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Prime number 2,3,5,7 --- 4 primes
favourable pairs= c(4,2)=6, total pair=C(10,2)=45
Probability =6/45 =2/15
Hello, @math9maniac
Paul's Online Math Notes and Khan Academy are excellent free resources on differential calculus that offer many practice problems along with concise explanations. They are ideal for brushing up on your economics knowledge!
Yes, both forums deal with maths, but they have different objectives.
Exercises Forum: where complete math problems and solutions are posted. You practise there by working through or talking about exercises. You can verify other people's responses or share your own.
Use the Help Me Forum to ask questions when you're having trouble. You post a problem there for assistance or explanations, rather than just solutions, if you don't know where to begin or where you went wrong.
Yes, that is a typical issue! Selecting a topic that feels relevant and new can sometimes be the most difficult part. Here are several methods to generate ideas:
Examine current difficulties in patient care, mental health support, nurse burnout, and healthcare technology.
Examine your personal experiences; something that inspired or disappointed you during your clinical rotations could serve as a solid starting point.
Examine current nursing journals; they frequently identify unresolved issues or trending research gaps.
Speak with peers or mentors; these conversations frequently reveal real-world issues that are worth researching.
3.214*10^1
4.21*10^-3
2.1210*10^4
5.14*10^-2
3 heads (5 flips): 5/16 = 0.31
No rain 2 of 3 days: 0.288
Pages 100-250 (4 tries): 0.064
That way of thinking is fantastic. Once you begin to appreciate maths, it becomes an integral part of your daily life. Clothes with maths themes seem like a fun way to express that enthusiasm. Continue to enjoy maths and spread the good vibes.
That's fantastic to hear! ? It's wonderful to see more people finding and enjoying quality maths tools, so thank you for sharing. Cheers to soon having more than 100,000 members! ?
That makes sense because there are a number of non-personal reasons why posts may be removed. A post may be removed from forums such as Café Infinity if it:
didn't adhere to the rules or topic of the section (for example, "Dark Discussions" might need specific themes).
appeared to be an informal conversation rather than discussion-related material.
was reported (sometimes unintentionally) by users or auto-moderation.
Most likely, you did nothing wrong. You can gently message a moderator to find out why it was taken down and if you can republish it somewhere else.
Would you like to ask a moderator about it in a brief message?
Excellent question! The majority of forum assistants are math enthusiasts; some are professionals or teachers, but not all hold certifications. Moderators oversee content rather than confirming its accuracy.
Yes, it's acceptable. If your maths homework or practice questions are from your own notebooks and aren't from recent or copyrighted tests, you can publish them.
Sharing old 1993 class notes is acceptable!
Give real-world examples, such as litres, meters, and kilogrammes.
Create number lines or conversion ladders to visualise.
Ask yourself, "Am I going to a bigger or smaller unit?" to help you think clearly.
Practical experience: measure or pour to observe connections.
Make a connection to math and perform numerical conversions once it makes sense.
Numbers are hard, welcome! ? You're not alone; many students first have trouble with the unit circle and tangent graph. Everything begins to make sense after you master the patterns. It's great to have you here, and I hope you make some maths friends with whom you can laugh and learn about trig!
? Welcome! You seem to have a strong foundation; for biologists, linear algebra and analysis are difficult tasks. One fantastic method to use maths creatively is through 3D printing! Indeed, lowercase is acceptable in this context. The "bad referer header" notice typically indicates that the website needs your browser to transmit a referrer; you can resolve this by turning it on in your browser's settings.
Sounds really useful! A two-page helpsheet containing formulas and common mistakes for logarithms and indices would serve as an excellent quick-reference for revision and exams.
Yes, it’s a wonderful site! Extremely user-friendly and ideal for fast math assistance.
Finding all of a function's antiderivatives is the goal of an indefinite integral. If F(x) = 1, then ? (?) + ?
Since a constant's derivative is zero, F(x)+C is likewise one. For this reason, we usually include "- C," which stands for the entire family of options. The constant is subsequently fixed by the beginning or boundary conditions in actual problems.
I've started relearning the basics of maths, and Ed Southall's book Yes, But Why? is a great resource. It is clear, concept-focused, conversational, and full of "aha" moments, making it ideal for self-learners even though it was created for teachers. It makes good use of images, seamlessly integrates themes, and even provides background information. Along with GeoGebra and MathIsFun, highly recommended.
That explanation of modality in mathematics is excellent!
When we deal with concepts like necessity and possibility in addition to true/false propositions, modal logic adds depth. Its connections to logic, evidence, optimisation, and even artificial intelligence are fascinating. Although it is more abstract for most students, it becomes quite useful in advanced math and logic philosophy.
Because they simplify subjects, the Maths for Dummies books are excellent for novices. However, they're more of a beginning point; you'll need more resources if you need depth for more difficult tests.
In standard maths, it is impossible to establish that 1 + 1 = 3. Any "proof" conceals a mistake (such as altering definitions or dividing by zero).
Based on the specified measurements, the Quonset hut's volume is approximately 280,400 cubic feet.
What is the smallest positive integer that has to be added with (1^14 + 2^14 + 3^14 +
⋯ +2024^14) so that the sum is divisible by 7?
Answer: 6. The short explanation is modulo 7, k^14 ≡ k^2. Every seven, residues repeat; 1^2 +⋯+6^2≡ 0. Sum ≡ 1^2 ≡ 1 since 2024 = 7⋅289+1. 7−1 = 6.
Hello,
Find the condition or conditions that the constants A, B, C, D, E, F need to satisfy so that the following two equations have one solution only:
y = A*x^2 + B*x + C
y = D*x^2 + E*x + FGood luck,
Kerim
Let's
a = A−D, b = B−E, c = C−F,
Thus, intersections resolve ax^2 + bx + c =0
Two situations that are mutually incompatible result in exactly one (actual) solution:
The quadratic has a double root when a≠0:
b^2 − 4ac = 0
When a=0 (quadratics reduce to a linear equation) and b≠0, the unique solution to bx +c =0 is x=−c/b.
Don't include a=b=c=0. (infinitely many common locations) and the scenario where c≠0 (no solution) and a=0 are also present.
Olivia cut a rectangle into exactly nine squares. On inspection, he observed that the area of one square was 64 cm²
, the areas of two other squares were 16 cm²
, and the rest of them were 4 cm²
each.
What was the perimeter of the original rectangle
The rectangle is 10×12, so its perimeter is 44 cm.