Just do this: 15/5 = 3 so she can have 3 of each color.
Answer: 1/6
Step-by-step explanation: To find the probability of rolling a 4, let's use our ratio for the probability of an event which is shown below.
Number of favorable outcomes/total number of outcomes
Since only one side of a number cube has a 4 on it, the number of favorable outcomes for rolling a 4 is 1 and since there are six sides to a number cube and it's equally likely that the cube will land on any of these sides, the total number of outcomes is 6.
So the probability of rolling a 4 is 1/6 which is equivalent
to 0.167 or 16.7%.
That means it is't likely that you would roll a 4 for instance but it's just as likely as rolling any other number.
Answer:
See proof below.
Step-by-step explanation:
True
For this case we need to use the following theorem "If 
are eigenvectors of an nxn matrix A and the associated eigenvalues 
are distinct, then 
are linearly independent". Now we can proof the statement like this:
Proof
Let A a nxn matrix and we can assume that A has n distinct real eingenvalues let's say 
From definition of eigenvector for each one 
needs to have associated an eigenvector 
for 
And using the theorem from before , the n eigenvectors 
are linearly independent since the 
are distinct so then we ensure that A is diagonalizable.
Answer:
Step-by-step explanation:
6^3 is the error, 6^3 is 216.
the correct volume is 904.32
