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Hatshy [7]
3 years ago
12

Outliers: Need help Asap! 40 points! Which statement is true about this data set?

Mathematics
2 answers:
stiks02 [169]3 years ago
8 0

Answer:

A) 57

Step-by-step explanation:

The given data set is

43, 46, 48, 57, 42, 47, 48, 44, 46, 45, 48

Arrange the data in ascending order

.42, 43, 44, 45, 46, 46, 47, 48, 48, 48, 57

Divide the data in 4 equal parts.

(42, 43), 44, (45, 46), 46, (47, 48), 48, (48, 57)

The interquartile rage is Lower fence:Upper fence: If the data lie outside the lower and upper fence, then that element is known as outliers.

57 is an outlier because it is greater than the upper fence.

stiv31 [10]3 years ago
6 0

Answer:

<u>The data set's outlier is 57.</u>

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Question 2
lina2011 [118]

Answer:

<em>The firefighter should extend the ladder at 54° of elevation.</em>

Step-by-step explanation:

<u>Trigonometric Ratios</u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

<em>Tangent Ratio:</em>

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

The woman is trapped at 91 feet up from the ground, and the firetruck is 67 feet away from the building.

The wall, the ground, and the ladder form a right triangle, where θ is the horizontal angle of the ladder.

Being the height of the woman the opposite leg and the distance where the firetruck is parked, the adjacent leg:

\displaystyle \tan\theta=\frac{91}{67}=1.3582

The angle is calculated as the inverse tangent:

\theta=arctan(1.3582)\approx 54^\circ

The firefighter should extend the ladder at 54° of elevation.

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