Using the z-distribution, as we are working with a proportion, it is found that the margin of error for the 90% confidence interval is of 0.0524 = 5.24%.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:
In which:
is the sample proportion.
The margin of error is given by:
In this problem, the critical value is given as z = 1.645, and since 26 out of 80 students said they would be willing to pay extra:
Then, the <em>margin of error</em> is of:
More can be learned about the z-distribution at brainly.com/question/25890103
Angles:
2 acute angles and 2 obtuse angles
Sides:
2 pairs pf parallel sides
Total number of balls = 50
Balls numbered as multiple of 10 = 5
Balls with red dot on them = 6
Balls numbered as multiple of 10 and having red dot on them = 1 (i.e. Ball with number 40 on it)
Probability of Ball being numbered as multiple of 10 = P(T) = 5/50 = 1/10
Probability of Ball being marked by the dot = P(D) = 6/50 = 3/25
Probability of Ball being numbered as multiple of 10 and having a red dot on it = P (T ∩ D) = 1/50
The "or" ,"union" of two events can be expressed as:
P(T ∪ D) = P(T) + P(D) - P (T ∩ D)
Using the values, we get:
P(T ∪ D) =
Thus, the probability that the ball is numbered with a multiple of 10 or has a red dot is 1/5 or 0.2
Answer and work in this picture:
It might be D.Given any two points A and B, there is exactly one line AB that passes through them. hope that help...
