Answer:
130
Step-by-step explanation:
Advertisers contract with Internet service providers and search engines to place ads on websites. They pay a fee based on the number of potential customers who click on their ad. Unfortunately click fraud, the practice of someone clicking on an ad solely for the purpose of driving up advertising revenue, has become a problem. Forty percent of advertisers claim they have been a victim of click fraud. Suppose a random sample of 380 advertisers will be taken to learn more about how they are affected. What is the probability that the sample proportion will be with 0.04 of the population proportion?
Answer:
The probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.
Step-by-step explanation:
Let p = proportion of advertisers who claim they have been a victim of click fraud.
The population proportion is, p = 0.40.
A random sample of 380 advertisers is selected.
According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.
The mean of this sampling distribution of sample proportion is:
\(\mu_{\hat p}=p\)
The standard deviation of this sampling distribution of sample proportion is:
\(\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}\)
The sample selected is too large, i.e. n = 380 > 30.
Then the proportion of advertisers who claim they have been a victim of click fraud can be approximated by the normal distribution.
The mean and standard deviation of this sampling distribution of sample proportion is:
\(\mu_{\hat p}=p=0.40\\\\\sigma_{\hat p}=\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.40(1-0.40)}{380}}=0.025\)
Compute the probability that the sample proportion will be with 0.04 of the population proportion as follows:
\(P(p-0.04<\hat p<p+0.04)=P(\frac{-0.04}{0.025}<\frac{\hat p-\mu_{\hat p}}{\sigma_{\hat p}}<\frac{0.04}{0.025})\)
\(=P(-1.60<Z<1.60)\\=P(Z<1.60)-P(Z<-1.60)\\=0.94520-0.05480\\=0.8904\)
Thus, the probability that the sample proportion will be with 0.04 of the population proportion is 0.8904.
HELP AGAIN PLEASE ITS DUE SOON
What is coordinate L?
Answer:
(5,2)
Step-by-step explanation:
The x is 5, and y is 2.
Answer:
L: (5,2)
Step-by-step explanation:
Subtract this problem using mixed numbers. Reduce your answer to the lowest term.
16 3/4 - 8 5/12
Answer: 8 1/3
Step-by-step explanation: Convert 3/4 to 9/12 then subtract, and simplify.
Answer:
8 and 1/3
Step-by-step explanation:
First, let's subtract the whole numbers:
16 - 8 = 8
Then, find the lowest common multiple of the two denominators, 4 and 12. In this case, 12 is the lowest common multiple. To turn 4ths into 12ths:
4 x 3 is 12, and 3 x 3 is 9
Now, subtract the two fractions:
9/12 - 5/12 = 4/12 = 1/3
That gives us a final answer of 8 and 1/3. Hope this helped!
However, languages do change, and we will continue to
communicate in different ways, whether we share our ideas
using letters, characters, symbols, or even emojis!
However, languages do change, and we will continue to communicate in different ways, whether we share our ideas using letters, characters, symbols, or even emojis! That's true.!
How to explain the informationLanguage is a living thing, and it changes all the time. New words are invented, old words fall out of use, and the way we use language changes as well. This is a natural process that has been happening for centuries.
The way we communicate is also constantly evolving. In the past, people communicated mostly through spoken language and written letters. Today, we have a wide range of communication tools at our disposal, including email, text messaging, social media, and video conferencing. These new tools have made it easier than ever to connect with people all over the world.
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However, languages do change, and we will continue to communicate in different ways, whether we share our ideas using letters, characters, symbols, or even emojis! True or false.
Complete the following proof.Prove: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Answer
\(\begin{equation*} Slope\text{ of AD }=\frac{2k}{2j-b} \end{equation*}\)\(Slope\text{ of BC}=\frac{2k}{2j-b}\)AD || BC
Slope of AB = 0
Slope of DC = 0
AB || DC
Step-by-step explanation
The slope, m, of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Line AD passes through A(0, 0) and D(2j-b, 2k), then its slope is:
\(\begin{gathered} Slope\text{ of AD }=\frac{2k-0}{2j-b-0} \\ Slope\text{ of AD }=\frac{2k}{2j-b} \end{gathered}\)Line BC passes through B(b, 0) and C(2j, 2k), then its slope is:
\(\begin{gathered} Slope\text{ of BC }=\frac{2k-0}{2j-b} \\ Slope\text{ of BC}=\frac{2k}{2j-b} \end{gathered}\)Given that sides AD and BC have the same slope, then they are parallel, that is,
\(\bar{AD}||\bar{BC}\)Line AB passes through A(0, 0) and B(b, 0), then its slope is:
\(\begin{gathered} slope\text{ of AB }=\frac{0-0}{b-0} \\ slope\text{ of AB }=\frac{0}{b} \\ slope\text{ of AB}=0 \end{gathered}\)Line DC passes through D(2j-b, 2k) and C(2j, 2k), then its slope is:
\(\begin{gathered} slope\text{ of DC }=\frac{2k-2k}{2j-(2j-b)} \\ slope\text{ of DC }=\frac{0}{b} \\ slope\text{ of DC }=0 \end{gathered}\)Given that sides AB and DC have the same slope, then they are parallel, that is,
\(\bar{AB}||\bar{DC}\)anyone know this one?? help please please ASAP ♡
Answer:
y=1/2x+3.5
Step-by-step explanation:
look at any part of your slope where it crosses through a point: now go up your slope until you find the next point that the slope intersects. from your first point A, go up, then over until you reach point B. you just found your fraction for m. congrats
Question 3 Evaluate (i) ∬_(2 1)^(3 5)▒(x+2y)dydx (ii) ∬_(1 0)^(2
y)▒(x√(y^2 )-x^2 )dydx
I. the value of the double integral is 21.
II. the value of the double integral is (5/18)√5 - (11/36).
For (i), we can evaluate the double integral using the formula:
∬_R f(x,y) dA = ∫_(x=a)^(x=b) ∫_(y=c(x))^(y=d(x)) f(x,y) dy dx
where R is the region of integration, a and b are the limits of integration for x, and c(x) and d(x) are the corresponding limits of integration for y.
In this case, we have:
∬_(2 1)^(3 5) (x+2y) dy dx
Using the formula above, we can integrate with respect to y first, from y = 1 to y = 5, and then with respect to x, from x = 2 to x = 3:
∬_(2 1)^(3 5) (x+2y) dy dx = ∫_(x=2)^(x=3) ∫_(y=1)^(y=5) (x+2y) dy dx
= ∫_(x=2)^(x=3) [xy + y^2]_1^5 dx
= ∫_(x=2)^(x=3) (4x + 24) dx
= [2x^2 + 24x]_2^3
= 21
Therefore, the value of the double integral is 21.
For (ii), we have:
∬_(1 0)^(2 y) (x√(y^2 )-x^2 ) dy dx
Using the same formula as before, we can integrate with respect to y first, from y = 0 to y = x/2, and then with respect to x, from x = 1 to x = 2:
∬_(1 0)^(2 y) (x√(y^2 )-x^2 ) dy dx = ∫_(x=1)^(x=2) ∫_(y=0)^(y=x/2) (x√(y^2 )-x^2 ) dy dx
= ∫_(x=1)^(x=2) [(1/2)x^2√(x^2/4) - (1/3)x^3]_0^(x/2) dx
= ∫_(x=1)^(x=2) (1/24)x^3√(x^2) - (1/3)x^3 dx
= [-(1/36)x^4 + (1/12)x^2√(x^2)]_1^2
= (5/18)√5 - (11/36)
Therefore, the value of the double integral is (5/18)√5 - (11/36).
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Of the 50 states, 23 have a coast that touches the ocean. What is the ratio of states that touch the ocean to states that do NOT touch the ocean?
Answer:
23 to 27
Step-by-step explanation:
_______________________________________
A pancake recipe requires 1 tablespoon of baking powder per 2 cups of flour. If 2 cups of flour make 4 pancakes, how many tablespoons of baking powder are needed to make 12 pancakes? A. 3 B. 6 C. 1 D. 9
To make 12 pancakes, we would need 3 tablespoons of baking powder.
So the answer is A. 3.
What is ratio?A comparison of two or more values or quantities that are related to one another is known as a ratio in mathematics.
It shows the relative size or proportion of the values being compared and is expressed as the quotient of one quantity divided by the other.
A colon (:) or a fraction can be used to represent ratios between values.
If 2 cups of flour make 4 pancakes, then we can assume that 6 cups of flour would make 12 pancakes.
To determine the amount of baking powder required, we can use the ratio of 1 tablespoon of baking powder per 2 cups of flour.
If 2 cups of flour require 1 tablespoon of baking powder, then 6 cups of flour would require:
(6 cups flour) x (1 tablespoon baking powder / 2 cups flour) = 3 tablespoons of baking powder
Therefore, we would require three tablespoons of baking powder to make twelve pancakes.
Therefore, A is the answer.
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Graph the solution to the inequality in the number line:
|u-5|_<2
The solution to the inequality |u - 5| ≤ 2 can be graphed on the number line as the interval [3, 7].
In the number line graph, we mark the points 3 and 7 and shade the region between them, including the endpoints. This represents all the values of u that satisfy the inequality
The absolute value of u - 5 represents the distance between u and 5 on the number line. The inequality states that this distance must be less than or equal to 2. In other words, u can be any value that falls within a distance of 2 units from 5 in either direction.
The point 5 itself is included in the solution because the absolute value of 5 - 5 is equal to 0, which is less than 2. The points 3 and 7 are the endpoints of the interval because they are the values that are exactly 2 units away from 5.
Therefore, the solution to the inequality |u - 5| ≤ 2 can be represented by the interval [3, 7] on the number line.
By graphing the solution on the number line, we visually represent the values of u that satisfy the inequality. The interval [3, 7] includes all the values of u that are within a distance of 2 units from 5. This includes the point 5 itself, as well as the points 3 and 7 which are exactly 2 units away from 5. The shaded region between 3 and 7 indicates the set of values that fulfill the inequality, while the endpoints are included in the solution.
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Which of the following functions matches this graph?
Answer:
a. y=x^2
Step-by-step explanation:
desmos graphing calculator
You are considering purchasing a consol that promises annual payments of $4. a. If the current interest rate is 3 percent, what is the price of the consol? Instructions: Round your answer to the nearest penny (2 decimal places). The price of the consol is $ b. You are concerned that the interest rate may rise to 4 percent. Compute the percentage change in the price of the consol and the percentage change in the interest rate. Compare them. Instructions: Round your answer for dollar amounts to the nearest penny (2 decimal places ) and answers for percentages to the nearest tenth (1 decimal place) The new price of the consol would be $ The price of the consol falls by 7% and the interest rises by 7% c. Your investment horizon is one year. You purchase the consol when the interest rate is 5 percent and sell it a year later, following a rise in the interest rate to 6 percent. What is your holding period return? Instructions: Round your answer to the nearest tenth (1 decimal place) Your holding period return is %
a. The price of the consol is approximately $133.33.
b. The new price of the consol would be $100. The price of the consol falls by 24.99% and the interest rate rises by 1%.
c. Your holding period return is approximately -49.99%.
a. The price of the consol can be calculated using the formula for the present value of a perpetuity:
Price = Annual Payment / Interest Rate
In this case, the annual payment is $4 and the interest rate is 3%. Substituting these values into the formula:
Price = $4 / 0.03 ≈ $133.33
Therefore, the price of the consol is approximately $133.33.
b. To calculate the new price of the consol if the interest rate rises to 4%, we use the same formula:
New Price = Annual Payment / New Interest Rate
Substituting the values, we get:
New Price = $4 / 0.04 = $100
The percentage change in the price of the consol can be calculated using the formula:
Percentage Change = (New Price - Old Price) / Old Price * 100
Substituting the values, we have:
Percentage Change in Price = ($100 - $133.33) / $133.33 * 100 ≈ -24.99%
The percentage change in the interest rate is simply the difference between the old and new interest rates:
Percentage Change in Interest Rate = (4% - 3%) = 1%
Comparing the two percentages, we can see that the price of the consol falls by approximately 24.99%, while the interest rate rises by 1%.
c. The holding period return can be calculated using the formula:
Holding Period Return = (Ending Value - Initial Value) / Initial Value * 100
The initial value is the purchase price of the consol, which is $133.33, and the ending value is the price of the consol after one year with an interest rate of 6%. Using the formula for the present value of a perpetuity, we can calculate the ending value:
Ending Value = Annual Payment / Interest Rate = $4 / 0.06 = $66.67
Substituting the values into the holding period return formula:
Holding Period Return = ($66.67 - $133.33) / $133.33 * 100 ≈ -49.99%
Therefore, the holding period return is approximately -49.99%.
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HELP ASAP !!!!
Write and graph linear equations
Answer:
first graph the y-intercept start at 0 and go up 2 plot that. Then, go up 7 from 2 and to the right 1
Step-by-step explanation:
Given complex numbers z^1= 12 + 6i and 2=-8+ 2i, find z^1+ z^2.
a.20 +4i
b.-4+4i
c. 10 - 2i
d. 4+8i
Answer:
answer is a 20+4i
Step-by-step explanation:
a random sample of eight observations from the first population resulted in a standard deviation of 10. a random sample of six observations from the second population resulted in a standard deviation of 7. required: 1. state the decision rule for 0.02 significance level.
In hypothesis testing, a decision rule specifies the criteria for rejecting the null hypothesis.
The decision rule for a 0.02 significance level can be determined as follows: In hypothesis testing, the significance level is the probability of rejecting the null hypothesis when it is true. It is typically denoted by alpha (α) and is usually set at 0.05 or 0.01. However, the significance level can be adjusted to suit the situation's needs. The decision rule for a 0.02 significance level is more stringent than that of a 0.05 significance level. In other words, it is more difficult to reject the null hypothesis at a 0.02 significance level than at a 0.05 significance level. In this case, the standard deviations of two populations are given, and we must construct a decision rule for a 0.02 significance level. Since we have two populations, we'll be using a two-tailed test. A two-tailed test is used when the null hypothesis is rejected if the sample mean is either significantly smaller or significantly larger than the population mean. Therefore, the decision rule for a 0.02 significance level is as follows:If the calculated t-statistic is greater than the critical t-value, reject the null hypothesis. If the calculated t-statistic is less than the critical t-value, do not reject the null hypothesis. The degrees of freedom used in the calculation of the critical value will be determined by the sample sizes of both populations and the degrees of freedom for each.
The decision rule for a 0.02 significance level is as follows: If the calculated t-statistic is greater than the critical t-value, reject the null hypothesis. If the calculated t-statistic is less than the critical t-value, do not reject the null hypothesis.
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Whats : 1/2x+1/2x=x+1
Answer:
There's no solution...
What is the product of (4+3 i)(4-3 i) ?
In this question, we want to find product that is, the product of complex numbers is (4 + 3i)(4 - 3i) is 25 + 12i.
To find the product of (4 + 3i)(4 - 3i), we can use the formula for multiplying complex numbers:
(a + bi)(c + di) = (ac - bd) + (ad + bc)i,
where a, b, c, and d are real numbers.
In this case, a = 4, b = 3, c = 4, and d = -3.
Substituting these values into the formula, we have:
(4 + 3i)(4 - 3i) = (4 * 4) - (3 * -3) + (4 * -3) + (3 * 4)i
= 16 + 9 - 12 + 12i
= 25 + 12i.
Therefore, the product of (4 + 3i)(4 - 3i) is 25 + 12i.
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Sean is three fourths his dad's height and one-half foot shorter than his mom. If Sean's dad is 6 feet 4 inches tall, how tall are Sean and his mom
If Sean's dad is 6 feet 4 inches tall. Then the height of Sean and his mom will be 4 feet and 9 inches and 5 feet and 3 inches.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Sean is three-fourths his dad's height and one-half foot shorter than his mom.
If Sean's dad is 6 feet 4 inches tall.
Then the height of Sean and his mom will be
Let x be the height of Sean and y be the height of his mother.
Then we have
x = (3/4)(6.33)
x = 4.75
x = 4 feet and 9 inches
Then we have
x = y - 1/2
4.75 = y - 0.5
y = 4.75 + 0.5
y = 5.25
y = 5 feet and 3 inches
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1)
Given that r = 2 in and x = 3 in, determine the surface area of the cylinder. Round to the nearest tenth of an inch.
A)
25.1 in 2
B)
62.8 in2
C)
75.4 in2
D)
113.1 in 2
Answer:
B) 62.8 in^2
Step-by-step explanation:
Thanks alot, and Is that right?
Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)
Answer:
Step-by-step explanation:
What you’ll do is subtract -3 and -2 and then subtract 5 and -6
A high school gym class was jumping rope. They wanted to know how many jumps each student could make before they missed. The results are listed below.25679111214141517192122232427323539394447536061828588909396101103114125
As per the given data, the median number of jumps that the student made before missing is 33.5.
The term Median in math is defined as the middle value or the average of the two center values of a data set.
Here we have given that the high school gym class was jumping rope. They wanted to know how many jumps each student could make before they missed.
Here the results are listed as follows:
=> 2, 5, 6, 7, 9, 11, 12, 14, 14, 15, 17, 19, 21, 22, 23, 24, 27, 32, 35, 39, 39, 44, 47, 53, 60, 61, 82, 85, 88, 90, 93, 96, 101, 103, 114, 125
Here we need to find the center values that is written as,
=> 32, 35
Now, we have to find the average of the two center values is written as,
=> (32+35)/2 = 33.5
Then the median number of jumps is 33.5.
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9. The law of large numbers People with high levels of stress have more episodes of respiratory illness, and their illnesses last longer. The following are the number of days when 10 high-stress research participants exhibited respiratory illness symptoms. 23 27 29 35 38 42 15 17 23 36 The mean of this population of numbers is u = 28.5, and the standard deviation is o = 8.65. Suppose you take a sample of four of these 10 high-stress research participants. The following are the number of days the four participants exhibited symptoms. 29 35 38 42 The mean of this sample of numbers is M = 36, and the standard deviation is s = 5.48. Suppose you take a sample of eight of these 10 high-stress research participants. The following are the number of days that the eight participants exhibited symptoms. 23 27 29 35 38 42 15 23 The mean of this sample of numbers is M = 36 and the standard deviation is s = 5.48. Suppose you take a sample of eight of these 10 high-stress research participants. The following are the number of days that the eight participants exhibited symptoms. 23 27 29 35 38 42 15 23 The mean of this sample of numbers is M = 29 and the standard deviation is s = 8.93. Calculate the standard error of the mean for the sample of four: 0M = Calculate the standard error of the mean for the sample of eight: 0M = The sample of is a better estimate of the population.
The standard error of the mean for the sample of eight is approximately 3.16.
To calculate the standard error of the mean (SEM), we can use the formula:
SEM = standard deviation / square root of sample size
For the sample of four:
Standard deviation (s) = 5.48
Sample size (n) = 4
SEM = 5.48 / sqrt(4) = 5.48 / 2 = 2.74
Therefore, the standard error of the mean for the sample of four is 2.74.
For the sample of eight:
Standard deviation (s) = 8.93
Sample size (n) = 8
SEM = 8.93 / sqrt(8) ≈ 3.16
Therefore, the standard error of the mean for the sample of eight is approximately 3.16.
Comparing the two samples, the sample of four has a smaller standard error of the mean (2.74) compared to the sample of eight (approximately 3.16). A smaller standard error indicates a more precise estimate of the population mean. Therefore, the sample of four is a better estimate of the population mean compared to the sample of eight.
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function contains the ordered pairs (0, 3), (6, 1), and (9, 0). Which statement explains whether or not the function is linear?
A.The function is linear because it has both x- and y-intercepts.
B.The function is linear because it has a constant rate of change.
C.The function is not linear because the difference in the x-coordinates is not constant.
D.The function is not linear because the y-coordinate is not a constant multiple of the x-coordinate.
please make it into a net with the numbers labled
The surface area of the prism is 740ft²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;
SA = 2B + ph
where h is the height and B is the base area , P is the perimeter of the base.
Base area = 1/2 bh
= 1/2 × 15 × 8
= 15× 4
= 60 ft²
Perimeter of the base = 8+15 +17
= 30 ft
height = 20ft
Surface area = 2 × 70 + 30 × 20
= 140 + 600
= 740 ft²
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is (x+1) a factor of polynomial x^3+2x^2-19x-20
Answer:
Step-by-step explanation:
3
A 3 ft tree casts a 10 ft. shadow. How many feet long is the shadow of a 26 ft tall tree at the same time? If necessary, round to the nearest tenth.
Answer:
8 feet
Step-by-step explanation:
It is given that, a 3 ft tree casts a 10 ft. shadow. It means that 1 ft long shadow will cast by \(\dfrac{3}{10}\) feet long tree.
Let 26 ft tall tree will cast x feet long shadow. To find it using unitary method we get :
\(x=\dfrac{3}{10}\times 26\\\\x=7.8\ \text{feet}\)
or
x = 8 feet
So, 8 feet long is the shadow of a 26 feet tall tree.
1/(1+x^(a-b)) + 1/1+x^(b-a))
\(\cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{1}{1+x^{b-a}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{b-a}}\implies \cfrac{1}{1+x^{-(a-b)}} \implies \cfrac{1}{1+\frac{1}{x^{a-b}}}\implies \cfrac{1}{\frac{1+x^{a-b}}{x^{a-b}}}\implies \cfrac{x^{a-b}}{1+x^{a-b}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{1+x^{a-b}}~~ + ~~\cfrac{x^{a-b}}{1+x^{a-b}}\implies \cfrac{1+x^{a-b}}{1+x^{a-b}}\implies \text{\LARGE 1}\)
consider the following quiz game. there are 2 questions. question 1 can be answered with probability 0.8 with reward $100 and question 2 can be answered with probability 0.5 with reward $200. if your first attempt in answering the question of your choice fails, the game is terminated. which question you should choose first to maximize your expected reward?
Question 1 should be chosen first to maximize your expected reward.
To maximize the expected reward, we need to calculate the expected reward for each question, taking into account the probability of getting the answer right and the reward for a correct answer.
For Question 1, the expected reward is 0.8 * $100 = $80, since you have an 80% chance of getting the answer right and earning a reward of $100.
For Question 2, the expected reward is 0.5 * $200 = $100, since you have a 50% chance of getting the answer right and earning a reward of $200.
Since the expected reward for Question 1 is higher than the expected reward for Question 2, you should choose Question 1 first to maximize your expected reward.
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On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 15, negative 5) and point K is at (25, 15). What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)
Answer:
\((x,y) = (-7,-1)\)
Step-by-step explanation:
Given
\((x_1,y_1) = (-15,-5)\)
\((x_2,y_2) = (25,15)\)
\(m:n = 1:4\)
Required
Determine the coordinate of the partition
This is calculated as:
\((x,y) = (\frac{nx_1+ mx_2}{m+n},\frac{ny_1+ my_2}{m+n})\)
Substitute values for x's and y's
\((x,y) = (\frac{4*-15+ 1*25}{1+4},\frac{4*-5+ 1*15}{1+4})\)
\((x,y) = (\frac{-60+ 25}{5},\frac{-20+ 15}{5})\)
\((x,y) = (\frac{-35}{5},\frac{-5}{5})\)
\((x,y) = (-7,-1)\)
Answer:
b
Step-by-step explanation:
i think that's right