Which best describes the relationship between the line that passes through (5, -7) and (1, -4) and the line that passes through (-4, -8) and (-7, -12)? O parallel O same line O neither perpendicular nor parallel O perpendicular
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Q: lines
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A: The line containing the points (6,y) and (8,-2) is perpendicular to the line containing the…
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A: The given line is y=x
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A: Explanation of the answer is as follows
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Q: 2. Which equation represents a line that passes through (9,5) and is perpendicular to this line? y =
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Q: Determine whether the lines L1: (0, −1), (5, 9) and L2: (0, 3), (4, 1) passing through the pairs of…
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Q: 3. Find the midpoint of the line segment with endpoints (-7, 3) and (3, -7). O (2, -5) O (-2, -2) O…
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Q: O 2. Find the other endpoint of the line segment AB, if the midpoint is (-8, 8) and one of the…
A: Given: Line segment ABmidpoint of a line segment=(-8,8)one end point of line segment let…
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Q: What is the equation of a line that is perpendicular to the line that goes through the points (0,…
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Q: of . Which line described below is h the points (7,-3) and (2,6) h the points (9,6) and ( 12, 8) h…
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Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…
A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…
Q: Which point(s) lie on the line (x, y, z) = (2, 1, – 3) + r(3, 2,–4)? a) (2, 1,- 3) b) (8, 5,- 11)
A: The vector (x,y,z)=(2,1,-3)+r(3,2,-4)
Q: 6. Is the line y=-x-9 perpendicular to the line y= x-9? 6.
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A: We are given the following figure.
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A: The solution is :
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A: Given Equation of lines y=3x+28 ---(1) y=3x+37 ---(2)
Q: Which of the following is the point of intersection between the lines 2x + y = 7 and x - y = 2
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- Rita is a runner. She records the amounts of time that it takes her to run different distances in the scatter plot below. Which statements are true? a) There is a least one outlier represented in the scatter plot. b) There is a linear association between distance and time in the scatter plot. c) There is a nonlinear association between distance and time in the scatter plot. d) There is a positive association between distance and time in the scatter plot. e) There is a negative association between dstance and time in the scatter plot.A Hong Kong snack-food vendor offers 3 types of boxed ”lunches to go,” priced at $3, $5, and $10, respectively. The vendor would like to establish whether there is a relationship between the price of the boxed lunch and the number of sales achieved per hour. Consequently, over a 15-day period the vendor records the number of sales made for each of the 3 types of boxed lunches. The following data show the boxed-lunch price (x) and the number sold (y) during each of the 15 lunch hours.(3, 7) (5, 5) (10, 2) (3, 9) (5, 6) (10, 5) (3, 6) (5, 6)(10, 1) (3, 10) (5, 7) (10, 4) (3, 5) (5, 6) (10, 4)Prepare a scatter plot of the points and comment on the relationship between the price of the boxed lunches and the numbers sold each lunchtime.A researcher desires to know whether the typing speed of a secretary (in words per minute) is related to the time (in hours) that it takes the secretary to learn to use a new word processing program. The data are Speed, x 48 74 52 79 83 56 85 63 88 74 90 92 Time, y 7 4 8 3.5 2 6 2.3 5 2.1 4.5 1.9 1.5 If there is a significant relationship, predict the time it will take the average secretary who has a typing speed of 72 words per minute to learn the word processing program.
- Suppose a graduate student does a survey of undergraduate study habits on his university campus. He collects data on students who are in different years in college by asking them how many hours of course work they do for each class in a typical week. A sample of four students provides the following data on year in college and hours of course work per class: Student Year in College Course Work Hours per Class 1 Freshman (1) 7 2 Sophomore (2) 5 3 Junior (3) 4 4 Senior (4) 4 Think about how close the line Y = –2X + 9 is to the sample points. Look at the graph and find each point’s vertical distance from the line. If the point sits above the line, the distance is positive; if the point sits below the line, the distance is negative. The sum of the vertical distances between the sample points and the orange line is ___?___ , and the sum of the squared vertical distances between the sample points and the orange line is ___?___ . On the graph, place the…Marlon Audio Company manufactures video tapes. The desired speed of its model SF2000 is 2 inchesper second. Any deviation from this value distorts pitch and tempo, resulting in poor sound quality. Thecompany sets the quality specification to 2 ± 0.25 inch per second because an average customer is likely tocomplain and return the tape if the speed is off by more than 0.25 inch per second. The cost per return is$36.00. The repair cost before the tape is shipped, however, is only $3.00 per tape.Required1. Compute L(x) if x is 2.12 inches per second.2. Estimate the tolerance for the firm to minimize its quality-related cost (loss).A researcher wants to determine if there is a linear relationship between the magnitudes of earthquakes and their depths below the surface of the epicenter. The magnitudes and depths (in kilometers) of eight recent earthquakes are shown in the table. Magnitude x 7.7 6.7 6.9 6.8 4.0 3.8 7.1 5.9 Depth y 35 18 17 26 5 10 25 10 Construct the 90% prediction interval if the magnitude of the earthquake is 5.0?
- Which of the following is true about the direction of the relationship between education and health? In other words, is it positive, negative, or nonexistent? Group of answer choicesSergei Ivanovich is one of the diligent students of a high school in the USA. He is also a basketball fan. One day her gym teacher assigned her to report the average points earned by women's basketball players in each game in the form of a written report. Then Sergei took 10 player names and their points in one game. He took data from the WNBA AIl-Times Leaders website, based on this data in this regular season Nykesha Sales got 14.2 points per game, Sophia Young-malcolm got 14.3; Kayla McBride got 14.5; DeWanna Bonner got 14.8; Napheesa Collier got 14.9; Sheryl Swoopes got 15.0; Tina Thompson gets 15.1; Jewell Loyd gets 15.2 points; Kelsey Mitchell gets 15.2 points; and Seimone Augustus got 15.4 points. If it is claimed that the population mean is 14 points in each game, the alternative is greater than the null hypothesis. Perform a unidirectional test of the results of the sample taken by Sergei lvanovich with a significance level of 0.01.The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 6.05 $ 73.22 1 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 1.40 41.80 5 7 .50 6.25 1 22 3.00 20.27 2…
- The Conch Café, located in Gulf Shores, Alabama, features casual lunches with a great view of the Gulf of Mexico. To accommodate the increase in business during the summer vacation season, Fuzzy Conch, the owner, hires a large number of servers as seasonal help. When he interviews a prospective server, he would like to provide data on the amount a server can earn in tips. He believes that the amount of the bill and the number of diners are both related to the amount of the tip. He gathered the following sample information. Customer Amount of Tip Amount of Bill Number of Diners Customer Amount of Tip Amount of Bill Number of Diners 1 $ 7.00 $ 48.97 5 16 $ 3.30 $ 23.59 2 2 4.50 28.23 4 17 3.50 22.30 2 3 1.00 10.65 1 18 3.25 32.00 2 4 2.40 19.82 3 19 5.40 50.02 4 5 5.00 28.62 3 20 2.25 17.60 3 6 4.25 24.83 2 21 5.50 44.47 4 7 0.50 6.24 1 22 3.00 20.27 2…The study below shows the typing speed of a secretary (in words per minute) and thetime (in hours) that it takes the secretary to learn to use a new word processingprogram. Speed Time48 774 452 879 3.583 256 685 2.363 588 2.174 4.590 1.992 1.5If there is a significant relationship, predict the time it will take the average secretarywho has a typing speed of 72 words per minute to learn the word processing program.a. Compute the value of correlation of coefficient, r and comment. b. Test the significance of the correlation coefficient at ? = 0.01, using Table I. c. Find the regression line equation. d. Plot scatter plot and draw the best fit line by using the regression line equation youobtained in (c). e. Find the standard error of the estimate. f. Predict the typing speed of a secretary (in words per minute) if he/she takes 1 hourto learn to use a new word processing program.The management of a supermarket wants to find if there is a relationship between the number of times a specific product is promoted on the intercom system in the store(x) and the number of units of that product sold (y). To experiment, the management selected a product and promoted it on the intercom system for 7 days, recording the number of times this product was promoted each day and the number of units sold. Summaries of a study conducted gave the following results: ∑x=177, ∑y= 144, SSxx=809.4286, SSyy=261.7143, SSxy= 407.8571 a) Calculate the correlation coefficient (r) relating number of times this product was promoted each day and the number of units sold. b) Find the regression line.