Which of the given lengths form a right triangle?
1 answer:
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Answer:
(a) Hence, the margin of error reported by The Marist Poll was correct.
(b) Based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65.
Step-by-step explanation:
We are given that the Marist Poll published a report stating that 66% of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age.
It was also reported that interviews were conducted on 1,018 American adults, and that the margin of error was 3% using a 95% confidence level.
(a) <u>Margin of error formula is given by;</u>
Margin of Error =
where, = level of significance = 1 - 0.95 = 0.05 or 5%
Standard of error =
Also, = sample proportion of adults nationally think licensed drivers should be required to retake their road test once they reach 65 years of age = 66%
n = sample of American adults = 1.018
The critical value of z for level of significance of 2.5% is 1.96.
So, <em>Margin of Error </em>=
= = 0.03 or 3%
Hence, the margin of error reported by The Marist Poll was correct.
(b) Now, the pivotal quantity for 95% confidence interval for the population proportion who think that licensed drivers should be required to retake their road test once they turn 65 is given by;
P.Q. = ~ N(0,1)
So, <u>95% confidence interval for p</u> =
=
= [0.66 - 0.03 , 0.66 + 0.03]
= [0.63 , 0.69]
Hence, based on a 95% confidence interval the poll does not provide convincing evidence that more than 70% of the population think that licensed drivers should be required to retake their road test once they turn 65 because the interval does not include the value of 70% or more.
Answer:
The quotient is .
Step-by-step explanation:
We do this as the simple division that we do with the integers.Find a quotient that is same as the first on multiplying with the divisor term of the dividend.
Divisor = x+1.
Dividend = 2x²-3x-5
We found that on multiplying 2x with x+1 we will get 2x²+2x and then subtracting it from dividend we will get -5x-5. We found that only multiplying the divisor with -5 we will get -5x-5 and on subtracting it from the dividend the the remainder will be 0. Hence the quotient is 2x-5.