Answer:
9.44 x 10^4 in scientific notation
Step-by-step explanation:
The square root of 1764 using perfect factors is 42
<h3>How to determine the
square root using
perfect factors?</h3>
The number is given as:
1764
Rewrite as
x^2 = 1764
Express 1764 as the product of its factors
x^2 = 2 * 2 * 3 * 3 * 7 * 7
Express as squares
x^2 = 2^2 * 3^2 * 7^2
Take the square root of both sides
x = 2 * 3 * 7
Evaluate the product
x = 42
Hence, the square root of 1764 using perfect factors is 42
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Answer:

Step-by-step explanation:



The number of glasses is restricted to 44 cups. So the number of iced tea cups and the number of lemonade cups that she can serve is, maximum, 44. Then, if you call x the number of glasses of iced tea and call y the number of glasses of lemonade, you have that the total number of glasses (cups) is x + y. And <span>the equation that represents the number of glasses that she cacn serve is x + y = 44. You can place it in other equivalent ways, for example, solve for y: y = 44 - x. Those two equations are valid answers because they represent the same equation.</span>
Answer:

Step-by-step explanation:
Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is
where
and
are the sample proportion and sample size of the first sample, and
and
are the sample proportion and sample size of the second sample.
We see that
and
. We also know that a 98% confidence level corresponds to a critical value of
, so we can plug these values into the formula to get our desired confidence interval:

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}
The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.