Since none of these are like terms, none of these could be added together. All you need to do is to order these by alphabetical order. Therefore, the simplified form of this expression is an+bn+7a+7b
SIN(x) = .7547
X = INVERSE-SIN(.7547)
X = 49.0 degrees
Answer:
6,820 dollars
Step-by-step explanation:
multiple 0.62 times 11,000
Answer:
a)
b)The p value for this case can be founded like this:
![p_v = 2*P(t_{8} >36.43) = 3.53*10^{-10}](https://tex.z-dn.net/?f=%20p_v%20%3D%202%2AP%28t_%7B8%7D%20%3E36.43%29%20%3D%203.53%2A10%5E%7B-10%7D)
Step-by-step explanation:
We have the following data given:
Number of items (x): 40 30 70 90 50 60 70 40 80 70
Labor (hours) (y): 82 60 139 180 99 119 140 73 157 146
And in order to calculate the correlation coefficient we can use this formula:
For our case we have this:
n=10
So then the correlation coefficient would be r =0.997
Part a
In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:
Null hypothesis:
Alternative hypothesis:
The statistic is gven by:
And is distributed with n-2 degrees of freedom. df=n-2=10-2=8
Part b
The p value for this case can be founded like this:
![p_v = 2*P(t_{8} >36.43) = 3.53*10^{-10}](https://tex.z-dn.net/?f=%20p_v%20%3D%202%2AP%28t_%7B8%7D%20%3E36.43%29%20%3D%203.53%2A10%5E%7B-10%7D)
Is a very low value so we have enough evidence to reject the null hypothesis.