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iragen [17]
3 years ago
11

Recall that two angles are complementary if the sum of their measures is 90°. Find the measures of two complementary angles if o

ne angle is 6º more than three times the other angle. ​
Mathematics
1 answer:
nirvana33 [79]3 years ago
4 0

Answer:

The two angles are 69° and 21°.

Step-by-step explanation:

Write out the expression:

let x and y be two angles that are complementary and the sum of their measures is 90°

-> x° + y° = 90°

if one angle is 6º more than three times the other angle:

-> x° = 6° +3y°

Plug x = 6+3y into x° + y° = 90°

6° + 3y° + y° = 90°

Solve for y

4y° = 84°

y° = 21°

Plug y into x° + y° = 90°

x° + 21° = 90°

Solve for x°

x° = 90° - 21° = 69°

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Considering the dot plot, we have that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

<h3>What is a dot plot?</h3>

A dot plot is a graph shows the number of times each measure appears in the data-set.

From the plot given in this exercise, it is found that only 7 of the 25 measures are ratings of at most 6, that is, 6 is less than both the mean and the median of the distribution, hence it is not a good description of the center of this data set.

More can be learned about dot plots at brainly.com/question/24912483

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2 years ago
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Answer:

The correct option is (c) 13.277.

Step-by-step explanation:

The observed data is:

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The test statistic for the Goodness of fit test is:

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For <em>k</em> independent samples this test statistic follows a Chi-square distribution with degrees of freedom (<em>k</em> - 1).

The sample size in this case is, <em>k</em> = 5.

The degrees of freedom is, (<em>k</em> - 1) = 4.

The level of significance is, <em>α</em> = 0.01.

The critical value of the test is:

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