A boat travels 102 miles in 5
1 answer:
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Answer:
a) A ∪ B = {2, 4, 5, 6}
b) A ∩ B = {6}
c) = {1, 3, 5}
Step-by-step explanation:
Set notation is used in math to list numbers, objects or outcomes.
It uses <u>curly brackets</u> called "braces". Objects placed within the braces are the elements of the set.
The listing method of <u>set notation</u> simply lists the numbers in the set.
The three dots "..." means it is infinite (goes on forever).
Given:
- A number cube with faces labeled 1 to 6.
Therefore the set of all possible outcomes is {1, 2, 3, 4, 5, 6}.
<u>Event A</u>
The number rolled is <u>greater than 4</u>.
Therefore, the set of outcomes for event A is {5, 6}.
<u>Event B</u>
The number rolled is <u>even</u>.
Therefore, the set of outcomes for event B is {2, 4, 6}.
<u>Part (a)</u>
Event "A or B" means the outcomes in A or B or both.
⇒ A ∪ B = {2, 4, 5, 6}
<u>Part (b)</u>
Event "A and B" means the outcomes in both A and B.
⇒ A ∩ B = {6}
<u>Part (c)</u>
The complement of event B means everything that is not in B.
<em> </em>{1, 3, 5}
Learn more about set notation here:
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