Answer:
8x+10y
Step-by-step explanation:
What you do first is you need to subtract -2y from 9y to get 7y.
So you have (12x+7y)-(4x-3y). The negative sign needs to be added into the problem so it will be (12x+7y)+(-4x+3y). You will then add and minus them together to get 8x+10y.
Answer:
Step-by-step explanation:
Information given
represent the sample mean for the content of active ingredient
represent the sample standard deviation for the sample
sample size
represent the value that we want to test
t would represent the statistic
represent the p value for the test
System of hypothesis
We need to conduct a hypothesis in order to check if the true mean for the active agent is at least 20 mg, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic would be:
(1)
Now we can calculate the statistic:
P value
The degrees of freedom are calculated like this:
Since is a one left tailed test the p value would be:
Answer:
g(f(x))=x^2 + 14x + 48
Step-by-step explanation:
you insert (x+7) into every x in the g(x) equation, so g(x)=(x+7)^2 - 1. then you simplify it by doing (x+7)(x+7) which gets you x^2 + 14x + 49. then you subtract the 1 from the equation to get g(f(x))=x^2 + 14x + 48.
You are adding 6 to each number. (N-1)+6, I guess
He worked 36 hours (9.57), and anything over that was over pay (14.36)
36 * 9.57 = 344.52
So, working his normal hours he got $344.52.
416.32 - 344.52 = 71.80
71.80/14.36 = 5
Therefore, he worked 5 hours of overtime.