Step-by-step explanation:
The formula for percent change is
change/original.
So let's subtract 17 from 55 to find the change. 55-17=38
This is the change. Now we divide it by the original, 17.
38/17=2.235294
We're not done yet! We have to move the decimal point over to the right 2 spaces to make it a percentage. So, the percentage increase is
about 223.53 percent
Answer:
10.5
Step-by-step explanation:
27 / 2 = 13.5, 13.5 - 3 = 10.5
Answer:
The value of the test statistic is ![t = 2.1](https://tex.z-dn.net/?f=t%20%3D%202.1)
Step-by-step explanation:
Our test statistic is:
![t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
In which X is the sample mean,
is the expected value,
is the standard deviation and n is the size of the sample.
The level of ozone normally found is 7.5 parts/million (ppm).
This means that ![\mu = 7.5](https://tex.z-dn.net/?f=%5Cmu%20%3D%207.5)
The mean of 24 samples is 7.8 ppm with a standard deviation of 0.7.
This means that ![X = 7.8, \sigma = 0.7, n = 24](https://tex.z-dn.net/?f=X%20%3D%207.8%2C%20%5Csigma%20%3D%200.7%2C%20n%20%3D%2024)
Test Statistic:
![t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![t = \frac{7.8 - 7.5}{\frac{0.7}{\sqrt{24}}}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B7.8%20-%207.5%7D%7B%5Cfrac%7B0.7%7D%7B%5Csqrt%7B24%7D%7D%7D)
![t = 2.1](https://tex.z-dn.net/?f=t%20%3D%202.1)
The value of the test statistic is ![t = 2.1](https://tex.z-dn.net/?f=t%20%3D%202.1)
Answer:
The answer to your question is the letter a) √3/3
Step-by-step explanation:
Data
find tan 30°
Use the triangle 30°-60°-90° (see the picture below)
Tangent is the trigonometric function that relates the Opposite side and the adjacent side.
tan Ф = Opposite side / Adjacent side
-Substitution
tan Ф = 1/√3
or 1/√3 √3/√3 = √3/3