Answer:
.
Step-by-step explanation:
The given expression is
It can be rewritten as
![2\left [\pi-\cos^{-1}\left(\frac{1}{\sqrt{2}}\right)\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cpi-%5Ccos%5E%7B-1%7D%5Cleft%28%5Cfrac%7B1%7D%7B%5Csqrt%7B2%7D%7D%5Cright%29%5Cright%5D)
![[\because \cos^{-1}(-x)=\pi-\cos^{-1}(x), x\in [-1,1]]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ccos%5E%7B-1%7D%28-x%29%3D%5Cpi-%5Ccos%5E%7B-1%7D%28x%29%2C%20x%5Cin%20%5B-1%2C1%5D%5D)
![2\left [\pi-\cos^{-1}\left(\cos \frac{\pi}{4}\right)\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cpi-%5Ccos%5E%7B-1%7D%5Cleft%28%5Ccos%20%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%5Cright%5D)
![2\left [\pi-\frac{\pi}{4}\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cpi-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%5D)
![2\left [\frac{4\pi-\pi}{4}\right]](https://tex.z-dn.net/?f=2%5Cleft%20%5B%5Cfrac%7B4%5Cpi-%5Cpi%7D%7B4%7D%5Cright%5D)
Hence, the exact value of given expression is .
Answer:
The statistical conclusion is:
a) Your results are significant; one's willingness to wear masks is not independent of one's age.
Step-by-step explanation:
From this experiment,
The null hypothesis is established as:
H 0 = one's willingness to wear masks is independent of one's age.
The alternate hypothesis is established as:
H 1 = one's willingness to wear masks is not independent of one's age.
In statistics, if the absolute value of the test statistic is greater than the critical value, we declare statistical significance and reject the null hypothesis.
Since the test statistic = 16.5, which is higher than the critical value of 7.82, this establishes statistical significance. Thus, the null hypothesis is rejected.
Therefore, the statistical conclusion is that one's willingness to wear masks is not independent of one's age.
Answer:
36 units
Step-by-step explanation:
If half of one of the 6 sections is three the the other half is equivalent so I multiplied 6×6 and it gave me 36 (units).
We need the picture. So do you. That's why it's printed right there.
