Given that 
and 
, if 
is an arithmetic sequence, then the common difference between successive terms is 
.
You then have
So the explicit formula for the
th term is
You then have
So the explicit formula for the
The number of light bulbs produced by a company can be modeled by the expression
1 answer:
Answer:
Expression is 3x² + 5x - 17
Step-by-step explanation:
We are told the number of lights produced by a company is;
Number of lights = 15x^3 + 16x^2 – 100x + 51
Also, number of companies that purchased the light bulbs is 5x - 3.
Thus;
The average number of bulbs purchased per company = (15x^3 + 16x^2 – 100x + 51)/(5x - 3)
I have attached the calculation using long division method to get;
3x² + 5x - 17
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Answer:
a) P(2)=0.270
b) P(X>3)=0.605
c) P=0.410
Step-by-step explanation:
We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:
a) In this case:
Therefore, the probability is P(2)=0.270.
b) In this case:
Therefore, the probability is P(X>3)=0.605.
c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.
In this case:
Therefore, the probability is P=0.410.