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)
We know that x = 30 + y, because the problem says that there are 30 more football players than basketball players.
Each group has 10 more members added: x + 10 and y + 10. We can write x + 10 as 30 + y + 10 or 40 + y.
The ratio (40 + y)/(y + 10) = 3/2. You can cross multiply to get:
80 + 2y = 3y + 30
Combine like terms to get:
y = 50 members on the basketball team. Since there are 30 more members on the football team, you just add 30 to 50 to get x = 80 members on the football team.
5
Write -22 in the middle of the graph, number the rest of the graph accordingly and draw an open circle around the line under the -22 and draw a line along the graph to the right
7
Write 15 in the middle of the graph and number the rest of the graph accordingly, draw a colored in circle under the 15 on the graph and draw a line to the to the right
Sorry, I'm on the road and couldn't take a picture of the solution
Answer: The function c(p) represents the cost for (P) people to attend the movies.
The function t(m) represents the average high temperature for a given number of months.
Step-by-step explanation:
If two secants are drawn from a point lying outside a circle, then the product of one secant on its outer part is equal to the product of the other secant on its outer part.
DE*CE = AE*BE
DE = CD + CE = 1 + x + 4 = x + 5
AE = AB + BE = 11 + x + 1 = x + 12
(x+5)(x+4)=(x+12)(x+1)
x² + 4x + 5x + 20 = x² + x + 12x + 12
9x + 20 = 13x + 12
20 - 12 = 13x - 9x
8 = 4x
x = 8/4
x = 2