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I’m a grade 12 student filling out my SAT subject test form. I plan to study engineering, should I take math 1 or math 2? What’s the difference between them, and why?
To be honest scoring higher on Math II does look better especially if you’re going to Engineering. Math I covers basic topics that all highschools usually teach.Math II also covers topics that usually all highschools teach, however they are topics that not ALL students really get taught (precalc). Especially since SATs are taken around late soph to early senior year, even if you end up taking pre calculus during senior year, it won’t help as much.
What is the difference between e.g. and i.e.?
i.e. and e.g. are two very useful abbreviations in English, though they both have their roots in Latin language. Both i.e. and e.g. come very handy as long as they are no mixed up, confused with one another. Other than being abbreviations of Latin phrases, they share no common ground. The abbreviation i.e.—short for the Latin id est—which means that is, namely, or in other words. It is widely different from e.g.—short for the Latin phrase exempli gratia—means for example.Both i.e. and e.g. are used in writing in English language, they are never used in spoken English. Have you ever heard anyone saying i.e. or e.g. out loud. They are meant to be used in writing. If you are talking, you just say ‘for example• or • that is• but if you are writing you can use the abbreviation e.g. or i.e. Always remember that they are always written in lower case, without italics.Some common mistakes-i.e. vs e.g.Incorrect: I want to drink something cold, i.e., cold coffee, lemonade.Correct: I want to drink something cold, e.g., cold coffee, lemonade.Incorrect: I like only outdoor sports, i.e., football, cricket, lawn tennis .Correct: I like only outdoor sports, e.g., football, cricket, lawn tennis .Incorrect: Frog is an amphibian creature, e.g. ,it can live both in water and land.Correct: Frog is an amphibian creature, i.e., it can live both in water and land.Incorrect: John loves listening to all types of music on the radio, e.g., classical, country western and reggae.Correct: John loves listening to all types of music on the radio, e.g., classical, country western and reggae.How to remember the difference between i.e. and e.g.One of the easiest ways to memorize the difference between these two is by employing a simple mnemonic device: think of the i at the beginning of i.e. as standing for the first word in the phrase “in other words,” indicating that the clause that follows will rephrase or explain what precedes the term. It is little more easier to memorize e.g. Memorize e as in “example.”Things to make a note of1: Do not italicize the abbreviations. They are considered standard English even though they are Latin in origin.2: Use a period after each letter of the abbreviation.3: Use a comma after the abbreviation, as most official style guides require or prefer the use of one.4: Use a comma before the abbreviations unless it begins the sentence.5: If a sentence begins with “i.e.” or “e.g.,” use a comma after the abbreviation.6: If “i.e.” or “e.g.” are used in parenthesis, use a comma after the abbreviation.7: If “i.e.” or “e.g.” are used within a sentence without parenthesis, use a comma before and after the abbreviation.8: Do not use “etc.” or “and so on” at the end of a list following “e.g.” because it implies the list is incomplete.
What is the difference between out and over as prefixes, e.g. outperform and overperform?
As a prefix, “out” is used in the comparative, meaning one can “outdo”, “outperform”, etc. only in comparison with someone else. So you may outdo XYZ in sports or outperform him/her in mathematics.“Over”, as a prefix, refers to something done “in excess to no or negative benefit”. Thus, one may “overact” on stage, exaggerating the acting to the point where it actually takes away from the performance. To overperform, therefore, would mean to do ones job in excess of what is required, often leading to a lesser or even negative result.
On any number of blank multiple choice questions, is it better to fill in each answer with the same answer (e.g., "C" over and over), or fill out each answer randomly?
Let us take the CFA L1 exam as an example:There are 240 three-choice questions (33% probability of a correct answer for each question).Assuming a passing score of 70%, we need to get at least 240 * 70% = 168 correct answers to succeed.If we pick all Cs (in the case of a 3-choice MCQ) we can expect a score of 33%*240 = 80 but we are sure to fail (assuming correct choices of As, Bs and Cs are equally distributed), while if we choose randomly, our expected score should also be 80 but our range of results will go from 0 to 240, so we should go for this option. For each chosen number of correct answers we have a binomial distribution with a mean of np = 240 * 33% = 80 and a standard deviation of [np(1-p)]^0.5 = 7.3. Therefore, the minimum threshold of 168 is about 12 σ away from the mean which means chances of succeeding by randomly picking As, Bs or Cs are infinitesimal. a) The probability of 168 correct answers in whatever order out of 240 questions is 240! * (1/168!) * [1/(240-168)!] * (33%^168) * [(1-33%)^(240-168)].We must also account for 169 correct answers, 170, 171... until 240, and sum all those amounts.b) We can also use the Excel BINOMDIST function and calculate 1 - BINOMDIST(167, 240, 1/3, TRUE) to find the cumulative probability from 168 to 240 correct answers. We find a very small figure of order E-15 (which happens to be negative, should be positive, probably Excel cannot handle such a small figure).This is the probability to succeed in passing the CFA L1 exam by randomly choosing between As, Bs or Cs.As a conclusion, we have the choice between picking all Cs (0% success rate) and picking randomly between As, Bs and Cs (infinitesimal success rate, but infinitely better than 0%).The smart choice is the second one, and the real smart choice is to study for the exam.
How can you tell the difference between an instinct, gut feeling, and emotional flashback? Is my feeling of mistrust and anxiety a projection from the past or an instinct telling me to get out of the situation?
How can you tell the difference between a dark blue and a black sock? If you don’t have a bright enough light, you won’t be able to tell the difference.I don’t think there’s an easy way around the hard work, if that’s what you’re looking for.As long as you’re experiencing a trigger that sends you into an emotional flashback, then it doesn’t make any difference what you see in the present because you’re not there anymore. You’re reliving a past moment. You’ll feel unsafe even if you aren’t.Until you shine enough light on your past experiences, you won’t be able to effectively distinguish between a safe and a dangerous situation. That’s by design to encourage you to seek healing or by design as in “better safe than sorry.”If you’re concerned about safety, you’re better off taking the necessary precautions to maximize safety. For example, don’t spend time alone with someone you don’t know very well.Build trust slowly with others as you repair your ability to discern who is safe and who isn’t. Nothing in life is without risk, but you can minimize your vulnerability.
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