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3 years ago

Does 20, 40, 30 form a pythagorean triple

Mathematics

1 answer:

Tatiana [17]3 years ago

6 0

Answer:

Step-by-step explanation:

If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where

c^2=a^2+b^2

In this case, this isn’t even a right triangle as

20^2+30^2=40^2

400+900=1600

1300!=1600

because 1300 does not equal 1600 this is not a Pythagorean Triple.

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The difference between twice a number and 16 is 30. Which math statement is an equation that represents this relationship?

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Identify all the coefficients of the expression 2+6a

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Answer:

(A) 15 centimeters

Step-by-step explanation:

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6 0

3 years ago

An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such tha

natita [175]

Answer:

Step-by-step explanation:

Given that:

Population Mean = 7.1

sample size = 24

Sample mean = 7.3

Standard deviation = 1.0

Level of significance = 0.025

The null hypothesis:

$H_o: \mu = 7.1$

The alternative hypothesis:

$H_a: \mu > 7.1$

This test is right-tailed.

$degree \ of \ freedom= n - 1 \\ \\ degree \ of \ freedom = 24 - 1 \\ \\ degree \ of \ freedom = 23$

Rejection region: at ∝ = 0.025 and df of 23, the critical value of the right-tailed test $t_c = 2.069$

The test statistics can be computed as:

$t = \dfrac{ \hat X - \mu_o}{\dfrac{s}{\sqrt{n}}}$

$t = \dfrac{ 7.3-7.1}{\dfrac{1}{\sqrt{24}}}$

$t = \dfrac{0.2}{0.204}$

t = 0.980

Decision rule:

Since the calculated value of t is lesser than, i.e t = 0.980 < $t_c = 2.069$ , then we do not reject the null hypothesis.

Conclusion:

We conclude that there is insufficient evidence to claim that the population mean is greater than 7.1 at 0.025 level of significance.

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3 years ago