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Graph this compound inequality: 2.5 < x < 4.5
1 answer:
Answer:
Please find the attached the required inequality graph
Step-by-step explanation:
Given that inequality is 2.5 ≤ x ≤ 4.5, we have;
The region in the given inequality is the region between 2.5 and 4.5 inclusive
Therefore, to represent 2.5 ≤ x ≤ 4.5 on the number line, we have;
A closed circle (representing the less than or equal to inequality symbol, showing inclusiveness) at 2.5, another closed circle at 4.5 (representing the less than or equal to inequality symbol, showing inclusiveness) and the region between 4.5 and 2.5 shaded.
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Answer:
A)3.74
B)17.04
C)61.92
Step-by-step explanation:
The equation of the line of best fit:
Where x is time in hours
y = midterm score
a)For an increase of one hour in the time spent studying, what is the predicted increase in the midterm score?
General equation y = mx+c
where m is the slope .
On comparing m = 3.74
Slope is the rate of increase per hour
So, For an increase of one hour in the time spent studying, the predicted increase in the midterm score is 3.74
b)What is the predicted midterm score for a student who doesn't spend any time studying?
Substitute x = 0
y=3.74x+17.04
y=3.74(0)+17.04
y=17.04
c)What is the predicted midterm score for a student who studies for 12 hours?
Substitute x = 12
So,y=3.74x+17.04
y=3.74(12)+17.04
y=61.92