Given f(x)= x3 and g(x) = 2x + 7, express (fºg)(x)'as a function of x.
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Ana is traveling North America, she can exchange for 150 Canadian dollars, 2500 pesos.
<h3>What do you mean Canadian dollars?</h3>Canada's official currency is the Canadian dollar. There is no standard disambiguating form, nevertheless, prominent style guides frequently recommend abbreviation Can$ to distinguish it from other dollar-denominated currencies. It is abbreviated with dollar sign $. There are 100 cents (¢) in it.
Due to the common loon depicted on its reverse, the dollar coin and occasionally the money itself are referred to as "loonies" by English-speaking Canadians, currency dealers, and analysts.
The Canadian dollar ranks behind the U.S. dollar, the euro, the yen, and sterling as the fifth most widely held reserve currency in the world, making up around 2% of all reserves. Because of Canada's relatively stable economy, strong sovereign position, and stability of its judicial and political systems, the Canadian dollar is favored by central banks.
5 pesos = 0.3 Canadian dollars
5\0.3 pesos = 1 Canadian dollars
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Answer:
a. The smaller the sample size, the smaller the margin of error.
False if we see the value for the sample size is on the denominator and if we decrease the value of n then increase the value for the margin of error since the margin of error and the sample size are inversely proportional, with the estimated proportion and the confidence level fixed values.
b. If the margin of error is 0.05 and the observed proportion of red chips is 0.45, then the true population proportion is likely to be between 0.40 and 0.50.
Correct. The confidence interval for the population proportion is given by:
Or equivalently:
And if we replace on this case we got:
So then the true proportion is between 0.4 and 0.5 for this case.
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
The population proportion have the following distribution
The margin of error for the proportion interval is given by this formula:
(a)
Now if we analyze the statements one by one we have this:
a. The smaller the sample size, the smaller the margin of error.
False if we see the value for the sample size is on the denominator and if we decrease the value of n then increase the value for the margin of error since the margin of error and the sample size are inversely proportional, with the estimated proportion and the confidence level fixed values.
b. If the margin of error is 0.05 and the observed proportion of red chips is 0.45, then the true population proportion is likely to be between 0.40 and 0.50.
Correct. The confidence interval for the population proportion is given by:
Or equivalently:
And if we replace on this case we got:
So then the true proportion is between 0.4 and 0.5 for this case.