Answer:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Step-by-step explanation:
the general formula for a geometric sequence is given by:

For this case we know that 
Then we have the following conditions:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Answer:
- P(≥1 working) = 0.9936
- She raises her odds of completing the exam without failure by a factor of 13.5, from 11.5 : 1 to 155.25 : 1.
Step-by-step explanation:
1. Assuming the failure is in the calculator, not the operator, and the failures are independent, the probability of finishing with at least one working calculator is the complement of the probability that both will fail. That is ...
... P(≥1 working) = 1 - P(both fail) = 1 - P(fail)² = 1 - (1 - 0.92)² = 0.9936
2. The odds in favor of finishing an exam starting with only one calculator are 0.92 : 0.08 = 11.5 : 1.
If two calculators are brought to the exam, the odds in favor of at least one working calculator are 0.9936 : 0.0064 = 155.25 : 1.
This odds ratio is 155.25/11.5 = 13.5 times as good as the odds with only one calculator.
_____
My assessment is that there is significant gain from bringing a backup. (Personally, I might investigate why the probability of failure is so high. I have not had such bad luck with calculators, which makes me wonder if operator error is involved.)
Answer:
<h2>At least 21 cookie</h2>
Step-by-step explanation:
Firstly she needed to raise $150
and each cookie $5
let the number of cookie be x
let the expression for the fund raising be
150=5x
given that the mom gave her $45
then she need
150-45=5x
105=5x
x=105/5
x=21
Therefore she need to sell at least 21 cookie
Answer:
650/per hour
Step-by-step explanation:
I got this answer by dividing 1,625 by the amount of hours it took to fill that much water, 2.5 so basically i divided 1,625/2.5 to get my answer.