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ArbitrLikvidat [17]
4 years ago
8

If MP = 6x – 5, QR = 3x + 1, and RN = 6, what is QN?

Mathematics
1 answer:
NeTakaya4 years ago
7 0

Answer:

19 units.

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure it is given that MN=PQ.

It is given that MP = 6x – 5, QR = 3x + 1, and RN = 6.

Since non parallel sides are equal, therefore it is an isosceles trapezoid.

The diagonals of an isosceles trapezoid are equal.

MP=QN

MP=QR+RN

Substitute the given values.

6x-5=3x+1+6

6x-5=3x+7

6x-3x=5+7

3x=12

x=4

The value of x is 4.

QN=MP=6x-5=6(4)-5=24-5=19

Hence, the measure of QN is 19 units.

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A strong positive correlation.

Step-by-step explanation:

The question requires you to calculate the correlation coefficient and then make a conclusion about its value.

Form a table as shown where x is cost of items and y is shipping cost

x               y           xy                   x²         y²

25           5.99       149.8          625         35.9

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190           34.96     1773.2        10050      318.3 ------sum

The formula for correlation coefficient follows;

r=n(∑xy)-(∑x)(∑y) ÷ √{[n∑x²-(x)²] [n∑y²-(y)²]}

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r=4(1773.2)-(190)(34.96) ÷ √{[4(10050)-190²] [4(318.3)-34.96²]}

r=450÷ √{4100*51)

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r=450÷457.3

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The value of r indicates a stronger positive correlation

Learn More

Correlation coefficient :brainly.com/question/12528676

Keywords :shipping costs,cost of items, strength of the model

#LearnwithBrainly

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