Step-by-step explanation:
Points are (8,5) and (-12,-9)
The equation of a line passing through two points is given by :
or
But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.
Answer:
Step-by-step explanation:
a) Sample statistics are used to estimate population value. Since 48% is a sample proportion, therefore, it is a sample statistic.
b) For 95% confidence level, z* = 1.96.
\hat{p}\pm z^* \sqrt{\frac{\hat{p}(1-\hat{p})}{n}}= 0.61\pm 0.61\sqrt{\frac{0.61(1-0.61)}{1578}}=0.61\pm 0.024 \ or (0.586, 0.634).
We are 95% confident that the true proportion of US residents who think marijuana should be made legal lies between 58.6% and 63.4%.
c)
\\np=1578(0.61)=962.58
\\n(1-p)=1578(1-0.61)=615.42
Since both np and n(1-p), are at least 10, the normal model is a good approximation for these data.
d) As the lower limit of confidence interval is less than 0.5, less than 50% population is also a plausible value of true proportion. This means the statement "Majority of Americans think marijuana should be legalized" is not justified.
Answer:
The correct answers are Blue: 
square units
; Green: 
square units; and Yes the sum converges.
Step-by-step explanation:
Area of the largest triangle is 1 square unit.
The area of the triangle which are colored and follow a geometric sequence with the common ratio being 
.
Area of the not shaded triangle is given by 1 square unit.
Area of the orange triangle is given by 1 × = square units.
Area of the blue triangle is given by × = square units.
Area of the green triangle is given by × = square units.
If the pattern continues definitely then it becomes an infinite geometric progression series with common ratio . And thus the sum of area coverges as the ratio lies between -1 and 1.
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