Find the equivalent fraction of 1/2
1 answer:
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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.
Answer:
Dimensions are 20 X 44 feet
Step-by-step explanation:
First we need to build two equations:
For area X times Y = 880
For Perimeter 2x + 2y = 128
Now we need to solve one so we can substitute it into the other:
2x + 2y = 128 becomes
2x = 128 - 2y and then
x = 64 - y We will substitute this into the are equation
(64 - y)y = 880
64y - = 880
-
factor out the negative
-(
Factor:
-(y - 20)(y - 44) = 0
y-20 = 0 and y - 44 = 0
y = 20 and y = 44
Plugging these in two both of our formulas works
20 X 44 = 880 for area
2(20) + 2 (44) = 128 for perimeter