Answer:
The appropriate hypothesis set for Andraya to test is:
![H_0: p = 0.125](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D%200.125)
![H_1: p < 0.125](https://tex.z-dn.net/?f=H_1%3A%20p%20%3C%200.125)
Step-by-step explanation:
The makers of the game claim that the wheel has an equally likely probability of landing on each section.
That is, the makers claim that the probability of earning the grand prize is:
![p = \frac{1}{8} = 0.125](https://tex.z-dn.net/?f=p%20%3D%20%5Cfrac%7B1%7D%7B8%7D%20%3D%200.125)
Andraya has played the game for several months and believes that the grand prize occurs less often than the game makers claim.
At the null hypothesis, we test if it happens as often as the makers claim, that is, the proportion is 0.125. So
![H_0: p = 0.125](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D%200.125)
At the alternate hypothesis, we test if it happens less ofter than the makers claim, that is, the proportion is less than 0.125. So
![H_1: p < 0.125](https://tex.z-dn.net/?f=H_1%3A%20p%20%3C%200.125)
The appropriate hypothesis set for Andraya to test is:
![H_0: p = 0.125](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D%200.125)
![H_1: p < 0.125](https://tex.z-dn.net/?f=H_1%3A%20p%20%3C%200.125)
Answer:
71.6 degrees
Step-by-step explanation:
We can use the law of sines: ![\frac{a}{sinA} =\frac{b}{sinB}=\frac{c}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7BsinA%7D%20%3D%5Cfrac%7Bb%7D%7BsinB%7D%3D%5Cfrac%7Bc%7D%7BsinC%7D)
Here, we have: ![\frac{14}{sin71} =\frac{9}{sinC}](https://tex.z-dn.net/?f=%5Cfrac%7B14%7D%7Bsin71%7D%20%3D%5Cfrac%7B9%7D%7BsinC%7D)
Solving for C, we have: 14 * sinC = 9 * sin71 ⇒ C = 37.4 degrees
To find angle D, we take 180 degrees and subtract angles E and C from it:
180 - 71 - 37.4 = 71.6 degrees.
Thus, the answer is 71.6 degrees.
Hope this helps!
Answer:
C. Reactants combine to form Products. Hope this helped! ;)
Step-by-step explanation:
The answer to (-3) + (4) is 1