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miv72 [106K]
3 years ago
12

Nemo's aquarium is filled with 240024002400 cubic centimeters of water. The base of the aquarium is 20\text{ cm}20 cm20, space,

c, m long and 12\text{ cm}12 cm12, space, c, m wide. What is the height of the water in Nemo's aquarium?
Mathematics
2 answers:
Anit [1.1K]3 years ago
7 0

Answer:

10 cm

Step-by-step explanation:

Since, the volume of a cuboid is,

V = l × w × h,

Where,

l = length,

w = width,

h = height,

∵ The shape of the aquarium must be cuboid,

We have, l = 20 cm, w = 12 cm, V = 2400 cm³,

By substituting the values,

2400 = 20 × 12 × h

2400 = 240h

\implies h = \frac{2400}{240}=10

Hence, the height of the water in Nemo's aquarium would be 10 cm.

irinina [24]3 years ago
6 0

Answer:

10 cm

Step-by-step explanation:

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A

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3 years ago
Mathematically verify the outlier(s) in the data set using the 1.5 rule.
statuscvo [17]

Given:

The data values are:

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

To find:

The outliers of the given data set.

Solution:

We have,

7, 8, 11, 13, 14, 14, 14, 15, 16, 16, 18, 19

Divide the data set in two equal parts.

(7, 8, 11, 13, 14, 14), (14, 15, 16, 16, 18, 19)

Divide each parenthesis in two equal parts.

(7, 8, 11), (13, 14, 14), (14, 15, 16), (16, 18, 19)

Now,

Q_1=\dfrac{11+13}{2}

Q_1=\dfrac{24}{2}

Q_1=12

And

Q_3=\dfrac{16+16}{2}

Q_3=\dfrac{32}{2}

Q_3=16

The interquartile range is:

IQR=Q_3-Q_1

IQR=16-12

IQR=4

The data values lies outside the interval [Q_1-1.5IQR,Q_3+1.5IQR] are known as outliers.

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-1.5(4),16+1.5(4)]

[Q_1-1.5IQR,Q_3+1.5IQR]=[12-6,16+6]

[Q_1-1.5IQR,Q_3+1.5IQR]=[6,22]

All the data values lie in the interval [6,22]. So, there are no outliers.

Hence, the correct option is 4.

3 0
3 years ago
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Answer: x^2 -3

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Step-by-step explanation:

When you divide 2x^3 by 2x the 2's cancel, and x cubed becomes x squared.

In 6x divided by 2x, the X's cancel and 6 ÷2=3

BTW "cancels" means that a number divided by itself equals one, so it "disappears" from the expression

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Answer:

x=1.2

Step-by-step explanation:

Ⓗⓘ ⓣⓗⓔⓡⓔ

1/2x-4=-3-1/3x

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