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Marina86 [1]
3 years ago
5

Calculate the slant height for the given cone.Round to the nearest tenth. Diameter =8cm

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
3 0

Answer:

1) The slant height = 9.8 cm ⇒ (C)

2) The slant height = 11.4 cm ⇒ (D)

Step-by-step explanation:

1) ∵ The slant height of the cone = √[(radius)² + (height)²]

∵ Diameter = 8 cm

∴ Radius = 4 cm

∵ Height = 9 cm

∴ Slant height = √(4² + 9²) = √97 = 9.8 cm ⇒ (C)

2) ∵ The slant height of the cone = √[(radius)² + (height)²]

∵ Diameter = 18 cm

∴ Radius = 9 cm

∵ Height = 7 cm

∴ Slant height = √(9² + 7²) = √130 = 11.4 cm ⇒ (D)

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Answer:

1) The median weight for shelter A is greater than that for shelter B.

True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.

4) The data for shelter B are a symmetric data set.

True, the median is exactly 2 pounds away from each quartile which means it is symmetric.

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.

Step-by-step explanation:

We are given two box-plots, a box plot basically shows 5 statistical characteristics of a data set and they are  

1. minimum value  

2. Lower quartile  

3. Median value  

4. Upper quartile  

5. Maximum value  

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The whiskers range from 8 to 30

Which means that the range is = 30 - 8 = 22

The box ranges from 17 to 28

Which means that the interquartile range is = 28 - 17 = 11

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The median is not equal distance away from each quartile which means that the box-plot is not symmetric.

A line divides the box at 21

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The whiskers range from 10 to 28

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The median is exactly 2 pounds away from each quartile which means it is symmetric.

A line divides the box at 18

Which means that the median is = 18

Which is true of the data in the box plots?

1) The median weight for shelter A is greater than that for shelter B.

True, the median weight for shelter A is 21 pounds as compared to the 18 pounds median weight for shelter B.

2) The median weight for shelter B is greater than that for shelter A.

False

3) The data for shelter A are a symmetric data set.

False

4) The data for shelter B are a symmetric data set.

True

5) The interquartile range of shelter A is greater than the interquartile range of shelter B.

True, the interquartile range of shelter A is 11 pounds as compared to the 4 pounds interquartile range of shelter B.

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