It is 1 - 365Cn/365n. This is greater than 0.5 for n greater than or equal to 23.
n>1
l is greater than n
No, it is not. It is n.
For simplicity I will assume you're working in base x, for any integer x greater than 1, although the argument extends to integers greater than 1 in absolute value (note that in base -1,1 all decimal numbers are in fact integers and that in base 0 decimals are not very well defined). In base x, x can of course be conveniently denoted as 10, so in the remainder of this answer I will work in base x. It is sufficient to show that there exists a decimal number that is not an integer so take 0.1 or 10^-1. This number has the property that 10*0.1 = 1, it is the multiplicative inverse of 10. I will now prove by induction that no positive integer has this property. Base case: 1*10 = 10 which is greater than 1 by assumption. Suppose n*10 is greater than 1, then (n+1)*10 = n*10+1*10 = n*10 + 10 which is still greater than 1. So we now know that n*10 is always greater than 1 for any n greater than 0, from which it can be deduced that for these n, n*10 is also unequal to -1. Therefore, for no integer n unequal to zero can n*10 be 1. Now assume n=0, then n*10 = 0*10 = 0 which is not equal to 1 either. Thus, no integer n has the property n*10=1, whereas the decimal number 0.1 does. So 0.1 is not an integer and therefore the decimal numbers are not integers.
We know that the complete graph has n(n-1)/2 edges and we want to find out n such that n(n-1)/2 greater or equal to 500. Thus n(n-1) greater or equal to 1000. Taking n=33, we have, n(n-1)=33(33-1)=1056>1000. Therefore required smallest integer is n=33.
It depends on what you mean by a number. If n is a positive integer (except for 1), then n^2 is greater than n. If n = 0 or 1, then n and n^2 are equal. If n = 1/2, then n is greater than its square. If n is negative, then n is always less than its square.
2
It is 1 - 365Cn/365n. This is greater than 0.5 for n greater than or equal to 23.
n>1
l is greater than n
* Newton (N) is the SI unit of force: 1 N = 1kg.m/s2 * The SI unit of pressure is Pascal (Pa: 1 Pa = 1 N/m2) * Of course-as force, 750 N is greater than 500 N
The number of triangles in a complete graph with n nodes is n*(n-1)*(n-2) / 6.
A geometric sequence is : a•r^n which is ascending if a is greater than 0 and r is greater than 1.
No, it is not. It is n.
A positive number is any number greater than zero. 1 is a positive number, so is 2, 2.5, 3.14159, 11, 11.25 etc 0.5 is a positive number. The product of two positive numbers is the result of multiplying them together. * 2 x 3 = 6 (the product). In this case the product is greater than either number. But... * 0.5 x 0.25 is 0.125. ~In this case the product is actually smaller than either of the two numbers! * Or 0.5 x 10 = 5 . Here the product is greater than 0.5 but smaller than 10. So the answer is ...sometimes!
Take any integer, n, greater than 1.Then (1*n)/(6*n) will be an equivalent fraction.