A group of 5 people are going to meet weekly at the library for 4 weeks. Each week, two people are selected at random to speak. Each person may speak in multiple weeks, but no pair of people will speak together more than once. The probability that there is a person who will ne...
Anna was opening a new restaurant, so she went to the sign store to get letters to make a sign to hang above the storefront. When she got to the sign store, the only letters they had in stock were two copies of the letter 'X,' two copies of the letter 'E,' and ...
A bag contains 150 balls numbered 1 through 150 . Three balls are drawn and placed on the table. The probability that the balls were drawn in increasing order can be expressed as a/b where a and are coprime positive integers. What is the value of a+b
We are given 7 squares of side lengths 1, 2, 2, 2, 3, 4, 5. They can be fitted to form a rectangle, with no overlap or gaps in-between. What is the perimeter of the rectangle?
Let f(x)=x^2 -1 . How many distinct real roots are there to f(f(f(x)))
The vertices of a cube are labeled with the numbers 0,1,2,3,4,5,6 and 7, such that no two vertices are labeled with the same number. The sum of any 2 numbers on an edge is prime. What is the maximum sum of the 4 numbers on a face?
What is the answer to the equation (0.3.)²-(0.2)²(0.5)?
Use a half-angle identity to find the exact value for sec(x/2) if sinx = -12/13 ; 3pi/2 < x < 2pi
Determine whether the following is a polynomial. 937g2h3 - 238gh2 + 54gh
The following polynomial is prime. 2q² + 9q + 1