Slope-intercept form is
, where m is the slope and b is the y-intercept.
Here, we first need to distribute the 1/3.
Next, we add 3 to both sides of the equation.
Y = 2m + p
12 = 2m + 2
10 = 2m
5 = m
The taxi cab traveled 5 miles.
Answer: False.
Values that are in common with both circles will be inside both circles. These values will be in the overlapping region of the two circles.
a. The standard error is equal to the standard deviation divided by the square root of the sample size:
SE = (23 ppm)/√18 ≈ 5.42 ppm
b. The t statistic is given by the difference between the true and sample means, divided by the standard error:
t = (192 ppm - 180 ppm)/SE ≈ 2.21
c. The p-value is approximately 0.0204.
d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.
e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.
<h3>
Answer: 4(x - 1)(x^2 + x + 1)</h3>
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Work Shown:
4x^3 - 4
4(x^3 - 1)
4(x - 1)(x^2 + x + 1)
In the last step, I used the difference of cubes factoring formula which is
a^3 - b^3 = (a - b)(a^2 + ab + b^2)