The width of the rectangle is 5x-4. The length of the rectangle is 5
1 answer:
Answer:
The area of the rectangle A = 25x² - 20x
Step-by-step explanation:
Given
The width of the rectangle = w = 5x - 4
The length of a rectangle = l = 5x
To determine
The area of the rectangle = ?
Using the Formula to determine the area of the rectangle
substitute w = 5x - 4 and l = 5x in the formula
Apply distributive law: a(b-c) = ab - ac
as 5x(5x) = 25x² and 4(5x) = 20x, so
Therefore, the area of the rectangle A = 25x² - 20x
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Using the z-distribution, it is found that the 95% confidence interval is (0.46, 0.526), and it does not provide strong evidence against that belief.
<h3>What is a confidence interval of proportions?</h3>A confidence interval of proportions is given by:
In which:
is the sample proportion.
- z is the critical value.
- n is the sample size.
In this problem, we have a 95% confidence level, hence, z is the value of Z that has a p-value of
, so the critical value is z = 1.96.
We have that a random sample of 864 births in a state included 426 boys, hence the parameters are given by:
Then, the bounds of the interval are given by:
The 95% confidence interval estimate of the proportion of boys in all births is (0.46, 0.526). Since the interval contains 0.506, it does not provide strong evidence against that belief.
More can be learned about the z-distribution at brainly.com/question/25890103