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Greeley [361]
3 years ago
8

Which of the following statements justifies why the triangle shown below is

Mathematics
2 answers:
Naddik [55]3 years ago
5 0

Answer:

Option A

Step-by-step explanation:

Given in the picture is a triangle ABC with three sides given as 6,11 and 15

By the picture itself we can say that the largest angle is obtuse and hence the triangle is not right angled.

Using the converse of Pythagorean theorem that in a right triangle sides square add upto square of hypotenuse let us check whether this applies to this triangle.

Small sides are 6 and 11

Squaring and adding gives

6^2+11^2 = 187

Large side = 11 and square is

15^2 =225 > 121

Hence this is not a right triangle but obtuse

So option A is right

LenKa [72]3 years ago
4 0

Answer:

A) 6^2 + 11^2 is not equal to 15^2

Step-by-step explanation:

To find out if a right triangle is a right triangle you have to use the Pythagorean Theorem, like it is used in A.

6^2 + 11^2 = 15^2

36 + 121 = 225

157 does not equal 225

So this is not a right triangle

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Colton makes the claim to his classmates that less than 50% of newborn babies born this year in his state are boys. To prove thi
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Null hypothesis:p \leq 0.5  

Alternative hypothesis:p > 0.5  

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Information given

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z would represent the statistic

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We want to check if the true proportion of boys is less than 50% then the system of hypothesis are .:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

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