What is the unit price for the cans of lemonade at each of the stores
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2(4 - 2r) = -2(r + 5)
First, divide both sides by -2. / Your problem should look like:
Second, regroup your terms. / Your problem should look like:
Third, add 4 to both sides. / Your problem should look like:
Fourth, add r + 5 + 4 to get r + 9. / Your problem should look like:
Fifth, subtract r from both sides. / Your problem should look like:
Sixth, subtract 2r - r to get r. / Your problem should look like:
Answer: r = 9
First, divide both sides by -2. / Your problem should look like:
Second, regroup your terms. / Your problem should look like:
Third, add 4 to both sides. / Your problem should look like:
Fourth, add r + 5 + 4 to get r + 9. / Your problem should look like:
Fifth, subtract r from both sides. / Your problem should look like:
Sixth, subtract 2r - r to get r. / Your problem should look like:
Answer: r = 9
Given that in 2008 the Better Business Bureau settled 75% of complaints they received (USA Today,
March 2, 2009). Suppose you have been hired by the Better Business Bureau to investigate the
complaints they received this year involving new car dealers. You plan to select a sample of new
car dealer complaints to estimate the proportion of complaints the Better Business Bureau is
able to settle. Assume the population proportion of complaints settled for new car dealers is .75,
the same as the overall proportion of complaints settled in 2008.
Part a) :
Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).
Population proportion = 0.75
sample size. n = 450
Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0204.
Part b) :
Based upon a sample of 450 complaints, what is the probability that the sample <span>proportion will be within .04 of the population proportion (to 4 decimals)?
The probability </span><span>that the sample proportion will be within 0.04 of the population proportion</span> is given by:
Therefore, the probability that the sample <span>proportion will be within .04 of the population proportion is 0.9501.
Part C:
</span><span>Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).
</span><span>Population proportion = 0.75
sample size. n = 200
Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0306.
Part D):
Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?
</span><span><span>
The probability </span>that the sample proportion will be within 0.04 of the population proportion is given by:
Therefore, the probability that the sample <span>proportion will be within .04 of the population proportion is 0.8086.</span></span>
Part a) :
Suppose you select a sample of 450 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).
Population proportion = 0.75
sample size. n = 450
Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0204.
Part b) :
Based upon a sample of 450 complaints, what is the probability that the sample <span>proportion will be within .04 of the population proportion (to 4 decimals)?
The probability </span><span>that the sample proportion will be within 0.04 of the population proportion</span> is given by:
Therefore, the probability that the sample <span>proportion will be within .04 of the population proportion is 0.9501.
Part C:
</span><span>Suppose you select a sample of 200 complaints involving new car dealers. Show the sampling distribution of (to 4 decimals).
</span><span>Population proportion = 0.75
sample size. n = 200
Therefore, the sampling distribution has a proportion of 0.75 and a standard error of 0.0306.
Part D):
Based upon the smaller sample of only 200 complaints, what is the probability that the sample proportion will be within .04 of the population proportion (to 4 decimals)?
</span><span><span>
The probability </span>that the sample proportion will be within 0.04 of the population proportion is given by:
Therefore, the probability that the sample <span>proportion will be within .04 of the population proportion is 0.8086.</span></span>
Answer:
(x - 6)² + (y - 2)² = 128
Step-by-step explanation:
Given as the circle has center ( 6 , 2)
and it passes through points (-2 , -6)
Now , standard equation of circle is (x -a)² + (y- b)² = r² , where (a , b) is center and r is the radius .
Again from given center the circle equation is
(x- 6)² + (y- 2)² = r²
Now this circle passes through points (-2 , -6)
so, (-2 -6)² + (-6 -2)² = r²
so, 8² + 8² = r²
Or, 128 = r²
i.e Radius pf this circle = 8
Hence the circle equation formed is
(x- 6)² +( y-2)² = 128 Answer