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andrezito [222]
3 years ago
13

18^9 ÷ 18 ^4 equivalent expression

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

18^5

Step-by-step explanation:

18^9 ÷ 18^4

= 18 ^ (9-4)

= 18 ^ 5

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What is the interquartile range of the data? With the numbers 2,3,3,4,5,7,8,8,8,10,10, and 12
harina [27]

Answer:

The interquartile range = 5.5

Step-by-step explanation:

Given the data

2   3   3   4   5   7   8   8   8   10   10   12

As we know that

The interquartile range is the difference between the third and first quartiles.

  • The first quartile is the median of the bottom half of the numbers.

So, to find the first quartile, we need to place the numbers in value order and find the bottom half.

2   3   3   4   5   7   8   8   8   10   10   12  

So, the bottom half is

2   3   3   4   5   7  

The median of these numbers is 3.5.

  • The third quartile is the median of the upper half of the numbers.

So, to find the third quartile, we need to place the numbers in value order and find the upper half.

2   3   3   4   5   7   8   8   8   10   10   12  

So, the upper half is

8   8   8   10   10   12  

The median of these numbers is 9

so

The third quartile is 9.

The first quartile is 3.5.

The interquartile range is the difference between the third and first quartiles.

The interquartile range = 9 - 3.5 = 5.5

Therefore, the interquartile range = 5.5

6 0
3 years ago
Help me please on question one and two
pav-90 [236]

Answer:

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Step-by-step explanation:

4 0
3 years ago
A team played 20 games and won 18. what % did they win?
maxonik [38]

<u>Answer:</u> 90%

<u>Reasoning:</u> To solve this divide 18 by 20

18/20= 0.9

Now multiply 20 by 0.9 to check

20 x 0.9= 18


8 0
3 years ago
Sqrt(2−7x) -sqrt(x 3) =3
Assoli18 [71]
(a+b)^2=a^2+2ab+b^2  \\ \\  \sqrt{2-7x} - \sqrt{x+3} =3 \\  (\sqrt{2-7x})^2  =(3 + \sqrt{x+3})^2\\2-7x=9+6\sqrt{x+3}+x+3 \\ 2-7x-9-x-3=6\sqrt{x+3} \\ (-8x-10)^2=(6\sqrt{x+3})^2 \\64x^2+160x+100=36(x+3) \\ 64x^2+160x+100=36x+108\\ 64x^2+160x-36x+100-108=0 \\ 64x^2+`124x-8=0 \\ 4( 16x^{2} +31x-2)=0 \\
16x^{2} +31x-2=0 \\(x-2)(16x-1)=0 \\ x+2=0 \\ x=-2 \\ 16x-1=0 \\ x= \frac{1}{16}

\sqrt{2-7  \cdot\frac{1}{16} } - \sqrt{\frac{1}{16} +3}  \neq 3 \\ x=-2


6 0
3 years ago
Complete the steps to solve for X<br>please say sloving steps​
ollegr [7]

Answer:

see below

Step-by-step explanation:

2/5x - 1/4x = 3

Get a common denominator of 20

2/5x *4/4  - 1/4x *5/5 =3

8/20 x   - 5/20x  =3

3/20x = 3

Multiply by 20/3 to isolate x

20/3 * 3/20 x = 20/3 * 3

x = 20

4 0
3 years ago
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