Answer:
With 95% confidence when n equals 44, the population mean is between a lower limit of 33.96 and an upper limit of 40.04
Step-by-step explanation:
Confidence Interval = mean + or - Error margin (E)
mean = 37
sd = 10
n = 44
degree of freedom = n - 1 = 44 - 1 = 43
t-value corresponding to 43 degrees of freedom and 95% confidence level is 2.0165
E = t × sd/√n = 2.0165×10/√44 = 3.04
Lower limit = mean - E = 37 - 3.04 = 33.96
Upper limit = mean + E = 37 + 3.04 = 40.04
95% confidence interval is between 33.96 and 40.04
Answer: 
Step-by-step explanation:
1. Substitute 
into first equation and solve for "x" in order to find the x-intercept of the first line:
2. Substitute 
into the first equation and solve for "y" in order to find the y-intercept of the first line:
Knowing that first line passes through the points 
and 
, you can graph it.
3. Substitute into second equation and solve for "x" in order to find the x-intercept:
4. Substitute into the second equation and solve for "y" in order to find the y-intercept of the second line:
Knowing that second line passes through the points 
and 
, you can graph it.
The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:
