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3 years ago

Use: 0, 4, 6, 11, 9, 8, 9, 1, 5, 9, 7 to construct a box-and-whisker plot. List the the maximum, minimum, and quartiles below.

Mathematics

1 answer:

GaryK [48]3 years ago

8 0

Answer:

minimum 0

1st quartile 3

median is 7

2nd quartile is 9

maximum value is 11

Step-by-step explanation:

To construct the plot, we need ;

1. minimum value

2. 1st quartile

3. median value

4. 3rd quartile

5. Maximum value

To get all these, we need to rearrange from the smallest to the highest

We have;

0,1,4,5,6,7,8,9,9,9,11

The smallest term is 0

The first quartile can be obtained using the formula;

(n + 1)/4

where n is the number of terms, 11 in this case

so we have (11 + 1)/4 = 12/4 = 3

The 3rd term is the lower quartile which is 4

Next, we calculate median which is the middle number counting from any of the ends

The middle number in this case is 7

The upper quartile is

3/4(n + 1) = 3/4 * 12 = 9 th term

9th term here is 9

maximum value is 11

Please check attachment for the plot

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Which system of equations is consistent and dependent?

MAXImum [283]

Answer:

Step-by-step explanation:

4x − y = −11

2x + 3y = 5

lets multiply the second equation by -2 and add it to the first:

4x − y = −11

-4x - 6y = -10

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0 - 7y = -21

y = -21/-7

y = 3

now we substitute this result in the first equation to find x:

4x − y = −11

4x - 3 = -11

4x = -8

x = -8/4

x = 2

so the solution is y = 3 and x =2

4x − 9y = −21

−10y = −30

we solve for y

−10y = −30

y = -30/-10

y = 3

and substitute in the first equation:

4x − 9y = −21

4x − 9(3) = −21

4x - 27 = -21

4x = 6

x = 6/4 = 3/2

so the solution is x = 3/2 and y = 3

4x + 3y = 5

2y = −6

we solve for y:

2y = −6

y = -6/2

y = -3

we do substitute in the first equation:

4x + 3y = 5

4x + 3(-3) = 5

4x - 9 = 5

4x = 14

x = 14/4

x = 7/2

so the solution is x = 7/2 and y = -3

7x − 3y = −11

9x = −6

we solve for x:

9x = −6

x = -6/9

x = -2/3

then we substitute in the first equation the result found:

7x − 3y = −11

7(-2/3) − 3y = −11

-14/3 - 3y = -11

we multiply by 3 to eliminate fractions:

-14 - 9y = -33

9y = 19

y = 19/9

so the solution is x = -2/3 and y = 19/9

12x − 3y = −33

14x = −28

we solve for x:

14x = −28

x = -28/14

x = -2

then we substitute in the first equation:

12x − 3y = −33

12(-2) − 3y = −33

-24 - 3y = -33

3y = 9

y = 3

then the solution is x = -2 and y = 3

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3 years ago

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HELP HELP HELP HELP

scoundrel [369]

Answer:

there is no solutions.

I hope this helps!

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3 years ago

Find the ratio y:x, if 3x=11y,

Aleks [24]

Answer:

3:11

Step-by-step explanation:

3x=11y

Rearrange to the format of the ratio.

11y = 3x

Let's find y/x. y/x is y:x.

11y = 3x

Divide both sides by 11.

11y/11 = 3x/11

y = 3x/11

NOW LET'S DIVIDE BOTH SIDES BY x TO GET x AS THE DENOMINATOR OF y.

y = 3x/11

y/x = (3x/11)/x

y/x = (3x/11) * 1/x

y/x = 3/11

Therefore, y:x = 3:11

Please thank, rate 5 stars, and give brainliest. Thank you.

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hodyreva [135]

Answer:

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Step-by-step explanation:

Hope that helps.... sorry if it doesn't..

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The train because it travels at 63 mph while the bus is 59 mph

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