Describe how to simplify the expression 3^-6/3^-4
2 answers:
Answer:
The correct option is d. To simplify the given expression we should keep the base the same and then subtract the exponents.
Step-by-step explanation:
The given expression is
In the above expression we have common base 3 but the exponents are different.
According to the rule of exponent, if the numerator and denominator have same base and different exponent, then the base remains the same and the exponent of denominator subtracted from exponent of numerator.
Use this rule in the given expression.
Therefore the correct option is d.
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Answer:
a) Statistic.
b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Step-by-step explanation:
a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.
b) We can use the statistic to estimate a confidence interval for the parameter of the population.
The standard error for the proportion is calculated as:
The margin of error is 0.01. We can use this value to determine the level of confidence that represents.
The formula for the margin of error is:
This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.
The interval for this margin of error is:
Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
