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scoray [572]
2 years ago
4

Construct a stem-and-leaf plot for each of the following sets of data.a) Minutes on the bus to school:8, 12, 18, 10, 13, 24, 30,

19, 22, 24, 19, 14, 17, 32, 21 b) Minutes studying:54, 63, 52, 54, 21, 39, 48, 55, 32, 68, 53, 44, 49, 36, 27
Mathematics
1 answer:
Blizzard [7]2 years ago
7 0

a)

• Data: 8,,, 12,, ,18, 10, 13, 24, 30, 19, 22,, ,24, 19,, ,14, 17,, ,32,, ,21

<em />

<em>Organizing the data:</em>

• 0: 8

,

• 1: 0, 2, 3, 4, 7, 8, 9, 9

,

• 2: 1, 2, 4, 4,

,

• 3: 0, 2

<em>Plotting:</em>

b)

• Data: 54,, 63, ,52, 54, 21,, ,39, 48,, ,55,, ,32,, 68, ,53, 44, 49,, ,36,, ,27

<em>Organizing the data:</em>

• 2: 1, 7

,

• 3: 2, 6, 9

,

• 4: 4, 8, 9

,

• 5: 2, 3, 4, 4, 5,

,

• 6: 3, 8

<em>Plotting:</em>

<em />

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Step-by-step explanation:

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A quick way of working these out is as follows:

Take 7C4:

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Step-by-step explanation:

<u>Given points:</u>

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8 0
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A small pebble has a mass of<br> about<br> 20 L<br> b.<br> 20 ml<br> 20 g<br> 20 kg<br> d.
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3 years ago
BE is parallel to CD.
Viktor [21]

Answer:

CD = 8 cm

Step-by-step explanation:

Given

See attachment

AE=6 cm,\ ED=4 cm,\ AB=4.5 cm,\ BE=4.8 cm.

Required

Find CD

To calculate CD, we first calculate BC using the following equivalent ratio

AB : BC = AE:ED

Substitute values for AB, AE and ED

4.5 : BC = 6 : 4

Express as fraction

\frac{4.5 }{ BC} = \frac{6 }{ 4}

Cross Multiply

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BC * 6 = 18

Divide through by 6

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To calculate CD,

We make use of the following equivalent ratio

AB : BE = AC : CD

Where

AC = AB + BC

AC = 4.5 + 3

AC = 7.5

So, we have:

AB : BE = AC : CD

4.5 : 4.8 = 7.5 : CD

Express as fraction

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Cross Multiply

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Divide through by 4.5

CD = \frac{7.5 * 4.8}{4.5}

CD = \frac{36}{4.5}

CD = 8

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3 years ago
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