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The exponential equation that represents how many grams of the compound will remain after 8 hours is:
B: C=260(0.962)^8
<h3>What is an exponential function?</h3>A decaying exponential function is modeled by:
In which:
- A(0) is the initial value.
- r is the decay rate, as a decimal.
A radioactive compound with mass of 260 grams decays at a rate of 3.8% per hour, hence the equation for the mass after t hours is given by:
After 8 hours, the amount is given by:
Hence option B is correct.
More can be learned about exponential equations at brainly.com/question/25537936
Using the z-distribution, it is found that the 95% confidence interval is of -1.38 to 1.38, and 1.74 is outside the interval.
<h3>What is a confidence interval for the difference in sample means?</h3>It is given by:
In which:
is the estimate of the difference.
- s is the standard error.
- z is the critical value.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
The estimate and the standard error are given, respectively, by:
Hence, the interval has the bounds given as follows:
The 95% confidence interval is of -1.38 to 1.38, and 1.74 is outside the interval.
More can be learned about the z-distribution at brainly.com/question/24372153
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