Q: Proficiency #10. [Contradiction/Cases] Let A = {q € Q |(3n E N)(q = 2)}. Show that 2 ¢ A. 2n+3 n+2
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A: To find the nth formula for the given sequence
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A: We have to find the formula
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A: Recursive sequence is a sequence in which terms are defined using one or more previous terms
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Q: Sequence Recursive Formula Next 4 terms 6, 9, 12, 15 22, 11, 0, -11 6, 12, 18, 24
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Q: A sequence is given by the recursive definition an = an-1 + 3, ao = 2. a) Find a1, a2,ɑz. b) Find a…
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Q: Sequence Туре th term formula O Arithmetic a 3D (a) 7, 28, 112, ... O Geometric Arithmetic (b) 2, 5,…
A: To find the nth formula
Q: Factorial Simplify the following. 1. 7! 2. 4 + 4 3. 5! - 4! 4. (4!) (5!) Show your solution.
A: Given1)7!
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A: Since you have posted multiple questions we solve the first three questions for you, To get the…
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Q: 1. find the geometric term of 100, 20, 4 (15th term)
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Q: th Sequence Туре n term formula O Arithmetic (a) -96,-24, -6, ... %3D O Geometric O Arithmetic %3D…
A: We have to check the type and write the nth formula.
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A: Given information: n = 4000 p = 0.50(Probability of getting tail in a fair coin toss)
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Q: 3+6(0.2)+12(0.2)2+24(0.2)3+48(0.2)4+⋯=
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Q: Sequence A Sequence B 4 Value 10 Term Number Value 1 1. 4. -4 2. -2 3 -1 Term Number -2 -1 6. 9 10…
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Quadratic Equation
When it comes to the concept of polynomial equations, quadratic equations can be said to be a special case. What does solving a quadratic equation mean? We will understand the quadratics and their types once we are familiar with the polynomial equations and their types.
Demand and Supply Function
The concept of demand and supply is important for various factors. One of them is studying and evaluating the condition of an economy within a given period of time. The analysis or evaluation of the demand side factors are important for the suppliers to understand the consumer behavior. The evaluation of supply side factors is important for the consumers in order to understand that what kind of combination of goods or what kind of goods and services he or she should consume in order to maximize his utility and minimize the cost. Therefore, in microeconomics both of these concepts are extremely important in order to have an idea that what exactly is going on in the economy.
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- Reference: Camm J.D. et al., (2019) Business Analytics: descriptive, predictive and prescriptive (3rd edition). Cengage ____________________________________________________________________________________ Jay Gatsby categorizes wines into one of three clusters. The centroids of these clusters, describing the average characteristics of a wine in each cluster, are listed in the following table. Characteristic Cluster 1 Cluster 2 Cluster 3 Alcohol 0.819 0.164 -0.937 MalicAcid -0.329 0.869 -0.368 Ash 0.248 0.186 -0.393 Alcalinity…The Grand Canyon and the Colorado River are beautiful, rugged, and sometimes dangerous. Assume there is a physician at the park clinic in Grand Canyon Village. Suppose the physician has recorded (for a 5-year period) the number of visitor injuries at different landing points for commercial boat trips down the Colorado River in both the Upper and Lower Grand Canyon. Upper Canyon: Number of injuries per Landing Point BetweenNorth Canyon and Phantom Ranch 2 3 1 1 3 4 8 11 3 1 3 Lower Canyon: Number of injuries per Landing Point BetweenBright Angel and Lava Falls 10 1 1 0 8 9 2 11 3 0 1 10 2 1 The mean, median, and mode for Upper Canyon are 3.636, 3.0, and 3, respectively. The mean, median, and mode for Lower Canyon are 4.286, 2.0, and 1, respectively.Compare the mean, median, and mode found in Upper Canyon and Lower Canyon, respectively.Enacted in 1998, the Children's Online Privacy Protection Act requires firms to obtain parental consent before tracking the information and the online movement of chidren; however, the act apples to those children ages 12 and under. Teenagers are often oblivious to the consequences of sharing their lives online. Data reapers creat huge libraries of digital profiles and sell these profiles to advertisers, who use it to detect trends and micro-target their ads back to teens. For example, a teen searching online for ways to lose weight could become enticed by an ad for dietary supplements, fed into his/her network by tracking cookies. As a preliminary step in gauging the magnitude of teen usage of social networking sites, an economist surveys 200 teen girls and 200 teen boys. Of teen girls, 166 use social networking sites; of teen boys, 156 use social networking sites. In a report, use the sample information to 1. Construct a contingency table that shows frequencies for the qualitative…
- Some studies have shown that in the United States, men spend more than women buying gifts and cards on Valentine’s Day. Suppose a researcher wants to test this hypothesis by randomly sampling nine men and 10 women with comparable demographic characteristics from various large cities across the United States to be in a study. Each study participant is asked to keep a log beginning one month before Valentine’s Day and record all purchases made for Valentine’s Day during that one[1]month period. The resulting data are shown below. Use these data and a 1% level of significance to test to determine if, on average, men actually do spend significantly more than women on Valentine’s Day. Assume that such spending is normally distributed in the population and that the population variances are equal.The table gives the first 5 observations of 4242 years of data on boats registered in Florida and manatees killed by boats. Year Boats Manatees 1977 447 13 1978 460 21 1979 481 24 1980 498 16 1981 513 24 1982 512 20 Click to download the data in your preferred format to view the full data. CSV Excel JMP Mac-Text Minitab14-18 Minitab18+ PC-Text R SPSS TI CrunchIt! The scatterplot of this data shows a strong positive linear relationship. The correlation is ?=0.919. (b) Suppose we expect that the number of boats registered in Florida to be 950,000 in 2019. What would you predict the number of manatees killed by boats to be if there are 950,000 boats registered? Give your answer to a whole number. ?̂ = manatee deaths Select the statements that explain why we can trust this prediction. The prediction is reliable because of the strong linear association visible in the scatterplot. The…Trematodes of the species Euhaplorchis californiensis may infect the California kill fish, Fundulus parvipinnis. Researchers have observed that infected fish spend excessive time near the water surface, where they may be more vulnerable to bird predation. Researchers set up an experiment in a large outdoor tank that stocked with three kinds of killifish, uninfected, lightly infected, and highly infected, and recorded the number of fish that is eaten by birds. State the null and alternative hypothesis
- #Original immigrant datax = c(61159, 57524,56186,52254,54884,51869,29743,39877,50086,53672,65707,73861) #Age of labor dataage_over_16 = x*0.95 #Illegal immigrant data of employede1 = age_over_16*0.65 #Illegal immigrant data of unemployede2 = age_over_16*0.04 #Illegal immigrant data of Not in the labor forcee3 = age_over_16*0.30 What linear regression model should I use in R? And how to draw the linear regression graph based on this model? Thanks.#Original immigrant datax = c(61159, 57524,56186,52254,54884,51869,29743,39877,50086,53672,65707,73861) #Age of labor dataage_over_16 = x*0.95 #Illegal immigrant data of employede1 = age_over_16*0.65 #Illegal immigrant data of unemployede2 = age_over_16*0.04 #Illegal immigrant data of Not in the labor forcee3 = age_over_16*0.30 What linear regression model should I use in R? Thanks.1. A manufacturing company produces part 2205 for the aerospace industry. This particular part can be manufactured using 3 different production processes. The management wants to know if the quality of the units of part 2205 is the same for all three processes. The producion supervisor obtained the following data: The Process 1 had 29 defective units in 240 items; Process 2 produced 12 defective units in 180 items and Process 3 manufactured 9 defective units in 150 items. Chi-square Contingency Table Test for Independence Col 1 Col 2 Col 3 Total Row 1 Observed 29 12 9 50 Expected 21.05 15.79 13.16 50.00 (O - E)² / E 3.00 0.91 1.31 5.22 Row 2 Observed 211 168 141 520…
- In August and September 2005, Hurricanes Katrina and Rita caused extraordinary flooding in New Orleans, Louisiana. Many homes were severely damaged or destroyed; of those that survived, many required extensive cleaning. It was thought that cleaning flood-damaged homes might present a health hazard due to the large amounts of mold present in many of the homes. The article “Health Effects of Exposure to Water-Damaged New Orleans Homes Six Months After Hurricanes Katrina and Rita” (K. Cummings, J. Cox-Ganser, et al., American Journal of Public Health, 2008:869–875) reports that in a sample of 365 residents of Orleans Parish who had participated in the cleaning of one or more homes, 77 had experienced symptoms of wheezing, and in a sample of 179 residents who had not participated in cleaning, 23 reported wheezing symptoms (numbers read from a graph). Can you conclude that the frequency of wheezing symptoms is greater among those residents who participated in the cleaning of flood-damaged…Data is given below. Please correct the wrong ones. i will upvote! Respondent Plan Company 1 LayOff Public 2 NoChange Public 3 NoChange Public 4 Add Public 5 Add Public 6 NoChange Public 7 NoChange Public 8 LayOff Public 9 NoChange Private 10 NoChange Private 11 Add Public 12 Add Public 13 Add Public 14 LayOff Public 15 Add Public 16 LayOff Public 17 Add Private 18 LayOff Public 19 NoChange Public 20 NoChange Public 21 Add Private 22 LayOff Public 23 LayOff Public 24 Add Private 25 NoChange Public 26 Add Public 27 NoChange Public 28 NoChange Private 29 LayOff Public 30 LayOff Public 31 NoChange Public 32 LayOff Public 33 Add Public 34 Add Public 35 LayOff Private 36 LayOff Private 37 NoChange Private 38 Add Private 39 Add Public 40 LayOff Public 41 LayOff Public 42 NoChange Private 43 LayOff Public 44 Add Public 45 Add Public 46 NoChange Public 47 LayOff Public 48 LayOff Public 49 Add…Consider a hypothetical study that suggests that job satisfaction predicts the extent to which employees perform well on the job. A follow-up investigation supports the mechanism underlying this relationship: satisfied employees show up to work more energized, which in turn goes on to influence their performance. In the space below, match the variables in the study with the corresponding name. Independent variable a. Energy at work b. job performance c. job satisfaction d. This type of variable is not mentioned in this example Mediator variable a. Energy at work b. job performance c. job satisfaction d. This type of variable is not mentioned in this example