<u>Answer with step-by-step explanation:</u>
We are given three different expressions and we are to write an equivalent exponential equation for them.
We know that the standard form of a logarithmic expression is given by:
which is equivalent to the exponential form 
.
1. 
---> 
2. 
---> 
3. 
---> 
Answer:
The answer is A. 145
Step-by-step explanation:
Hope this helped : )
Answer:
Confidence Interval for the mean
Step-by-step explanation:
Confidence interval is made using the observations of a <em>sample</em> of data obtained from a population, so it is constructed in such a way, that, with a certain <em>level of confidence </em>(this is the statement mentioned in the question), that is, one could have a percentage of probability that the interval, or range around the value obtained, frequently 95%, contains the true value of a population parameter (in this case, the population mean).
It is one way to extract information from a population using a sample of it. This kind of information is what inference statistic is always looking for.
An <u>approximation</u> about how to construct this interval or range:
- Select a random sample.
- For the specific case of a <em>mean</em>, you need to calculate the mean of the <em>sample </em>(sample mean), and, if standard deviation is unknown or not mentioned, also calculate the sample standard deviation.
- With this information, and acknowledged that these values follows a standard normal distribution (a normal distribution with mean 0 and a standard deviation of 1), represented by random variable Z, one can use all this information to calculate a <em>confidence interval for the mean</em>, with a certain confidence previously choosen (for example, 95%), that the population mean must be in this interval or <em>range around this sample mean.</em>
Answer:
1/5106
Step-by-step explanation:
40
40 - 5
40 +40 +20= 100%
5+5+2.5= 12.5 %
She gave 12.5 percent
