, and 
. Subtracting this from the numerator gives a remainder of
, and 
. Subtracting this from the previous remainder gives a new remainder of
is not a multiple of 
, so we're done. Then
Answer:
2.76
Step-by-step explanation:
smort
Answer:
(a+b,c)
Step-by-step explanation:
Note that the midpoint formula is:
Point A (0,0) and Point C (2a+2b,2c)
It follows that:
Answer:
5
Step-by-step explanation:
2x + 5 = 10
you minus the 5
2x = 5
you divide both sides by 2
x = 5
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.)
