4. The Earth revolves around the Sun along an ellipse. The Sun lies in the focus of the ellipse. The largest distance from the Sun to the Earth is 152.1 million kilometers, and the shortest is 147.1 million kilometers. Find the length of the semi-minor axis of the ellipse and the eccentricity of the el- lipse. What is the distance between the two foci of the ellipse?
Q: 2. Given the stated information: Foci at (-5,0) and (5,0); length of the major axis is 12 units a.…
A: (2). (a). Given: Foci of the ellipse: (-5, 0) and (5, 0) Therefore the center of the ellipse is:…
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Q: 20. Find the ratio of the length of minor axis to the length of the major axis of the ellipse 9x^2 +…
A: Given that: 20.9x2+16y2-144=021.y=x(x+1)3 22. Area of rhombus=24 sq. units. One diagonal=6 units.…
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A: Maximum length of ellipse = length of major axis = 2×(length of semi major axis)
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A: Let end points of chord be P(acosθ,bsinθ) and Q(acosθ-π2,bsinθ-π2)that is P(acosθ,bsinθ) and…
Q: 1.) A gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0,20), and the width of…
A: Given, a gateway is a parabolic shape whose vertex is 20 ft. From the ground, (0, 20), and the…
Q: 2. Find the standard equation of the ellipse which satisfies the given conditions. a. Center (2,1),…
A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…
Q: 7. FIND THE EQUATION OF THE ELLIPSE WITH FOCI: (-4,0) AND MAJOR AYIS LENGTH = 6 (も)
A: Given: Foci : -4,0,(-4,4) or ±4,0 Major axis length = 6 Here the foci is are on x-axis ,so…
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A: Consider the equation of an ellipse r= Where e is the eccentricity and 0<e<1.
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A: Let the length of the rectangle is = 2x Let the height of the rectangle=2y (as shown in the…
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A: topic- ellipse
Q: 1. A semielliptical bridge is 150 feet wide and 80 feet tall at the center. How high is the bridge…
A: Solved below
Q: The lengths of the major and minor axes of an ellipse are 10 m and 8 m, respectively. What is the…
A: Topic =Geometry
Q: The ratio of the major axis to the minor axis of the ellipse 9x2 + 4y2 – 24 y – 72x – 144 = 0 is %3D…
A: Solution is here
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Q: 4. Find the area of the largest isosceles triangle that can be inscribed in the ellipse y2 = l. a2…
A: To find the area of the largest isosceles triangle.
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A: Length of the major axis =10 cm Length of minor axis =8 cm We have to find the eccentricity of the…
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Q: 2. The x- coordinates of the foci of a vertical ellipse are equal.
A: ## we want to find that the given statment is true of false, the given statement is the x coordinate…
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Q: Charles and Bernice ("Ray") Eames were American designers who made major contributions to modern…
A: Draw the Ellipse and write major axis and minor axis then use formula to find out the foci.
Q: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse. The…
A: Given: The earth revolves around the sun along an ellipse. The sun lies in the focus of the ellipse.…
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A: The standard form of an ellipse is with (h,k) as the centre.
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A: Given : Foci: (0, 0), (0, 8); major axis of length 18
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A: to construct an elliptical table top from a 4 ft by 8 ft sheet of plywood.
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A: Solution 1: Given that, distance between foci is 8. eccentricity is 1.33. Since we know that,…
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A: we have to find the standard equation of the ellipse
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Q: Find the standard form of the equation of the ellipse with the given characteristics. Foci: (0, 0),…
A: Here , We will find the equation of the ellipse using the general equation of the ellipse.
Q: 15. Find an equation for the ellipse of eccentricity 2 that has the line メニZ as directrix and the…
A: Please refer the attached image for complete solution.
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A: "Since you have asked multiple question, we will solve the first question for you. If you want any…
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Q: 3. The ellipse defined by the equation 2x² + y² + 4x – 9y = 7. Major axis parallel to: Graph: 10…
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- Each March, the Current Population Survey (CPS) is expanded to gather a wider variety of information than what is collected in the monthly reports. Suppose in one March survey, we are interested in participants whose highest level of education is a bachelor’s degree and who are between the ages of 25 and 64. It turns out that 14,959 of the survey respondents fall into this category. Think of them as a population. A) To select an SRS of these people, how would you assign labels? B) Use table 7.1, starting at line 107 choose the first three members of the SRS.To evaluate a CDF use Desmos only where directly indicated, otherwise use the attached z-score and areas tables and show all steps. Clearly explain and justify the solution using proper terminology and notation. Please, I need your help. Thanks 4. During the dry month of August, one Canadian cityhas measurable rain on average only 2 days permonth. Suppose the arrival of rainy days is Poissondistributed in this city during the month of August. a) What is the average number of days that will passbetween measurable rain? b) What is the probability during this month that therewill be a period of less than 2 days between rain? c) Determine the number of days, d, such thatP(x>d) is 50%.Researchers gave a family planning survey was given to the head(s) of household in a local community. In particular, one question asked the head(s) of households to indicate if they think the community has a great, some, or no need of family planning counseling. In addition, they were asked to indicate how many children are in the household. Researchers want to know if the number of children in the household is impacted by family planning counseling. What can they conclude with an α of 0.01? great some no 00231201 62315435 94329454 A) Conduct Tukey's Post Hoc Test for the following comparisons: 1 vs. 2: difference = 1 vs. 3: difference = B)Conduct Scheffe's Post Hoc Test for the following comparisons: 1 vs. 3: test statistic = 1 vs. 2: test statistic =
- A sample of 120 employees of a company is selected, and the average age is 37 is an example of . Survey responses of "good, better, best" is an example of . A tax auditor selects every 1000th income tax return to audit is an example of . The number of floors in a building is an example ofChick-fil-A gets it right. Which fast-food chain fills orders most accurately at the drive-thru window? The Quick Servcie Restaurant magazine drive-thru study involved a total of 7594 visits to restaurants in the 25 largest fast-food chains in all 50 states. All visits occured during the lunch hours of 11:00 A.M. to 2:30 P.M. or during the dinner hours of 4:00 to 7:00 P.M. During each visit, the researcher ordered a maint item, a side item, and a drink. One item was left off of each order; for example, a field researcher could order a burger with no pickles. After recieving the order, all the food and drink items were checked for accuracy. ANy food or drink item recieved that was not exactly as ordered resulted in the order being classified as inaccurate. Also included the measurement of accuracy were condiments asked for, napkins, straws, and correct change. Any errors in these resulted in the order being classified as inaccurate. Chick-fil-A had the fewest inaccuracies, with only 14…Best on-time airlines: Hawaiian Airlines topped the list of the most punctual U.S. airlines for full-year 2014, according to data released by the Bureau of Transportation Statistics. The on-time arrival performance was 91.9% Another aviation data service believes that this percentage now is even higher. The team of researchers chose 130 randomly selected flights and find that 120 of the flights arrived on time. Can a hypothesis test be used to determine whether the proportion of Hawaiian Airlines flights that arrive on-time is higher than 91.9%? Yes, because the sample is random. Thus, it is representative of the population of flights for the airlines. Yes, because the sample is random and (130)(0.923) and (130)(0.077) are both at least 10. This means the normal model is a good fit for the sampling distribution. Yes, because the sample is random and (130)(0.919) and (130)(0.081) are both at least 10. This means the normal model is a good fit for the sampling distribution.
- The Institute of Education Sciences measures the high school dropout rate as the percentage of 16- through 24-year-olds who are not enrolled in school and have not earned a high school credential. Last year, the high school dropout rate was 8.1%. A polling company recently took a survey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are high school dropouts. The polling company would like to determine whether the dropout rate has decreased. At a 5% significance level, the p-value and α are __________.The Institute of Education Sciences measures the high school dropout rate as the percentageof 16-through 24-year-olds who are not enrolled in school and have not earned a high schoolcredential. Last year, the high school dropout rate was 8.1%. A polling company recently took asurvey of 1,000 people between the ages of 16 and 24 and found that 6.5% of them are highschool dropouts. The polling company would like to determine whether the dropout rate hasdecreased at a 5% significance levelOut of 1800 candidates appeared for a competitive examination 625 were successful; 300 had attended a coaching class and of these 180 came out successful. Test for the association of attributes attending the coaching class and success in the examination.
- Violence against women 2009 In its study When MenMurder Women: An Analysis of 2009 Homicide Data,2011, the Violence Policy Center (www.vpc.org) reportedthat 1818 women were murdered by men in 2009. Ofthese victims, a weapon could be identified for 1654 ofthem. Of those for whom a weapon could be identified,861 were killed by guns, 364 by knives or other cuttinginstruments, 214 by other weapons, and 215 by personalattack (battery, strangulation, etc.). The FBI’s UniformCrime Report says that, among all murders nationwide,the weapon use rates were as follows: guns 63.4%, knives13.1%, other weapons 16.8%, personal attack 6.7%. Isthere evidence that violence against women involvesdifferent weapons than other violent attacks in theUnited States?Before the Mayweather vs Pacquiao's Fight of the centure, 75% of the people in Manila said that they preferred boxing over basketball. After the fight, out of the 150 randomly, chosen people in Manila, 150 said they preffere boxing over basketball. Does this indicate that people in Manila are losing interest in boxing? Use 0.05 level of significance.Your place of employment is trying to determine whether to allow its employees to work from home for2 days a week. Knowing that you’ve previously taken a statistics course, your boss asks you to “figure itout”. You create a survey to gauge employee interest in this area.1. Formerly, your place of employment has tried to give surveys to everyone, a census, but only a fewpeople responded to the email. Your new plan is to randomly choose some employees and administerthe survey yourself. You put everyone’s name on a numbered list and randomly choose numbers untilyou have your sample. What form of sampling is being described here?2. Suppose you want to estimate the percentage of employees who want to work from home. Doingsome research on the internet, you find a recent study that found that 72% of employees prefer a hybridremote-office model. Using that value as your sample proportion, ?̂, estimate how many people youwould need to survey in order to estimate the percentage in your company…