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What is0.924 in standard form?
Aaaa
Why can each letter in a polygon's name be used only once?
Beacuse every point must have its own name to identify it from the others.
What is the probability that 4 random letters written down would create a palindrome phrase-the palindrome does not have to create a real word-for example agga would count as a palindrome?
Considering 26 letters alphabet For the first letter there are 26 choices, for the second also, but for the third just one choice (the same letter as the second) and for the fourth one choice (the same as the first letter) so there are 26x26 palindromes and 26x26x26x26 possible words of four letters so the probability would be (26x26) / (26x26x26x26) If aaaa is not to be consider as a palindrome then it's (26x25) / (26x26x26x26) --------------------- There are 264 possible combinations of four letters. There are 262 possible palindromes, because there are 26 choices for each of the first and second letters, and the third, fourth letters are uniquely determined. Hence the probability is 262/264, or 1/262.
How To Do Algebra?
It is really a fun! What is the number next to 12? 13 is the answer. Ok. Next to 25? 26 is the right answer. Now next to 102? 103 is the correct one. Now seriously, what is next to a? Usually almost all of us would say it is b. But it is absolutely wrong! Then what will be right answer? Let us analyse what we have done in the previous cases? We have added 1 to get the next number. Right? So next to a has to be a+1 and not b. This is algebra. Instead numbers, we use alphabets too to do mathematical manipulations. So a+b is a+b. No chance of adding as we add 2+6 as 8. Because a may assume any value. It may be 9, -3, ./2 , 3/4 , 0.78 or any value. Same away b may assume any value. Now a+a? Instead simply writing as a+a we can simplify writing as 2a. Hence 4m+3m = 7m and so on. Then a multiplied by b will be written as a*b or simply as ab. So abcd will be the product of a, b, c and d. If a is multiplied by a then AA may be marked. It may give an inconvenience if we multiply a's some four times. Instead writing aaaa, it will be easier and convenient to write as a4. This is how algebra grows in an interesting way. Then we come across many identities such as (a+b)2=a2 + b2 + 2ab.
