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Gennadij [26K]
3 years ago
15

In triangle PQR, the angles are in the ratio 2 : 3 : 4. Find all the angles (urgent)

Mathematics
1 answer:
zvonat [6]3 years ago
7 0

Answer:

40°, 60° and 80°

Step-by-step explanation:

sum the parts of the ratio, 2 + 3 + 4 = 9 parts

Divide 180° ( sum of angles in a triangle) by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio , then

2 parts = 2 × 20° = 40°

3 parts = 3 × 20° = 60°

4 parts = 4 × 20° = 80°

The angles in the triangle are 40°, 60°, 80°

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<h3>What are the hypothesis tested?</h3>

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H_0: \mu_B - \mu_A \leq 0[qtex]At the alternative hypothesis, it is tested if the mean has decreased, that is:[tex]H_1: \mu_B - \mu_A > 0[qtex]What are the mean and the standard error for the distribution of differences?For each sample, they are given as follows:[tex]\mu_B = 170.44, s_B = \frac{29.275}{\sqrt{9}} = 9.7583.

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The test statistic is:

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In which \mu = 0 is the value tested at the null hypothesis.

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t = \frac{9.88 - 0}{11.66}

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Considering a right-tailed test with 9 + 9 - 2 = 16 df, with a standard significance level of 0.05, the critical value is t = 1.7459. Since t = 0.85 < 0.85, there is not enough evidence that the diet is helping people lose weight.

More can be learned about the t-distribution at brainly.com/question/13873630

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