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antoniya [11.8K]
3 years ago
8

What is the nearest perimeter of rectangle ABCD, to the nearest tenth?

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
5 0

Answer:  B

Step-by-step explanation:

Perimeter = 2(length+width)

 'CD' = 20×cos(30) = 17.3205

width 'AD' = 20×cos(60) = 10

Perimeter = 2(17.3205+10)

= 2(27.3205)

= 54.641 =54.6

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3 years ago
The Environmental Protection Agency records data on the fuel economy of many different makes of cars. Data on the mileage of 20
artcher [175]

Answer:

A) 8.5 miles per gallon

Step-by-step explanation:

Given

x = \{12\ 13\ 15\ 16\ 16\ 17\ 18\ 18\ 19\ 19\ 20\ 20\ 22\ 23\ 24\ 26\ 26\ 27\ 27\ 29\}

n = 20

Required

The IQR

This is calculated as:

IQR = Q_3 - Q_1

Calculate Q_1

Q_1 = \frac{1}{4}(n + 1)th

Q_1 = \frac{1}{4}(20 + 1)th

Q_1 = \frac{1}{4}(21)th

Remove bracket

Q_1 = 5.25th

This means that:

Q_1 is the mean of 5th and 6th item

From the given data:

5th \to 16

6th \to 17

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Q_1 = \frac{1}{2}(16 + 17)

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Calculate Q_3

Q_3 = \frac{3}{4}(n + 1)th

Q_3 = \frac{3}{4}(20 + 1)th

Q_3 = \frac{3}{4}(21)th

Remove bracket

Q_3 = 15.75th

This means that:

Q_3 is the mean of 15th and 16th item

From the data:

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So:

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IQR = Q_3 - Q_1

IQR = 25 -16.5

IQR = 8.5

7 0
3 years ago
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