The common difference is 12
Further explanation:
It is given that the infinite sequence is an arithmetic sequence
The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The common difference is denoted by d.
Here,

The common difference is same for all proceeding terms.
So,
d = 12
Keywords: Infinite arithmetic sequence, Common difference
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Answer:
0.318
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
The expected value is the probability times the frequency.
3 = 1/6 × n
n = 18
Note: the use of the word "odds" is very misleading here. Odds are the ratio of number of successes to number of failures:
S / F
Probability is the ratio of number of successes to number of all outcomes:
S / (S + F)
So the probability of rolling a 5 is 1/6. The odds of rolling a 5 is 1/5.
Furthermore, the word "must" is also incorrect. The player didn't <em>have</em> to roll 18 times. They could have rolled three times and gotten a 5 each time. Or they could have rolled 100 times. 18 is simply the most <em>likely </em>number of rolls needed to get three 5's.
Answer:
C. 0.68
Step-by-step explanation:
Given;
number of products sold in a day by toll-free sales line = 85 products
number of calls in a day = 125
The daily success rate of the sales line is given by the ratio of the total products in a day to total number of calls in a day.
The daily success rate of the sales line = total products sold / number of calls
The daily success rate of the sales line = 85 / 125
The daily success rate of the sales line = 0.68
Therefore, the daily success rate of the sales line is 0.68