State if these 3 numbers can be the measures of the sides of a triangle.
2 answers:
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Let's say, the number is "a"
thus
cross-multiply and solve for "a"
thus
cross-multiply and solve for "a"
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
This can be easily solved, especially with a calculator.
With the calculator, you can find that is about 6.4807.
Multiply that by 2, you get about 13 inches.
If you can't use a calculator, then you can just estimate. Since we know that is 6 and
is 7,
is in between them, so you can just say somewhere around 6.5.
Multiply 2 * 6.5 and you get 13 inches.