Answers:
- natural
- e
The logarithmic function f(x) = ln(x) is the <u> natural </u> logarithmic function and has base <u> e </u>
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Explanation:
The ln(x) or Ln(x) is the natural log function. The order of L and n is backwards compared to "natural log", but you can think of it "log that is natural" or something along those lines.
The Ln(x) function is of the form
where the base b is the special constant e = 2.718... (this constant is similar to pi = 3.14...)
Answer:
All real numbers are solutions.
Step-by-step explanation:
Answer:
![\mu -2\sigma = 24-2*3= 18](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024-2%2A3%3D%2018)
![\mu -2\sigma = 24+2*3= 30](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024%2B2%2A3%3D%2030)
So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Step-by-step explanation:
For this case we can define the random variable X as the amount of time it takes her to arrive to work and we know that the distribution for X is given by:
![X \sim N(\mu = 24, \sigma =3)](https://tex.z-dn.net/?f=%20X%20%5Csim%20N%28%5Cmu%20%3D%2024%2C%20%5Csigma%20%3D3%29)
And we want to use the empirical rule to estimate the middle 95% of her commute times. And the empirical rule states that we have 68% of the values within one deviation from the mean, 95% of the values within two deviations from the mean and 99.7 % of the values within 3 deviations from the mean. And we can find the limits on this way:
![\mu -2\sigma = 24-2*3= 18](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024-2%2A3%3D%2018)
![\mu -2\sigma = 24+2*3= 30](https://tex.z-dn.net/?f=%20%5Cmu%20-2%5Csigma%20%3D%2024%2B2%2A3%3D%2030)
So then we can conclude that we expect the middle 95% of the values within 18 and 30 minutes for this case
Answer:
The Answer is 34 Feet
Step-by-step explanation:
If you do 50 minus 16 you get 34. Add a negative sign and there you go.