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Nikolay [14]
2 years ago
12

I’m really struggling ,please help!!!!

Mathematics
2 answers:
borishaifa [10]2 years ago
7 0

Answer:

x = 16°

Step-by-step explanation:

The triangles are approximately congruent

90 + 66 = 156

180 - 156 = 24

(x + 8) = 24

x = 16°

<u>check</u>

(16 + 8) = 24

90 + 66 + 24 = 180

leva [86]2 years ago
5 0

Answer: x=16

Explanation:

The triangles shown are congruent and both of the triangles should have the sum of the angles as 180°. The equation should be (x+8)+66+90=180. Add the like terms to result with x+164=180. Subtract 156 to both sides to result with x=16.

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Below are survival times (in days) of 13 guinea pigs that were injected with a bacterial infection in a medical study:
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Outliers are data that are relatively far from other data elements.

The dataset has an outlier and the outlier is 120

The dataset is given as:

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Sort the dataset in ascending order

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<h3>The lower quartile (Q1)</h3>

The Q1 is then calculated as:

Q1 = \frac{N +1}{4}th

So, we have:

Q1 = \frac{13 +1}{4}th

Q1 = \frac{14}{4}th

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Q1 = \frac{1}{2} \times (84 + 91)

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<h3>The upper quartile (Q3)</h3>

The Q3 is then calculated as:

Q3 =  3 \times \frac{N +1}{4}th

So, we have:

Q3 =  3 \times \frac{13 +1}{4}th

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This is the average of the 10th and the 11th element.

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<h3>The interquartile range (IQR)</h3>

The IQR is then calculated as:

IQR = Q_3 -Q_1

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IQR(1.5) = 12 \times 1.5

IQR(1.5) = 18

<h3>The outlier range</h3>

The lower and the upper outlier range are calculated as follows:

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Upper = 99.5 + 18

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Hence, the dataset has an outlier and the outlier is 120

Read more about outliers at:

brainly.com/question/9933184

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