You are testing a claim that the standard deviation of calories consumed by adult males at a
1 answer:
Considering the hypothesis tested and the rejection of the null hypothesis, it is found that the final conclusion is that the standard deviation of calories consumed by adult males at a sports arena is less than 155 calories.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, it is tested if the standard deviation is of 155 calories, that is:
.
At the alternative hypothesis, it is tested if it is less than 155 calories, that is:
.
The null hypothesis is rejected, hence the final conclusion is that the standard deviation of calories consumed by adult males at a sports arena is less than 155 calories.
More can be learned about an hypothesis test at brainly.com/question/16313918
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For a better understanding of the problem I've built up two triangles from the given triangular shape. So these two triangles are similar. Therefore, we can solve this problem by using ratios and corresponding sides in this way:
But our goal is to find y. Let's call w the height of the small triangle, then:
Applying the concept of ratios again:
Right triangle: brainly.com/question/10684799
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Answer:
see the attachment
Step-by-step explanation:
1. Two angles that sum to 90° are <em>complementary</em>, whether they are adjacent or not. Angles LMN and NMP are also <em>adjacent</em>.
2. Vertical angles created by two distinct lines are <em>never adjacent</em>. The sides of the angles are created by the same lines, and the angles share a vertex, but there is no ray that is a side common to both angles.
3. Angle GMK is supplementary to angle JMG.
4. Vertical angles are congruent. See question 2.
5. See question 1.
