*These kinds of conundrums are purposely meant to divide and conquer, and predictably, the seemingly simple problem posed in the offending tweet—8÷2(2 2)—practically caused a civil war in the magazines. Bobby Lea, test editor (and three-time Olympic cyclist): i ride bikes Matt Allyn, features director: for anyone that wants a longer explanation of why you divide before multiply in this case Pat Heine, video producer: ..writes out PEMDAS and then does PEDMASMatt: you clearly didn't listen Pat: i didn't...i was busy correcting her math. Matt: ok, Derek, the video's for you Pat: if you get 16 it's because you don't know the difference between brackets and parentheses.*Naturally, we took to Slack to hash out our differences. Morgan Petruny, test editor: I agree with Derek and disagree with You Tube. Bobby: This sounds like a conversation the belongs on the Not My Job segment of Katie Fogel, social media editor: polling our IG audience on this now...Number of ways of getting a sum 22 are 6,6,6,4 = 4!

Sol: Probability math - Total number of ways = 6 × 6 = 36 ways. Now, these two days can be (Sat, Sun) (Sun, Mon) (Mon, Tue) (Tue, Wed) (Wed, Thur) (Thur, Friday) (Friday, Sat). = 1/7 Odds against the event = 6 : 1Example 15: Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 red & 6 black balls respectively.

Favorable cases = (1, 6) (6, 1) (2, 5) (5, 2) (3, 4) (4, 3) --- 6 ways. Sol: (i) honor cards = (A, J, Q, K) 4 cards from each suits = 4 × 4 = 16 P (honor card) = 16/52 = 4/13 (ii) face cards = (J, Q, K) 3 cards from each suit = 3 × 4 = 12 Cards. So there are total 7 cases out of which (Sat, Sun) (Sun, Mon) are two favorable cases. of ways in which two particular people sit together is 13! The probability of two particular persons sitting together 13! 1 of the bags is selected at random and a ball is drawn from it.

So he began working on a solution three years ago, and eventually invited González-Acuña to solve it with him. “The second surface is such that it corrects all the aberration generated by the first surface, and the spherical aberration is eliminated.”Head spinning aside, González-Acuña's formula has serious real-world potential.

“I remember one morning I was making myself a slice of bread with Nutella, when suddenly, I said out loud: Mothers! Beyond consumer needs, it could make for sharper lenses on scientific and medical equipment, from telescopes to microscopes.

P (A) = 6/36 = 1/6Example 5: 1 card is drawn at random from the pack of 52 cards. P (face Card) = 12/52 = 3/13Example 7: Three dice are rolled together. So, P (53 Sundays) = 2 / 7 Now, P(52 Sundays) P(53 Sundays) = 1 So, P (52 Sundays) = 1 - P(53 Sundays) = 1 – (2/7) = (5/7)Example 14: Fifteen people sit around a circular table. If the ball drawn is red, find the probability that it is drawn from the third bag.

What is the probability as getting at least one '4'? Probability of getting number ‘4’ at least one time = 1 – (Probability of getting no number 4) = 1 – (5/6) x (5/6) x (5/6) = 91/216Example 8: A problem is given to three persons P, Q, R whose respective chances of solving it are 2/7, 4/7, 4/9 respectively. What are odds against two particular people sitting together? Sol: Let E1, E2, E3 and A are the events defined as follows.“Angular Dependence for ν‘, j’-Resolved States in F H2 → HF(ν‘, j’) H Reactive Scattering Using a New Atomic Fluorine Beam Source” I can see if he wants to weigh in… please do Trevor: PEMDAS Andrew: i'll also fire off the request to my go-to physicist who also just answered the POP question of how to jump from a moving train Taylor: tbh it would be awesome if we could find experts who disagree Trevor: wait revisited my interpretation of PEMDAS back to 16this is why I went to art school Taylor: I asked my friend [REDACTED], who is about to graduate with her phd in statistics from [REDACTED] and has three or four math masters degreesand i am so pleased to report she's on my side Derek: [REDACTED] wins Andrew: but what did [REDACTED] say was the answer??!Taylor: there is no answer, fake question designed to stoke outrage Bill: maybe our smart take is: math is not subjective, nobody writes math like this, here is what's wrong Taylor: she's just getting started Kit: Sounds like [REDACTED] needs to write the sweaty math take Andrew: daaaaang [REDACTED]go off Bobby: no we're onto something! D., Associate Professor of Physics at Southeastern Louisiana University, Who Delivered the Final Verdict and Decisively Shut Us All Up Of course this isn't math. We have conventions on how to write these things just like we have conventions on how to spell stuff. Some people spell it as ‘gray’ and others as ‘grey.’ We still understand what's going on.A (far less famous) contemporary of Aristotle, Diocles wrote a book titled simplify it, the problem is that as light rays fall on a lens, different rays don't meet after the lens in a single focal point.Imperfections in the lens, even on the most high-end model, prevent total removal of the aberration.Andrew: hooooo boyi just got off the phone with the american mathematical societywhat a rollercoaster this is turning out to bemy man mike with the AMS, whose job it is to explicitly answer questions like this one, says the answer is ...Brad: 42Tyler Daswick, associate features editor: secretly the best answer here Andrew: SIXTEEN Andrew, minutes later: why is no one reacting appropriately to this news Brad: Because he's wrong. Andrew: he says (and i'll have to go back to the transcript) that using *traditional* order of operations, the answer is 16Matt Phillips, senior test editor: Andrew, my brother has a Ph D in theoretical physics and writes papers with titles like…Find the probability that first is green and second is red. Sol: A leap year can have 52 Sundays or 53 Sundays.Sol: P (G) × P (R) = (5/12) x (7/11) = 35/132Example 4: What is the probability of getting a sum of 7 when two dice are thrown? In a leap year, there are 366 days out of which there are 52 complete weeks & remaining 2 days.Adaptive and individualized, Reflex is the most effective system for mastering basic facts in addition, subtraction, multiplication and division for grades 2 .Full of games that students love, Reflex takes students at every level and helps them quickly gain math fact fluency and confidence.

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