Answer:
D. -2s
Step-by-step explanation:
s+s-4s
=1s+1s-4s
=(1+1-4)s
=-2s
X=1
solve for x by simplifying both sides
Answer:
-45 < x < 5 (see graph below)
Step-by-step explanation:
to isolate x by itself, subtract 20 from all three terms of the equation:
![(-25-20)](https://tex.z-dn.net/?f=%28-25-20%29%3Cx%2B%2820-20%29%3C%2825-20%29)
once you finish subtracting 20, x should be by itself, making the equation graphable:
![-45 < x < 5](https://tex.z-dn.net/?f=-45%20%3C%20x%20%3C%205)
since x is not equal to -45 or 25, the graph line endings have open circles.
Answer:
![df = n-1= 12-1=11](https://tex.z-dn.net/?f=%20df%20%3D%20n-1%3D%2012-1%3D11)
![p_v = P(t_{11}>2.14) =0.0278](https://tex.z-dn.net/?f=p_v%20%3D%20P%28t_%7B11%7D%3E2.14%29%20%3D0.0278)
Step-by-step explanation:
Data provided
represent the sample mean in mg per deciliter of cholesterol level
represent the sample standard deviation
sample size
represent the value that we want to test
t would represent the statistic (variable of interest)
represent the p value for the test (variable of interest)
System of hypothesis
We need to conduct a hypothesis in order to check if the mean is higher than 53 mg per deciliter, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Calculate the statistic
Replacing into the formula we got:
P-value
We need to find first the degrees of freedom:
![df = n-1= 12-1=11](https://tex.z-dn.net/?f=%20df%20%3D%20n-1%3D%2012-1%3D11)
The p value for this case since we have a right tailed test is:
![p_v = P(t_{11}>2.14) =0.0278](https://tex.z-dn.net/?f=p_v%20%3D%20P%28t_%7B11%7D%3E2.14%29%20%3D0.0278)