Alice has a total of 12 dimes and nickels. She has 2 more nickels than dimes. Which equation represents the given problem situat
2 answers:
Answer: The correct option is
(A) where c is the number of dimes.
Step-by-step explanation: Given that Alice has a total of 12 dimes and nickels and she has 2 more nickels than dimes.
We are to select the correct equation that represents the given problem situation.
Let c represents the number of dimes. Then, the number of nickels will be (c + 2).
Since there are total 12 coins, so the required equation is given by
Thus, the required equation is
where c is the number of dimes.
Option (A) is CORRECT.
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Answer:
a) The percentage of households in the town with three or more largescreen TVs is estimated as :
The best estimation for the population proportion is :
And that represent the 1.4%.
b) And the 95% confidence interval would be given (0.00370;0.0243).
And the % would be between 0.37% and 2.43%.
Step-by-step explanation:
Data given and notation
n=500 represent the random sample taken
X=7 represent the households with three or more large-screen TVs
estimated proportion of households with three or more large-screen TVs
represent the significance level (no given, but is assumed)
z would represent the statistic (variable of interest)
p= population proportion of households with three or more large-screen TVs
Part a
The percentage of households in the town with three or more largescreen TVs is estimated as :
The best estimation for the population proportion is :
And that represent the 1.4%.
Part b
Yes is possible. We hav that and
so we have the assumption of normality to find the interval.
The confidence interval would be given by this formula
For the 95% confidence interval the value of and
, with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the 95% confidence interval would be given (0.00370;0.0243).
And the % would be between 0.37% and 2.43%.