The graph of the given system of inequalities can be seen at the end of the answer.
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How to get the graph of the system of inequalities?</h3>
Here we have the system of inequalities:
x + 3y > -3
y < 2x + 1
first, we can write both of these in the form of a line equation in the slope-intercept form.
y > (-3 - x)/3 = -1 - (1/3)*x
y < 2x + 1.
To graph this, we first need to draw the two lines as dashed lines (because the points on the lines are not solutions).
Then for the line:
y = -(1/3)*x - 1 we need to shade the region above the line (because the symbol > is used).
For the line:
y = 2x + 1
We need to shade the region below the line, because the symbol used is <.
Then the graph of the system of inequalities is the one you can see below. The solutions of the system are the ones where the two shaded regions intercept.
If you want to learn more about systems of inequalities:
brainly.com/question/9774970
#SPJ1
Find the difference in elevations:
8720 - 6350 = 2370 feet.
Difference in mile markers: 12-7 = 5
Average change = feet / markers
2370/5 = 474
The answer is 474 feet
Answer:
The answer is no.
Step-by-step explanation:
The questions does no specify how many people are watching the movies each week.
Hoped this helped you out a bit! :)
Answer:
The first quartile of the distribution of gas mileage is 19.6925 mpg.
Step-by-step explanation:
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:

What is the first quartile of the distribution of gas mileage?
The first quartile has a proportion of 0.25. So this is the value of X when Z has a pvalue of 0.25. It happens between Z = -0.67 and Z = -0.68, so i am going to use 
So




The first quartile of the distribution of gas mileage is 19.6925 mpg.
If you only have one line, then both systems are equal to each other. For each x+y=2 and y+x=2 has the solution that are on the same line.