Which of the following could be the graph of the line y=-3x-2?
2 answers:
Answer:
Graph in picture. I hope it helps.
Step-by-step explanation:
y=mx+b is slope-intercept form of a line with slope,m, and y-intercept ,b.
y=-3x-2 is in the form y=mx+b where m=-3 and b=-2.
So the slope is -3 and the y-intercept is -2.
Since the slope is negative, we are looking for a line that is decreasing (left to right).
Since the y-intercept is negative, we are looking for a graph that intersects the y-axis below the x-axis.
Let's look for more details.
So you are looking for a graph that goes through -2 on the y-axis.
From there you are looking for another point on the line that is 3 units down and 1 unit right since the slope is -3 or -3/1.
(Slope is rise/run).
I will draw a graph of what we are looking for.
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Answer: a.) $50188 to $57812
Step-by-step explanation: <u>Confidence</u> <u>Interval</u> (CI) is an interval of values in which we are confident the true mean is in.
The interval is calculated as
x ±
a. For a 95% CI, z-value is 1.96.
Solving:
54,000 ±
54,000 ±
54,000 ± 1.96*1732.102
54,000 ± 3395
This means the interval is
50605 < μ < 57395
<u>With a 95% confidence interval, the mean starting salary of college graduates is between 50605 and 57395 or </u><u>from 50188 to 57812$.</u>
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b. The mean starting salary for college students in 2017 is $50,516, which is in the confidence interval. Therefore, since we 95% sure the real mean is between 50188 and 57812, there was no significant change since 2017.