Using an exponential function, it is found that it takes 18.6 days for 80% of the material to decay.
The amount of a substance after t days is modeled by:
In which:
- k is the decay rate, as a decimal.
- A(0) is the initial amount.
The half-life is of 8 days, hence 
, and this is used to find k.
Hence:
The time it takes for 80% of the material to decay it t for which 
, hence:
It takes 18.6 days for 80% of the material to decay.
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Answer:
d. None of the above.
Step-by-step explanation:
<em>a. By the law of large numbers, it would again be 46%.
</em>
FALSE. This proportion (46%) is a sample statistic, that can or can not be repeated in another sample.
<em>b. By the law of large numbers, the smaller (second) survey will certainly produce a sample proportion farther from the true population proportion than the larger (first) survey.
</em>
FALSE. Smaller samples will produce wider confidence intervals for the estimation of the population proportion, but larger samples does not necessarily gives us better point estimations of the true proportion. A small sample can be closer to the true proportion than a large sample, although is less probable.
<em>c. The proportion computed from the sample of 5000 people would be more accurate because smaller samples tend to be more homogeneous than larger samples.
</em>
FALSE. There is no evidence to claim that smaller samples are more homogeneous.
<em>d. None of the above.</em> TRUE
Answer: 7 handshakes in all.
Step-by-step explanation:
If you and another person have one shake and there are 14 total people in the cabin that means that there will be 7 handshakes in all.
Answer is 2+2x+4y
Have a great day/night
Given those zeros you have
X=0, x=1, and x=7
Since your factors are set equal to zero you just rewrite what’s above to equal 0.
X is just x
X=1 is (x-1)
X=7 is (x-7)
So your function is
x(x-1)(x-7)
