Which ordered pairs are in the solution set of the system of linear inequalities?y2-~xy<%x+1O (5,-2), (3, 1), (-4, 2)O (5, -2
1 answer:
Ok, so:
We have the following system of linear inequalities:
To solve this system, the answer is really simple:
"Solving" systems of linear inequalities means "graphing each individual inequality, and then finding the overlaps of the various solutions". So, we're going to graph each inequality, and then find the overlapping portions of the solution regions.
In this case, we got the graph, so, we're going to analyze it.
We have these two lines:
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It's an equilateral triangle, therefore
AB = BC = BA
We have the equation:
The sign at the end changes because both sides of the equation are being divided by a negative number.
Answer:
a) (1215, 1297)
b) (1174, 1338)
c) (1133, 1379)
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 1256
Standard Deviation, σ = 41
Empirical Rule:
- Also known as 68-95-99.7 rule.
- It states that almost all the data lies within three standard deviation for a normal data.
- About 68% of data lies within 1 standard deviation of mean.
- About 95% of data lies within two standard deviation of mean.
- About 99.7% of data lies within 3 standard deviation of mean.
a) range of years centered about the mean in which about 68% of the data lies
68% of data will be found between 1215 years and 1297 years.
b) range of years centered about the mean in which about 95% of the data lies
95% of data will be found between 1174 years and 1338 years.
c) range of years centered about the mean in which about all of the data lies
All of data will be found between 1133 years and 1379 years.