1. 5:15 = 1/3
scale factor is 1/3going from bigger to smaller
2. 2/8 = 1/4
14 x 1/4 = 3.5
X = 3.5
The length of any two sides of a triangle must be larger than the remaining side, otherwise you won't have a connecting triangle.
So if AB is the largest side, then AC needs to be greater than 2. And if AC is the largest side, AC must be less than 8. Which means the answer is B.
Answer:
Acute angles are less than 90 degrees, obtuse angles are more than 90 degrees, and right angles are exactly 90 degrees.Step-by-step explanation:
Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
<h3>What are the hypothesis?</h3>
- At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

- At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

<h3>Test statistic</h3>
The <em>test statistic</em> is given by:

In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
For this problem, the parameters are:

The value of the <em>test statistic</em> is:



Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is
.
Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
To learn more about the z-distribution, you can take a look at brainly.com/question/16313918
The radius is 2.15
hope this helps