Answer:
There are 7123 boxes of ice cream left in the factory
Step-by-step explanation:
Initially produced in factory : 6911 boxes
135 boxes are sold, so the factory now has 6911 - 135 = 6776
347 more boxes are produced, so we add this number to what there was in the factory: 6776 + 347 = 7123
a. Notice that
1/(1*2) = 1/2 = 1 - 1/2
1/(2*3) = 1/6 = 1/2 - 1/3
1/(3*4) = 1/12 = 1/3 - 1/4
and so on, which suggests the n-th term of the sum can be written as
Then the sum itself is telescoping:
b. The proof is trivial:
so the formula found in (a) is correct.
Answer:
-36
Step-by-step explanation:
C- is either a or c
Explanation -
Hello, there!
There are 365 days in a year.
We already know that one person has a birthday on blank day. We will call this person a. That means that there is a 100% chance that they have that birthday.
Because there are 365 days in a year, the odds of person b having a birthday on a certain day is 1/365
Odds of person A having that birthday: 365/365
Odds of person B having that birthday: 1/365
To find the odds of them having the same birthday, we must multiply these odds.
365/365 * 1/365 = 1/365
1/365 = 0.27%
This means that there is a 0.27% chance that both people share the same birthday.
I hope I helped!
Let me know if you need anything else!
~ Zoe