We would know if a system is consistent, inconsistent, or coincident depending on the number of solutions it has. If it has only one solution, the system is said to be consistent. If it has none, the system is inconsistent; and if the system has an infinite number of solutions, it is said to be consistent and coincident.
Let's solve the system to know how many solutions it has.
Notice that dividing the second equation by 2 would yield the exact same equation as 1. This would therefore allow us to conclude that AN INFINITE NUMBER of pairs of (x,y) coordinates would satisfy the system. Thus, the system is said to be
consistent and coincident.
Answer:
B) 2n + 1
Step-by-step explanation:
Each term increases by 2 units so the common difference is 2. Then plug in 1 into the equations that have a slope of 2 and see if you get 3 out. You do for 2n + 1.
Answer:
A sample size of 1031 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of , we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is of:
37% of freshmen do not visit their counselors regularly.
This means that
98% confidence level
So , z is the value of Z that has a pvalue of , so .
You would like to be 98% confident that your estimate is within 3.5% of the true population proportion. How large of a sample size is required?
A sample size of n is required.
n is found when M = 0.035. So
Rounding up:
A sample size of 1031 is required.
All of the centra angles in a regular polygon must add up to 360 degrees. Also, because you're told that it is a regular polygon, the "regular" indicates that all of the central angles will be the same. Divide 360 degrees by 18 degrees to get the number of central angles, which is the same as the number of sides. 360/18 = 20. Therefore, the polygon has 20 sides. Hope that helps!