Answer:
2/3 + 1/5 = 13/15
Step-by-step explanation:
Answer:
-44
Step-by-step explanation:
Answer: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :
3, 12, 48, 192, . . .
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by

For the given sequence, we have
first term, a = 3 and the common ratio, r is given by

Therefore, the 9th term of the given sequence will be

Thus, the required 9th term of the given sequence is 196608.
Option (D) is CORRECT.
Answer:
55.32% probability that a late package was delivered by express delivery service 2
Step-by-step explanation:
Bayes Theorem:
Two events, A and B.
In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.
In this question:
Event A: Late delivery.
Event B: Service 2 was used.
A certain company sends 35% of its overnight mail parcels via express delivery service 1 and the rest by express delivery service 2.
100 - 35 = 65%.
So 
Service 2 has a record of 2.0% of packages being delivered late.
This means that 
Probability of a late delivery.
35% from service 1. Of those, 3% are late.
65% from service 2. Of those, 2% are late.
So

What is the probability that a late package was delivered by express delivery service 2
55.32% probability that a late package was delivered by express delivery service 2