Answer: Choice B) -3/4
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Work Shown
Slope Formula
m = (y2-y1)/(x2-x1)
m = (6-3)/(-2-2)
m = (3)/(-4)
m = -3/4
Basically what you do is subtract the y coordinates (6 and 3) and then do the same for the x coordinates (-2 and 2) in the same order. After subtracting, you divide the differences. Reduce the fraction if possible.
The slope of -3/4 means each time we go down 3, we move to the right 4 units. This line is going downhill as you read it from left to right.
Answer:
Graph C
Step-by-step explanation:
Hi there!
The given linear equations are organized in slope-intercept form:
where <em>m</em> is the slope of the line and <em>b</em> is the y-intercept, or the value of y when the line crosses the y-axis.
y = 2x + 4
Here, the <em>b</em> value is 4. Therefore, the y-intercept of this line is 4.
y = -3x - 2
Here, the <em>b</em> value is -2. Therefore, the y-intercept of this line is -2.
To identify the graph that models these equations, we just have to look for the graph where the lines cross the y-axis at 4 and -2.
The only graph that does this is graph C.
I hope this helps!
Xy is the GCF of these expressions
10 • 6 = 60
10 + 10 + 10 + 10 + 10 + 10
\ / \ / \ /
20 + 20 + 20
\ / |
40 + 20 = 60
Answer:
The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 20 - 1 = 19
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 19 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.7291
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample. For this question, we have
. So



The margin of error of the 90% confidence interval of a student's average typing speed is of 1.933 wpm.