Answer:
2
Step-by-step explanation:
If it is an apple, then it grows on trees.
9514 1404 393
Answer:
False
Step-by-step explanation:
The given formula is the "explicit" formula for the sequence.
The recursive formula would be ...
a[1] = 160
a[n] = 1/2·a[n-1] . . . . each term expressed in as a function of previous terms
The given statement is false.
Answer:
Each bag will get 5 candy canes and 3 cookies.
Step-by-step explanation:
Find the divisors of both numbers
75 = 1,75 : 3,25 : 5,15 : 15,5 : 25,3 : 75,1
45 = 1,45 : 3,15 : 5,9 : 9,5 : 15,3 : 45,1
Since the largest common divisor is 15, we want to use 15.
Each bag will get 5 candy canes and 3 cookies.
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose
We have 
and 
, because the dice are fair.
Now we use the assumption of independence to claim that
Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of 
are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
