15/100=0.15
There are 11 numbers from 10 to 20 if we include 10 and 20. Of those, only 16 is a perfect square. So the probability if 1/11 or .09 repeating.
The probability is (1/2)25 = 1/33554432 = 0.00000003, approx
If you answer randomly, 1 in 8.
Part1: Finding probability of getting sum as a perfect square. Maximum sum of both the dice is (6+6) equal to 12. Up to 12, the perfect squares are: 1, 4 and 9. Getting a sum of 1 from two dice is not possible. So, we are left with 4 and 9. To get 4, the combination can be: (2,2) or (1,3) or (3,1). This means, to get the sum as 4, the probability is [3/36]. To get 9, the combination can be: (3,6) or (6,3) or (5,4) or (4,5). This means, to get the sum as 9, the probability is [4/36]. Therefore,the total probability of getting the sum as a perfect square is: [(3/36)+(4/36)]=[7/36]. Part2: Finding the probability of getting sum as an even number. The possible even numbers can be 2, 4, 6, 8, 10 and 12. But, as 4 is already considered in part1, it should be ignored in this case. The probability of getting sum as 2 is: [1/36] The probability of getting sum as 6 is: [5/36] The probability of getting sum as 8 is: [5/36] The probability of getting sum as 10 is: [3/36] By adding all the above, the probability of getting sum as an even number (ignoring 4) is: [(1/36)+(5/36)+(5/36)+(3/36)]=[14/36]. From part 1 and part 2, we get the total probability as [(7/36)+(14/36)]=[7/12]=0.583333.
102 = 100 which is the first possible three digit number that is a perfect square. 312 = 961 which is the last possible three digit number that is a perfect square. So there are 22 three digit positive numbers that are perfect squares.
and integer has to be whole
yes..always a perfect square A perfect square is the product of an integer by itself. If you multiply a perfect square x² by another perfect square y² you get x²y² = x·x·y·y = x·y·x·y = (x·y)² which is a perfect square. Note that the product of two integers will also be an integer so x·y must be an integer because if x² and y² are perfect squares x must be an integer and y must be an integer and x·y is therefore a product of 2 integers.
Only if the integer is a perfect square.
A perfect square is a square of an integer.The set of integers is closed under multiplication. That means that the product of any two integer is an integer. Therefore the square of an integer is an integer.Integers are rational numbers so the square [which is an integer] is a rational number.
It is 36/9702 = 0.0037 approx.
0
No. There are no integers that when multiplied by themselves equal 17.
No. The only square roots of integers that are rational numbers only when the integer is a perfect square.
The integers of its square roots refer to perfect squares, which are numbers that can be expressed as the square of an integer. For example, 0, 1, 4, 9, 16, and 25 are perfect squares because their square roots (0, 1, 2, 3, 4, and 5, respectively) are whole numbers. In general, a perfect square can be represented as ( n^2 ), where ( n ) is an integer.
The integer is 26
The perfect odd cubes between 1000 and 3000 are the cubes of odd integers that fall within this range. The smallest odd integer whose cube is greater than 1000 is 11 (since (11^3 = 1331)), and the largest odd integer whose cube is less than 3000 is 13 (since (13^3 = 2197)). Therefore, the perfect odd cubes between 1000 and 3000 are 1331 and 2197.
1,4,9,16,25,36,49,64,81