What is the solution set of the system of equations z +y = 5 and y = x² – 25 A (0,5) and (11,-6) B(5,0) and (-6,11) (-5,0) and (6,11) D (-5,10) and (6,-1)
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A: solution:-
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A: The detailed solution is given below Thank you
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Q: 13. Solve the following system of equations: y = x2 + 10 + 35 4x + y = 2 || O (-11, -46) and (-3,…
A: solve the following
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- In horse racing, a “trifecta” occurs when a bettor wins by selecting the first three finishers in the exact order (1 St place, 2nd place, and 3rd place). How many different trifectas are possible if there are 14 horses in a race?A restaurant located in an office building decides to adopt a new strategy for attracting customers. Every week it advertises in the city newspaper. In the 6 weeks immediately prior to the advertising campaign, the weekly grosses were 350, 320, 307, 398, 420, 335 (in million VND). In the eight weeks after the campaign began, the weekly grosses was 488, 301, 276 380, 421, 425 (in million VND). a/ Test with a = 0.05 to determine whether there is enough evidence to conclude that expected weekly gross after the advertising campaign differs from 382. b/ Given that the weekly grosses are normally distributed, can we conclude that the advertising campaign helped in improving weekly grosses? (Assuming unequal variances and using a = 0.05)A researcher investigating a new product for clearing up acne selects a random sample of 13teenagers, and measures the amount of acnes they have. Afterwards, the researcher gives theparticipantsthe facial product to use, and asks that they report backafter 15 days of use. At theend, the researcher measures the acne numbers again and records the difference(after use minusbefore use).The results (in counts) aregiven below. Xi: -20, 8, 6, -14, -15, -14, 0, 1, 3, -7, -15,-4, 9 a.Identify the predictor and predicted variables. b.Determine if the studyisexperimental or non-experimental, explain why. c.Describe the levels of measurement for the variables, explain why. d.Report on the central tendencyby calculating the mean, median, mode. e.Report on the variabilityby calculating therange, variance, and standard deviation. f.Report on the kurtosis and skewness of the data.
- A researcher investigating a new product for clearing up acne selects a random sample of 13teenagers, and measures the amount of acnes they have. Afterwards, the researcher gives theparticipantsthe facial product to use, and asks that they report backafter 15 days of use. At theend, the researcher measures the acne numbers again and records the difference(after use minusbefore use).The results (in counts) aregiven below. Xi: -20, 8, 6, -14, -15, -14, 0, 1, 3, -7, -15,-4, 9 d.Report on the central tendencyby calculating the mean, median, mode. e.Report on the variabilityby calculating therange, variance, and standard deviation. f.Report on the kurtosis and skewness of the data.identify the sample space of the probability experiment and determine the number of outcomes in the sample space. Randomly choosing a number from the even numbers between 10 and 20, inclusive. The sample space is _____. * use a comma to separate answers as needed. Use ascending order.A dart is thrown and hits somwhere on the diagram shown to the right. Find the probabiltiy that the dart hits a green or blue area.
- A restaurant located in an office building decides to adopt a new strategy for attracting customers. Every week it advertises in the city newspaper. In the 6weeks immediately prior to the advertising campaign, the weekly grosses were 350, 289,407, 398, 470, 259 (in million VND). In the eight weeks after the campaign began, the weekly grosses was 488, 301, 276 380, 421, 425 (in million VND).a/ Test with a = 0.05 to determine whether there is enough evidence to conclude that expected weekly gross prior to the advertising campaign differs from 362.b/ Given that the weekly grosses are normally distributed, can we conclude that the advertising campaign helped in improving weekly grosses? (Assuming equal variances and using a = 0.05)An environmentalist wants to find out the fraction of oil tankers that have spills each month. Part a). Suppose a sample of 198 tankers is drawn. Of these ships, 155 did not have spills. Using the data, estimate the proportion of oil tankers that had spills. Enter your answer as a fraction or a decimal number rounded to three decimal places. Part b). Suppose a sample of 198 tankers is drawn. Of these ships, 155 did not have spills. Using the data, construct the 80% confidence interval for the population proportion of oil tankers that have spills each month. Round your answers to three decimal places.A bag contain red and blue marbles. In a representative sample of 10 marbles, there are 5 blue marbels. If the bag has 180 marbles, estimate the number of blue marbles and red marbles in the bag.
- Twenty years ago, 51% of parents of children in high school felt it was aserious problem that high school students were not being taughtenough math and science. A recent survey found that 232 of 700parents of children in high school felt it was a serious problem that highschool students were not being taught enough math and science. Doparents feel differently today than they did twenty years ago? Use theα = 0.1 level of significanceJury Census data for a certain county show that 19%of the adult residents are Hispanic. Suppose 72 peopleare called for jury duty and only 9 of them are Hispanic.Does this apparent underrepresentation of Hispanics callinto question the fairness of the jury selection system?Explain.The number of people per movie theatre was calculated for the 94 departments from continental Metropolitan France). The following chart shows the results in tabulated form, where bin is measured in 1000s of people. (For example, there are 3 departments with between 0-10,000 people per theatre.) bin n (0,10] 3 (10,20] 17 (20,30] 35 (30,40] 25 (40,50] 8 (50,60] 5 (60,70] 1 How much flexibility did you have in choosing the bin-width? Explain briefly.