Given that,
the two numbers are consecutive
The two numbers are
x and x + 1
Sum of the numbers = 81
x + (x + 1) = 81
x + x + 1 = 81
2x = 81 - 1
2x = 80
x = 80/2
x = 40
Therefore, <em>the two numbers are</em> x = 40 and x + 1 = 41
51°
Angles that are opposite to another angle are equal
Answer:
$30
Step-by-step explanation:
Divide the cost ($75) by the yards (2 1/2) to get $30 per yard.
Using the z-distribution, it is found that the 90% confidence interval is given by: (0.6350, 0.6984).
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 90% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 1.645.
The sample size and the estimate are given by:

Hence, the bounds of the interval are given by:


The 90% confidence interval is given by: (0.6350, 0.6984).
More can be learned about the z-distribution at brainly.com/question/25890103
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Answer:
A paper entitling you to 10 percent off of a meal in a restaurant is an example of a coupon.