Domains of Rational Expressions [CLOs: 1, 2]In this discussion, you are assigned two rational expressions to work on. Remember to factor all polynomials completely. Remember to factor all polynomials completely. If you want to refresh your factoring skills, review sections 5.1 -- 5.6 in your e-book. Read the following instructions in order and view the example to complete this discussion. Please complete the following problems according to your assigned number. (Instructors will assign each student their number.)If your assigned number is:Your first rational expression isYour second rational expression is1a2 + 2a – 10 –11a2x – 8x2 – x2y2 + 11y + 30y + 55a – 3 a2 – 493u2 + u – 72 3u – 152w – 1 w2 – 94x2 – 6x – 55 x2 – 3x – 28b – 34b2 – 16516b2 – 12b2 + 11b – 6c2 + 2c – 10 10c2 – 80c + 16064w2 – 9–5wy2 – 4 2y2 + y – 17a2 + 6a + 9a – 10t2 + 2t – 10 t2 – 6t + 8881m2 – 16 5m + 1022x + 112x2 – x93a2 + 16a + 5a2 – 7a + 10b2 + 7b + 10 b2 – 9104x2 – 16x – 18r2 + 2r – 24 r – 211t2 – 14t + 494t – 83q2 – 22q + 24 q2 – 112v2 – v – 20 v2 + 4v + 36t – 3t13n2 – 2n – 15 n – 28k + 6 8k2 + 2k – 31464k2 – 9 2s2 + 2s – 15 s2 – 36154k2 – 12k + 94k3w2 + 36 2w – 8165m2 + mm + 612a – 15 5a – 25177t2 – 14t4t2 – 936 – w2w1822x + 11x2 – 3x – 101 – 2c 20c2 + 10c1920c3 + 5c2 – c 7c – 143a2 – 12a 24a2 – 18a20g2 – 36 6g2 + 15g7n – 2 4n2 – 25211 – 2x + x2x2 – 12c2 + 5c – 25 14c – 2122144 – w28 – 2wz2 – 8z + 16–12234 + 16n2n – 83x2 – 2x – 1 x2 – 8124y2 – 25–6y 37 2p – 4p225a2 – 100a2 + 5a + 63b2 – 9 b – 8261 – x2x2 + 10x + 252u – 2 1 – u273z + 33z5y3 – 75y 2y2 + y – 15289 – 36x2815k2 – 5k k2 – k – 3029x2 – 7x + 125xw2 – 9w – 36 16w2 – 130m2 + 13m + 406m4y – 3 25y2 – 431k2 – 8k172b + 1 3b2 – 12329b2 + 3412x – 6 10x2 + 5x3315x2 + 4550x42m2 – 3m 34g2 + 46g g3k + 1 k2 + k – 42354a – 5 144m3 +16m3m2 – m36x2 – 2523b2 – 18b + 81 3b2 – 12379m2 – 4235x + 15 x2 – 4938d2 + 933m2 + 4m – 55m2 + m3913n2 – 13n 6n2w + 19w2 – 1404x3 – 16x14 2b2 – 8 41x2 + 2x – 10 3x2x – 8x2 – 7x + 1042x2 + x – 72 245b – 3 b2 – 443w2 + 11w + 307w2n – 1 4n2 – 944g2 – 6g – 55 gk3 + kk2 – k – 424516t2 – 164x2 + 2x – 10 3x – 15Explain in your own words what the meaning of domain is. Also, explain why a denominator cannot be zero.Find the domain for each of your two rational expressions.Write the domain of each rational expression in set notation (as demonstrated in the example).Do both of your rational expressions have excluded values in their domains? If yes, explain why they are to be excluded from the domains. If no, explain why no exclusions are necessary.Incorporate the following five math vocabulary words into your discussion. Use boldfont to emphasize the words in your writing. Do not write definitions for the words; use them appropriately in sentences describing your math work.DomainExcluded valueSetFactorReal numbersYour initial post should be at least 250 words in length. Support your claims with examples from required material(s) and/or other scholarly resources, and properly cite any references.

The use of statistics is often employed to highlight international, national, and state trends in crime and drug abuse.1. Explain the following terms in your own words.1. Box-and-whiskers plot2. Standard deviation3. Normal distribution (9 points)2. A BAC describes the amount of alcohol in a person's blood, expressed as weight of alcohol per unit of volume of blood. For example, 0.08 percent BAC indicates 80 mg of alcohol per 100 ml of blood." (source: http://www.austintexas.gov/faq/what-does-blood-alcohol-concentration-bac-measure (Links to an external site.); please note, you do not require to access the source to answer the question) For the data set below calculate the mean, median, mode and standard deviation. Then, for Blood alcohol levels only, plot: a. Frequency histogram b. Probability (i.e. cumulative frequency) plot What do you conclude about the distribution of the sample?From the data set presented here, would you feel comfortable to say that the age group between 30-39 years exhibits higher BAC counts than other age groups? (16 points)AgeBlood alcohol level (mg/dL)2113456532346521348218362489284543102487852563711248105619533685841319036982710425324754356764625078389236845926418134852854241094296193433276418439139743410141954088In an experiment using three tosses of the same coin, state and apply the general equation that provides the total number of possible outcomes for the experiment and list the outcome string (3 points). Then, for each of the following three scenarios, list the possible outcome string and calculate the probability of the scenario as a decimal number (to three places) showing all working (9 points).The probability of getting three heads when flipping a coin 3 times.The probability of at least getting one head and one tail when flipping a coin 3 times.The probability of getting a head in the first flip, a tail in the second, and a head again in the third flip of a coin.Below is an incomplete contingency table displaying two levels for each the gender and the political party association (13 points).Complete the table with all marginal totals and cell counts.Calculate the following probabilities.For a male to be a Republican.For a voter to be female.For a voter to be either a democrat or a female.For a person to not be a female but voting democratic.Political partyTotalGenderRepublicanDemocratMale8773?Female61??Total??300

Purpose of Assignment The purpose of this assignment is to develop students' abilities to combine the knowledge of descriptive statistics covered in Weeks 1 and 2 and one-sample hypothesis testing to make managerial decisions. In this assignment, students will develop the ability to use statistical analysis and verify whether or not a claim is valid before advertising it. Assignment Steps Resources: Microsoft Excel®, Spicy Wings Case Study, Spicy Wings Data Set Develop a 700-word statistical analysis. Use descriptive statistics to compute a measure of performance John can use to analyze his delivery performance. Find the following for your measures:MeanStandard deviationSample sizeFive-number summary on the total time Conduct a formal hypothesis testing to help John decide whether to offer the delivery guarantee or not. Estimate the probability of an order taking longer than 30 minutes. Make a recommendation in a short narrative including the following:Based on the sampled data, should John offer the guarantee?What percent of the Saturday deliveries would result in a customer receiving a free order?What recommendations might help John improve his Saturday delivery times?Format your assignment consistent with APA format. Click the Assignment Files tab to submit your assignment. Note: Grades are awarded based upon individual contributions to the Learning Team assignment. Each Learning Team member receives a grade based upon his/her contributions to the team assignment. Not all students may receive the same grade for the team assignment.Ken ,Black. (2016). Business Statistic For contemporary Decision Making 9th Editionhttps://library.phoenix.edu/Phoenix Feel free to use more than one reference. Cannot accept more than 5% of plagiarismThis professor is super annoying and strict, so please be aware of that.Use grading guide attached and documents to help support the paper.