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prohojiy [21]
4 years ago
5

Jesse asked how many magazine subscriptions each

Mathematics
1 answer:
torisob [31]4 years ago
4 0

Answer:

Interquartile range of the data is:

IQR = 2

Step-by-step explanation:

First lets rearrange the data in ascending order:

0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4

<h3>Find Median:</h3>

Median = (No. of terms +1) / 2      (when n = odd number)

Median = 14/2 (th term)

Median = 7th term

Median = 1

<h3>Find Upper and Lower Medians:</h3>

As the number of total terms is odd (n=13) , we omit the median and form upper and lower sets and find their medium

0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 4, 4

Remove the median

0, 0, 0, 1, 1, 1    |    2, 2, 2, 3, 4, 4

Calculate the median of lower portion

0, 0, 0, 1, 1, 1

For even numbers

Lower Median = (0+1)/2

Lower Median = 0.5

Calculate the median of upper portion

2, 2, 2, 3, 4, 4

Upper Median = (2+3)/2

Upper Median = 2.5

<h3>Interquartile Range:</h3>

It is the difference between Upper and Lower Median

IQR = 2.5 - 0.5

IQR = 2

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<u>Answer:</u>

26. \frac{3}{4} \leq x

27. x\leq 5

28. 0\leq b

<u>Step-by-step explanation:</u>

26. \sqrt{4x-3}:

Taking square on both the sides to get:

(\sqrt{4x-3} )^2 < (5)^2

4x-3

4x

x

x

For non-negative values for radical:

4x-3\geq 0

x\geq \frac{3}{4}

So solution for this: \frac{3}{4} \leq x

27. 2+\sqrt{4x-4}\leq  6

Subtracting 2 from both the sides to get:

2+\sqrt{4x-4}-2\leq  6-2

\sqrt{4x-4}\leq 4

Taking square root on both sides:

(\sqrt{4x-4})^2\leq (4)^2

4x-4\leq 16

x\leq \frac{20}{4}

x\leq 5

28. \sqrt{b+12} -\sqrt{b}>2

Adding \sqrt{b} to both the sides to get:

\sqrt{b+12} -\sqrt{b}+\sqrt{b}>2+\sqrt{b}

\sqrt{b+12} >2+\sqrt{b}

Taking square on both sides:

(\sqrt{b+12})^2 >(2+\sqrt{b})^2

b+12>(2+\sqrt{b})^2

b+12>4+4\sqrt{b}+b

4+4\sqrt{b} +b

Subtracting b from both sides to get:

4+4\sqrt{b} +b-b

4+4\sqrt{b}

Subtracting 4 from both sides:

4+4\sqrt{b}-4

4\sqrt{b}

Square both sides again:

(4\sqrt{b})^2

16b

b

b

and for non-negative radical b\geq 0

therefore, solution is 0\leq b.

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3 years ago
The graph represents the x^2+y^2=8. Use the graph to answer questions 6,7,8.
finlep [7]

Answer:

6=69, 7=69, 8=69

Step-by-step explanation:

72

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What is the solution to the equation 2 ( 5 + 2 x ) = − 4 + 6 x ? x = 3 2 x = 3 2 x = 7 6 x = 7 6 x = 2 x = 2 x = 7 x = 7
soldi70 [24.7K]

Answer:

7=x

Step-by-step explanation:

multiply 5 and 2x by 2, you'll then have (10+4x)=-4+6x. Then add 4 to both sides and you have (14+4x)=6x. Subtract 4x from both sides and that'll get you 14=2x and you divide 2 from each side to get x by itself so 7 is your answer.

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