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3 years ago

Can someone pls help me solve thiss

Mathematics

1 answer:

Nikolay [14]3 years ago

3 0

Answer:

The value of x = 9

Step-by-step explanation:

Given the angles of the triangle

(13x+2)°

(5x-7)°

(3x-4)°

We know that the sum of angles of a triangle is 180°.

Therefore,

(13x+2)° + (5x-7)° + (3x-4)° = 180°

13x+2 + 5x-7 + 3x-4 = 180°

21x + 2 - 11 = 180°

21x - 9 = 180°

21x = 180° + 9

21x = 189

divide both side sby 21

21x/21 = 189/21

x = 9

Therefore, the value of x = 9

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3 years ago

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We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

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$s_A = \frac{1.79}{\sqrt{18}} = 0.4219$

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For the distribution of differences, the mean and the standard error are given by:

$\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76$

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The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

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$\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058$

$\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462$

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

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3 years ago

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sasho [114]

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