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Alexus [3.1K]
1 year ago
12

Find Q2 of the following data set 3, 9, 12, 4, 6, 40, 25, 14, 10

Mathematics
1 answer:
xxTIMURxx [149]1 year ago
8 0

Answer:

Q₂ = 10

Step-by-step explanation:

Given data set:  3, 9, 12, 4, 6, 40, 25, 14, 10

Q₂ is the median (the middle value) of the <u>given data set</u> when the data set is <u>ordered</u> from <u>smallest to largest</u>.

<u>Order the values</u> in the data set:

3, 4, 6, 9, <u>10</u>, 12, 14, 25, 40

As the number of values is <u>odd</u>, the middle value is the 5th value.

Therefore, the median (Q₂) of the given data set is 10.

If the number of data values is <u>even</u>, and therefore there are <u>two middle values</u>, the median is <u>halfway</u> between them.

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Triangle QRS has 3 congruent sides, so it is equilateral and equiangular.

The sum of the measures of the angles of a triangle is 180 deg, so each angle of triangle QRS is 60 deg.

Angle RQS measures 60 degrees and forms a linear pair with angle PQS. Angles in a linear pair a supplementary. That makes the measure of angle PQS 120 deg. leaving only 60 degrees as the sum of the measures of angles PSQ and SPQ. Triangle PQS is isosceles since sides PQ and QS are congruent. The angles opposite congruent sides of a triangle are congruent, so angle PSQ is congruent to angle SPQ. That means angles PSQ and SPQ measure 30 deg each.

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Step-by-step explanation:

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2 years ago
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raketka [301]

Answer:

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3 years ago
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slava [35]

Answer:

a. Short-Sleeve = 35

b. Long-Sleeve = 27

Step-by-step explanation:

Given data:

Total shirts sold = 62

short sleeved cost = 11 each

Long sleeved cost = 17 each

Total receipts = 844

<em>Let the count of short sleeved be X  and Let the count of long sleeved be Y</em>

X + Y = 62 <em>(equation 1) from the total shirts sold</em>

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<em>From equation 1</em>    X = 62 - Y <em>(Equation 3)</em>

<em>Substituting equation 3 into equation 2</em>

11(62 - Y) +17Y = 844

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Therefore Y = 27

<em>Substituting Y into equation 3</em>

X = 62 - Y

X = 62 - 27

X = 35

5 0
2 years ago
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