What is the first quartile of the following data set? 12, 33, 15, 22, 29, 11, 17, 19, 10, 24, 38
vodka [1.7K]
First, organize the numbers in numerical order:
10, 11, 12, 15, 17, 19, 22, 24, 29, 38
Then, find the mean: which is the middle of the data set. The middle lies right between 17 and 19, which is 18.
The first quartile is the middle of the first half. Which is the number 12.
Answer:
292.32
Step-by-step explanation:
16% = 0.16
348 × 0.16 = 55.68
348 - 55.68 = 292.32
Using an exponential function, it is found that the decay rate is of 6.24% a year.
<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.
The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.



![\sqrt[10.75]{(1 - r)^{10.75}} = \sqrt[10.75]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B10.75%5D%7B%281%20-%20r%29%5E%7B10.75%7D%7D%20%3D%20%5Csqrt%5B10.75%5D%7B0.5%7D)

1 - r = 0.9376.
r = 1 - 0.9376.
r = 0.0624.
The decay rate is of 6.24% a year.
More can be learned about exponential functions at brainly.com/question/25537936
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