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3 years ago

Simplify. (11 + (+4 + 1)2] - 11 1-1 - 21

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

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denpristay [2]

Answer:

(i) Five number summary: Minimum value = 1, $Q_1=18$ , $Median=18.5$ , $Q_3=20.5$ , Maximum value = 26.

(ii) IQR = 2.5, upper fence = 24.25 and lower fence = 14.25.

(iii) 26 is an outlier of the data.

Step-by-step explanation:

The given data set is

19, 18, 23, 18, 18, 26, 19, 16, 20, 18, 17, 21

Arrange the data set in ascending order.

16, 17, 18, 18, 18, 18, 19, 19, 20, 21, 23, 26

Divide the data set in 4 equal parts.

(16, 17, 18), (18, 18, 18), (19, 19, 20), (21, 23, 26)

Minimum value = 16

$Q_1=\frac{18+18}{2}=18$

$Median=Q_2=\frac{18+19}{2}=18.5$

$Q_3=\frac{20+21}{2}=20.5$

Maximum value = 26

The inter quartile range (IQR) of the data is

$IQR=Q_3-Q_1=20.5-18=2.5$

Upper fence :

$Q_3+1.5(IQR)=20.5+1.5(2.5)=24.25$

Lower fence :

$Q_1-1.5(IQR)=18-1.5(2.5)=14.25$

If the any element of the data set lies out side the upper fence and lower fence, then it is called an outlier.

26 ∉ [14.25, 24.25]

Therefore, 26 is an outlier of the data.

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3 years ago

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Dylan has a square piece of metal that measures 10 inches on each side. he cuts the metal along the diagonal, forming two right

Artemon [7]

You need to use the Pythagorean theory. a² + b² = c². So you would end up with 10²+10²=c². So, 10²=100, therefore you would end up with 200=c². In order to find the length of the hypotenuse, you need to find C. To do this, you need to undo the square and find the square root of 200 and C. So, you would get √200=√c² which would equal 14.1 inches. Then, if needed to check the answer, plug the 10,10,and 14.1 back into the a²+b²=c² and it should make the statement true.

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vichka [17]

Answer:

Step-by-step explanation:

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Depreciation is the decrease or loss in value of an item due to age, wear, or market conditions. We usually consider depreciatio

Alik [6]

Answer:The value of the bulldozer after 3 years is $121950

Step-by-step explanation:

We would apply the straight line depreciation method. In this method, the value of the asset(bulldozer) is reduced linearly over its useful life until it reaches its salvage value. The formula is expressed as

Annual depreciation expense =

(Cost of the asset - salvage value)/useful life of the asset.

From the given information,

Useful life = 23 years

Salvage value of the bulldozer = $14950

Cost of the new bulldozer is $138000

Therefore

Annual depreciation = (138000 - 14950)/ 23 = $5350

The value of the bulldozer at any point would be V. Therefore

5350 = (138000 - V)/ t

5350t = 138000 - V

V = 138000 - 5350t

The value of the bulldozer after 3 years would be

V = 138000 - 5350×3 = $121950

4 0

3 years ago

Simplify. (11 + (+4 + 1)2] - 11 1-1 - 21​

Simplify. (11 + (+4 + 1)2] - 11 1-1 - 21