Find the length of  if ​A​ = (-3, 5) and ​B​ = (2, 1). Round to the nearest tenth, if necessary.a. 6.4b. 4.1c. 8.1d. 5Find the length of  if ​P​ = (8, -­4) and ​Q​ = (­-3, ­-4). Round to the nearest tenth, if necessary.a. 13.6b. 11c. 5d. 9.4On the number line below, find the coordinates of point ​U​ such that the length of  is  the length of  from ​R​ to ​T​.a. 8b. -2c. 2d. 0On the number line below, find the coordinates of ​P​ such that the length of  ​ is  the length of   ​from ​L​ to ​N.a. -2b. 1c. 8d. 4Points ​X​(6, 4) and ​Y​(-4, -16) are the endpoints of . What are the coordinates of point ​Z​ on   such that ​XZ ​is  the length of ?a. (-2, -12)b. (14, 20)c. (4, 0)d. (-12, -32)Find the coordinates of ​O​ on the number line below such that ​O​ partitions   such that ​MO​:​MN​ is in a 3:4 ratio.a. 3b. 2c. 8d. 5.25On the coordinate plane below, find the coordinates of ​S​ such that  ​is  the length of .a. (3,2)b. (-3, 4)c. (0,3)d. (9,0)Find the coordinates of ​P​ along the directed line segment of ​AB​ so that the ratio of AP​:​PB ​is 3:2. a. (1.4, 1.2)b. c. (0.6, -0.2)d. On the coordinate plane below, find the coordinates of ​R​ such that   ​is  the length of   from ​Q​ to ​T​.a. (-1, -1)b. (3.2, 1.8)c. (-2.2, -1.8)d. (-5.8, -4.2)

first paragraph Below we see three different definitions of the word "random". Notice that the statistics definition differs from the other definitions of random used in general language and in building trades. Write a small paragraph discussing how the "general" and "building trades" definitions of random differ from the "statistics" definition of random. Also discuss why these definitions create confusion for statistics students. For example, many people out in the world say they collected data "randomly" when it is not. Your initial post paragraph should have at least 150 words, but not more than 250 words. randomGeneral Definition: Proceeding, made, or occurring without definite aim, reason, or pattern. For example: "I walked around the store and randomly picked a person to talk to".Building Trades: lacking uniformity of dimensions. For example, random shingles.Statistics Definition: Selecting individual people or objects from a population where every person or object in the population has an equal probability of being chosen.When data does not represent the population we are studying, we say Second Paragraphit is "biased data". This a very different idea from what most people thinkof when they say "bias".In section 1C we saw there are many ways data can be biased: Question Bias, Response Bias, Sampling Bias, Non-response Bias and Deliberate Bias. Write a short paragraph answering the following questions.1. Why is it so important to have unbiased data.2. What problems could occur from analyzing and making population conclusions based on biased data?3. What can we do to avoid the various biases listed above?

Use Google Scholar to find a research study in any area of interest to you that involves hypothesis testing. Describe the study, hypothesis test, null/alternative hypothesis, alpha value, one or two-tailed test, results, and inferences made. Please make sure you cite references to any sources you use for this question. Provide a link to the actual study so that classmates can review the hypothesis test data. Explain the inferences you make from these results, importance of this data in general, how it relates to your life, and what you find interesting about the study.