S squared where s is the edge length
Answer: 0.8461
Step-by-step explanation:
Let p be the proportion of residents are against the increase of taxes to fund alternatives to drug addiction treatment.
As per given , we have p=0.40
A random sample is taken with size : n= 400
Expecting sample proportion : 
Now , the probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed will be :

![=P(z>\dfrac{0.375-0.40}{\sqrt{\dfrac{0.40(0.60)}{400}}})\ \ [\because\ z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}]](https://tex.z-dn.net/?f=%3DP%28z%3E%5Cdfrac%7B0.375-0.40%7D%7B%5Csqrt%7B%5Cdfrac%7B0.40%280.60%29%7D%7B400%7D%7D%7D%29%5C%20%5C%20%5B%5Cbecause%5C%20z%3D%5Cdfrac%7B%5Chat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cdfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D%5D)

[By z-table]
Hence, the approximate probability that more than 150 of the residents surveyed will be against increasing taxes if a random sample of 400 residents are surveyed is 0.8461 .
The answer is B,because the probability of getting a 2 is 1/6, and the probability of getting and number greater than 5 is 1/6 too, so add 1/6 to 1/6 to get 2/6 or 1/3.
Slope: -0.75, equation of the line: 
Step-by-step explanation:
The equation of a line in the slope-intercept form is

where
m is the slope
are the coordinates of a point on the line
In this problem, we have:

We also know that the line has x-intercept at x = -6: so, it passes through the point

Using this information, we can find the slope of the line:

Therefore, the equation of the line is

Learn more about slope of a line:
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Answer:
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Step-by-step explanation:
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