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4 years ago

Which set of side lengths forms a right triangle??

Mathematics

2 answers:

Nostrana [21]4 years ago

8 0

If a^2 + b^2 =c^2, then the triangle is a right triangle

2^2 + 3^2 ??=?? 13^2
4 + 9 ??=?? 169
13 ??=?? 169 FALSE

4^2 + 6^2 ??=??10^2
16 + 36 ??=?? 100
52 ??=?? 100 FALSE

9^2 + 12^2 ??=?? 18^2
81 + 144 ??=?? 324
225 ??=?? 324 FALSE

15^2 + 36^2 ??=?? 39^2
225 + 1296 ??=?? 1521
1521 ??=?? 1521 TRUE 15, 36, 39

OlgaM077 [116]4 years ago

6 0

The answer is D. 15, 36, 39.

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<h2>Answer with explanation:</h2>

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As per question ,

Null hypothesis : $\mu\geq8.00$

Alternative hypothesis : $\mu$ , It means the test is a one-tailed t-test. ( we use t-test when population standard deviation is unknown.)

Test statistic:

$t_{stat}=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}\\\\=\dfrac{7.58-8.00}{\dfrac{1.93}{\sqrt{189}}}=-2.99$

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Conclusion : We support the claim at 5% significance that t the population mean of such ratings is less than 8.00.

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4 years ago

A line passes through the point (2 comma negative 2 comma 10 ), and is parallel to the vector 9 Bold i plus 7 Bold j plus 10 Bo

lyudmila [28]

Title:

<h2>The standard parametric equation for the line is $\frac{x - 2}{9} = \frac{y + 2}{7} = \frac{z - 10}{10}$ .</h2>

Step-by-step explanation:

The standard parametric equation for a line generally represented as $\frac{x - a}{l} = \frac{y - b}{m} = \frac{z - c}{n}$ ; where (a, b, c) is the point that the line passes through and (l, m, n) is the direction vector of the line.

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Hence, here (a, b, c) ≡ (2, -2, 10).

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FromTheMoon [43]

<em>Complete Question:</em>

<em>A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled, what is the probability of rolling a number greater than 10?</em>

Answer:

$P(T) = \frac{1}{6}$