The average is the sum of the numbers divided by the quantity of numbers.
-100 + 102 =2
2/2 = 1
The average is 1
Answer:
- g(5x) = 0
- x = -10
Step-by-step explanation:
Do what your instructions say: read the graph and solve.
1. In order to find x, you look for the point where g(x) is 4. That point is found where x = -2. (See the first attachment.)
Then 5x = 5·(-2) = -10. To answer the question, you need to find the value of g(-10). Look where the graph crosses the vertical line at x=-10. It is at y=0, so ...
... g(5x) = g(-10) = 0
2. You already found the answer to this when looking for the answer to the first question. g(x) = 0 when x = -10. (See the second attachment.)
Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:
![H_0: p \leq 0.4](https://tex.z-dn.net/?f=H_0%3A%20p%20%5Cleq%200.4)
At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:
![H_1: p > 0.4](https://tex.z-dn.net/?f=H_1%3A%20p%20%3E%200.4)
The test statistic is:
In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that ![p = 0.4, \sigma = \sqrt{0.4*0.6}](https://tex.z-dn.net/?f=p%20%3D%200.4%2C%20%5Csigma%20%3D%20%5Csqrt%7B0.4%2A0.6%7D)
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:
![n = 200, X = \frac{90}{200} = 0.45](https://tex.z-dn.net/?f=n%20%3D%20200%2C%20X%20%3D%20%5Cfrac%7B90%7D%7B200%7D%20%3D%200.45)
Value of the test statistic:
![z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7BX%20-%20%5Cmu%7D%7B%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
![z = \frac{0.45 - 0.4}{\frac{\sqrt{0.4*0.6}}{\sqrt{200}}}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B0.45%20-%200.4%7D%7B%5Cfrac%7B%5Csqrt%7B0.4%2A0.6%7D%7D%7B%5Csqrt%7B200%7D%7D%7D)
![z = 1.44](https://tex.z-dn.net/?f=z%20%3D%201.44)
Thus the correct answer is given by option a.
A prism is rectangular shaped,. a pyramid is triangular shaped.
The ratio would be 1 to 3
The formula for the pyramid is V = 1/3Bh
Answer:
experiment
Step-by-step explanation:
bc shes experimenting on which one is more effective