
It also involves using the standard normal distribution table or calculator to find the probability of a value being greater than a given z-score, and solving for the original random variable using the standardized value.
Here we have
Suppose x is a normal distribution random variable with mean 20 and standard deviation 2.5.
We can use the standard normal distribution to solve this problem.
First, we standardize the random variable x by subtracting the mean and dividing by the standard deviation:
=> z = (x - μ) / σ = (x - 20) / 2.5
Now we want to find the value x₀ such that P(x > x₀), which is equivalent to finding the value z such that P(z > (x₀ - 20) / 2.5).
Using a standard normal distribution table or calculator, we can find that the probability of z being greater than 1.645 is approximately 0.05.
So we have:
P(z > 1.645) = P((x - 20) / 2.5 > 1.645)
Simplifying and solving for x₀, we get:
=> (x - 20) / 2.5 > 1.645
=> x - 20 > 4.113
=> x > 24.113
Therefore,
The value of x₀ is approximately equal to 24.113.
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student researchers wanted to see whether a short delay between seeing a list of words and when people were asked to recall them would hinder memorization. the subjects were shown a list of words to memorize for 1 minute and were then given 1 minute to recall as many words as they could. each subject did this once with no delay between memorizing and recall and another time with a 30-second wait between memorizing and recall. they were randomly assigned the order of the two conditions. the number of words memorized under each condition can be found in the statcrunch data set memorizingwords. questions: use the appropriate simulation applet to calculate an approximate p-value. is there strong evidence that a short delay hinders the memorization process? explain.
The appropriate simulation applet to calculate an approximate p-value is 0.0077.
The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.
Delay or no delay, answer: the number of words remembered
The mean distance between words remembered with and without delay over time is null, or zero.
Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.
Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.
The mean distance in words remembered is 1.85.
1)0.0077 as the p-value
2)Strong data suggests that a brief delay impairs memorization.
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Which line plot displays a data set with an outlier? pick 1, 2, 3, or 4. I NEED THE ANSWER ASAP! First Answer will get brainliest!
Answer:
4
Step-by-step explanation:
4th one is the answer because 5 is an outlier in the set of data
Answer:
Option 4
Step-by-step explanation:
An outlier is piece of data in a data set which has a recorded frequency dissimilar to the other pieces of dataIn Option 4, 5 is clearly an outlier where the other pieces of data are concentrated within the 11-16 rangeWhat are the absolute Maximum and Minimum of f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2?
The absolute Maximum of f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2 is 7 and the absolute Minimum of f(t) = 7 cos t, −3π/2 ≤ t ≤ 3π/2 is -7.
The function f(t) = 7 cos(t) has a period of 2π, which means that it repeats itself every 2π units. In the given interval, the function takes its maximum and minimum values at the endpoints of the interval and at the critical points where the derivative of the function is zero.
The critical points of f(t) in the interval −3π/2 ≤ t ≤ 3π/2 are t = −π/2, π/2, and 3π/2, where the derivative of the function f(t) is zero:
f'(t) = -7 sin(t) = 0
This occurs when sin(t) = 0, which implies that t = −π/2, π/2, and 3π/2.
Therefore, the absolute maximum and minimum of f(t) occur at the endpoints of the interval and the critical points, and are as follows:
Absolute maximum: f(π/2) = 7
Absolute minimum: f(−3π/2) = -7
So, the absolute maximum value of f(t) is 7, which occurs at t = π/2, and the absolute minimum value of f(t) is -7, which occurs at t = −3π/2.
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for the simple harmonic motion equation d=2 sin(pi/3t) what is the period
For the simple harmonic motion equation d=2 sin(pi/3t), the period is 6 seconds.
The period of a simple harmonic motion is the time taken for one complete cycle of the motion. In this equation, d represents the displacement or position of the object at time t. The equation is in the form of sin function with the argument (pi/3)t. The general form of the equation for simple harmonic motion is d=A sin(ωt+φ), where A is the amplitude, ω is the angular frequency, and φ is the phase angle. To determine the period of this motion, we can use the formula T=2π/ω, where T is the period and ω is the angular frequency. In this case, ω=pi/3, so the period is T=2π/(pi/3)=6 seconds (rounded to the nearest second). Therefore, the object completes one full cycle of motion every 6 seconds.
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A group of 25 students is asked which of football or rugby they play regularly.
• 10 say they play both.
15 say they play rugby.
4 say they do not play either of the sports.
.
ՖՐ
ח
R
a) Complete the Venn diagram.
The universal set, &, contains all of the
25 students.
[3]
b) One of these students is chosen at random.
What is the probability that this person plays football?
Answer:
a) see explanation
b) 40%
Explanation:
a) sorry, i can't specifically help with this one unless you attach a picture of the venn diagram. but the way venn diagrams work is that you draw several circles, each representing a trait (i.e. plays rugby). circles will overlap if someone has more than one trait (i.e. plays both sports).
b) the probability is 10 ÷ 25 × 100% = 40%.
i hope this helps! :D
a round pizza was cut into 9 sectors whose central angles are in the ratio of 1:2:3:4:5:6:7:8:9. what is the central angle of the largest piece?
The sum of the central angles is 360 degrees. If the ratios are 1:2:3:4:5:6:7:8:9, the sum of the ratios is 45. The central angle of the largest piece is 360 degrees / 45 = 8 degrees.
A round pizza cut into 9 sectors has its central angles in the ratio of 1:2:3:4:5:6:7:8:9. This means that the central angle of each sector is proportional to the ratio assigned to it. The sum of the central angles of all the sectors is 360 degrees, which represents a complete circle. The sum of the ratios is 45, which indicates that the central angle of each sector can be calculated by dividing 360 by 45. The central angle of the largest sector, which has a ratio of 9, is 360 divided by 45, which equals 8 degrees. In conclusion, the central angle of the largest sector of the pizza is 8 degrees.
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Find the circumference of the circle. You must show all work to get full credit. Don't forget to label your answer. Round to the nearest hundredth.
Answer:
The circumference is 26.38 yards
Step-by-step explanation:
The formula for finding the circumference of a circle is 2π(r). 2 times pi times the radius. We see that the radius is 4.2 yards, so we plug 4.2 into the variable labeled "r"
2 (3.14) (4.2) = 26.376
26.376 rounded to the hundredths place is 26.38
Hola there !
Answer is in attachment ; let me know if you have any doubts
Problem: The populations of bears in a forest is 80 and increases by 6 each year. These bears eat fish from a nearby river. The fish population is 10,000 and decreases by half each year
The expected bear population after 10 years, assuming no other factors affect the populations of bears and fish, is 140.
The populations of bears in a forest is 80 and increases by 6 each year. These bears eat fish from a nearby river. The fish population is 10,000 and decreases by half each year.
The bear population grows by 6 each year. Hence, after n years, the bear population can be found using the formula,
Pn = P0 + r × n where P0 is the initial population, r is the rate of growth, and n is the number of years.
After 10 years, the bear population can be found using the formula:
Pn = P0 + r × n
= 80 + 6 × 10
= 80 + 60
= 140
The fish population decreases by half each year. Hence, after n years, the fish population can be found using the formula,
Pn = P0 / 2n where P0 is the initial population, and n is the number of years.
After 10 years, the fish population can be found using the formula:
Pn = P0 / 2n
= 10000 / 210
= 10000 / 1024
≈ 9.77
The expected bear population after 10 years, assuming no other factors affect the populations of bears and fish, is 140.
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HELP ASAP DU TODAY...... WILL GIVE BRAINILIS.
Short Answer
Note: Your teacher will grade your responses to questions 6–7 to ensure that you receive proper credit for your answers.
1. Explain why (4, 1) is not a solution to the equation y = 3x +
2. Pizza costs $1.50 per slice. Use a table and an equation to represent the relationship between the number of slices of pizza bought and the total cost.
Answer: y = 3x+1
Step-by-step explanation: If (4,1) is a solution of y = 3x+1, that means if we plugin the respective values of (4,1), we should have an EQUALITY:
1 = 3(4) + 1
1 = 13 , which is wrong, then the point (4,1) is NOT a solution of y = 3x+1.
calculate the double integral. 8x 1 + xy da, r = [0, 8] × [0, 1] r
The result of the double integral is given as follows:
\(\int \int_R 8x(1 + xy) dA = 937\)
How to solve the double integral?The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.
Considering the regions of x and y, the complete integral in this problem is defined as follows:
\(\int_{0}^{8} \int_{0}^1 8x(1 + xy) dydx\)
Then the inner integral is given as follows:
\(I = \int_{0}^1 8x(1 + xy) dy\)
As the integral is relative to y, the variable x is treated as a constant, hence:
\(I = 8xy + 4x^2y^2|_{y = 0}^{y = 1}\)
Applying the Fundamental Theorem of Calculus, the result of the inner integral is given as follows:
I = 8x(1) + 4x²(1)² - 8x(0) - 4x²(0)²
I = 8x + 4x².
Then the outer integral, which is solved to obtain the result of the complete integral, is solved as follows:
\(O = \int_{0}^{8} 8x + 4x^2 dx\)
Then:
O = 4x² + 1.33x³, from x = 0 to x = 8.
At x = 0, it has a result of 0, hence the result is given as follows:
O = 4(8)² + 1.33(8)³ = 937.
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No files just type it in please and thank you
Answer:
The answer is A - 5×9 I think so..
The first two terms of an arithmetic sequence are shown below. 1 2 x+2' x+3' ck to task your mistake. Find the third term of this sequence. Give your answer fully factorised. Watch video Answer > The first two terms of an arithmetic sequence are shown below . 1 2 x + 2 ' x + 3 ' ck to task your mistake . Find the third term of this sequence . Give your answer fully factorised . Watch video Answer >
Answer:
in picture
Step-by-step explanation:
added in the picture
What are the major differences among the three methods for the evaluation of the accuracy of a classifier: (a) hold-out method, (b) cross-validation, and (c) bootstrap?
The three methods for the evaluation of the accuracy of a classifier are Hold-out method, Cross-validation, and Bootstrap. The major differences among the three methods are explained below:a) Hold-out method:This method divides the original dataset into two parts, a training set and a test set.
The training set is used to train the model, and the test set is used to evaluate the model's accuracy. The advantage of the hold-out method is that it is simple and easy to implement. The disadvantage is that it may have a high variance, meaning that the accuracy may vary depending on the particular training/test split.b) Cross-validation:This method involves dividing the original dataset into k equally sized parts, or folds. This process is repeated k times, with each fold used exactly once as the test set.
The advantage of cross-validation is that it provides a more accurate estimate of the model's accuracy than the hold-out method, as it uses all of the data for training and testing. The disadvantage is that it may be computationally expensive for large datasets, as it requires training and testing the model k times.c) Bootstrap:This method involves randomly sampling the original dataset with replacement to generate multiple datasets of the same size as the original. A model is trained on each of these datasets and tested on the remaining data.
In conclusion, the hold-out method is the simplest and easiest to implement, but may have a high variance. Cross-validation and bootstrap are more accurate methods, but may be computationally expensive for large datasets.
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Joe's Gym charges $20 per month with a $60 membership fee. Kim’s gym
charges an initial fee of $45 and $25 per month. Which a cheaper for 1
year?
How much cheaper?
Answer: Kim's gym
Step-by-step explanation:
$60 + $20 = $80$45 + $25 = $70I need help solving this
The end behavior of the function is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the correct statement is the second one.
How is the end behavior of the graphed function?
For a function f(x), the end behavior is how f(x) behaves when:
x ⇒ ∞x ⇒ -∞If you look at the graph, you can see that in both ends (left and right) the function ends going upwards. This means that in both limits, the function will tend to positive infinity.
Then the end behavior is:
as x ⇒ ∞, f(x) ⇒ ∞as x ⇒ -∞, f(x) ⇒ ∞So the true statement is the second one.
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A group of researchers is studying the relationship between cortisol (stress hormone) levels and memory, and they want to see if a sample of 25 adults that has been recruited is a good representation of the population it came from, before they conduct additional research. The population has been found to have an average cortisol level of 12 mcg/dL, with a standard deviation of 2 mcg/dL. The sample was found to have an average cortisol level of 15 mcg/DL, with a standard deviation of 3 mcg/dL. For this assignment, construct a confidence interval to determine if this sample mean is significantly different from the population mean. Explain how you know, based on the confidence interval, and specific the confidence level you used. Be sure to show your work and calculations. This can be tricky with Word, so if necessary you may take a photo of your hand calculations and add it to the Word document
The sample mean is significantly different from the population mean. The confidence level used was 95%.
To build a confidence interval to decide whether this example mean is fundamentally not the same as the populace mean, there are a few stages that should be taken.
To begin with, work out the standard error of the mean (SEM) for the example, which is the standard deviation separated by the square base of the example size (SEM = σ/√n). For this situation, the SEM is 3/5 = 0.6 mcg/dL.
Then, compute the critical value for the confidence interval picked by increasing the SEM by the t-esteem from the t-dissemination for the given confidence interval. For instance, in the event that a 95% confidence interval is picked, the t-esteem is 1.96. This provides us with a basic worth of 0.6 x 1.96 = 1.176 mcg/dL.
At last, build the certainty span utilizing the example mean and the basic worth. The certainty span is (15 - 1.176, 15 + 1.176), or (13.824, 16.176). This implies that we are 95% sure that the genuine populace mean exists in this reach.
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help me please i’m struggling :)
Answer:
It's the fourth option.
Step-by-step explanation:
a function needs to be one-to-one (only one output for each input), but D has one input (x=2) with two outputs (y = 2,4). So option D (the bottom option) is not an option.
Please correct me if I'm wrong!
Answer:
Step-by-step explanation:
the answer is B
Each ordered pair is not a function due to a relationship between one variable (the independent variable) and another variable (the dependent variable).
Hope this helped
Line l contains points (2,4) and (5,1). Point P has coordinates (1,1). Find the distance from P to l.
The least distance from point P to line l is approximately equal to 3.536 units.
How to find the least distance between a line and a point outside the line
There are several ways to calculate the least distance, in this case we decided to use the approach based on vectors and projections. First, we generate two auxiliary vectors:
Vector parallel to the line l
\(\overrightarrow {AB} = (5, 1) - (2, 4)\)
\(\overrightarrow{AB} = (3, - 3)\)
A vector from one point on the line l to the point P
\(\overrightarrow{AP} = (1, 1) - (2, 4)\)
\(\overrightarrow {AP} = (- 1, - 3)\)
Now we proceed to find the vector distance by using the following vectorial formula:
\(\vec d = \frac{\overrightarrow{AP} \,\bullet\, \overrightarrow {AB}}{\overrightarrow {AB} \,\bullet \,\overrightarrow {AB}} \cdot \overrightarrow{AB} - \overrightarrow {AP}\)
\(\vec d = \frac{(-1)\cdot (3) + (- 3) \cdot (- 3)}{3^{2}+ (-3)^{2}} \cdot (3, - 3) - (-1, - 3)\)
\(\vec d = - \frac{1}{6}\cdot (3, - 3) - (- 1, - 3)\)
\(\vec d = \left(-\frac{1}{2}, \frac{1}{2} \right) + (1, 3)\)
\(\vec d = \left(\frac{1}{2}, \frac{7}{2} \right)\)
The magnitude of the vector distance is determined by Pythagorean theorem:
\(d = \sqrt{\left(\frac{1}{2} \right)^{2}+\left(\frac{7}{2} \right)^{2}}\)
d ≈ 3.536
The least distance from point P to line l is approximately equal to 3.536 units.
To learn more on least distances: https://brainly.com/question/1263662
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