Answer:
The probability is 0.4909
Step-by-step explanation:
The following equation for nCk give as the number of ways in which we can select k elements from a group of n elements:

Then, there are 220 ways in which we can select 3 candies from the 12 that are in the pack. It is calculated as:

On the other hand, there are 108 different ways to select the 3 candies in which they are all different flavors. It is calculated as:
4C3 * 3C1 * 3C1 * 3C1 = 108
Because, 4C3 give us the number of ways to select 3 flavors from the 4 flavors. From this 3 flavors selected, we are going to select one candie from each one, so we multiply 3 times by 3C1, one for each flavor.
Finally, the probability is the division between the number of ways in which we can select 3 candies with different flavors and the total number of ways in which we can select 3 candies from the 12 in the pack. This is:

Answer:
Step-by-step explanation:
The equation for an arithmetic sequence is
where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.
Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:
which simplifies to
and a bit more to
(which should tell you that arithmetic sequences are lines!)
Finding the 13th number simply requires that we replace n with 13 and solve:
so

Answer:
9 percent of 578 is 52.02.
Step-by-step explanation:
578/x=100/9
(578/x)*x=(100/9)*x - we multiply both sides of the equation by x
578=11.111111111111*x - we divide both sides of the equation by (11.111111111111) to get x
578/11.111111111111=x
52.02=x
x=52.02
The answer is -49 because you multiply by 7.