In 1770, Joseph-Louis Lagrange proved that every positive integer can be written as the sum of four squares. For example,
13
=
0
2
+
0
2
+
2
2
+
3
2
.

How many of the first
15
positive integers can be written as the sum of three squares?

The two square pyramids are similar. find the total volume of both pyramids if the ratio of their surface areas is 9/16

Formulate alisha has a number in mind. if she adds three to her number the result is less than five. use this information to write and solve an inequality about alisha's number. then graph the solution set.

Abag contains 3 red marbles, 2 blue marbles, and 2 green marbles. one marble is picked, then another marble. assume that the selections are made with replacement. a) find the probability of picking two red marbles with replacement. b) find the probability of picking a red marble and a blue marble. assume the selections are made without replacement. c) find the probability of picking two red marbles without replacement. d) find the probability of picking a red marble and a blue marble without replacement.