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Rama09 [41]
4 years ago
11

IN Mr. Prime's class, 9/10 of the students had done thier homework. Of these, 2/3 had all correct answers. WHat fraction of the

whole class has all correct answers?
Mathematics
1 answer:
k0ka [10]4 years ago
7 0

Multiply 9/10 by 2/3:

9 * 2 3*1

--------- = --------- = 3/5 (answer)

10*3 5*1

Three fifths of the whole class has all-correct answers.


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What is the r-value of the following data, to three decimal places
Mrrafil [7]
<h2>Answer:</h2>

Option: A is the correct answer.

              A.  -0.903

<h2>Step-by-step explanation:</h2>

The formula to calculate correlation coefficient r is given by:

r=\dfrac{n\sum xy-(\sum x)(\sum y)}{\sqrt{n(\sum x^2)-(\sum x)^2}\sqrt{n(\sum y^2)-(\sum y)^2}}

        x          y         xy          x²            y²        

        4         23        92        16           529

        5          12        60        25          144

        8          10        80        64          100

        9          9          81         81            81

        13         2          26       169           4

-------------------------------------------------------------------------

∑     39       56        339      355         858

Also n=5 ( as there are 5 data points )

Hence, we get:

r=\dfrac{5\times 339-39\times 56}{\sqrt{5\times 355-(39)^2}\times \sqrt{5\times 858-(56)^2}}\\\\\\r=\dfrac{-489}{\sqrt{254}\times \sqrt{1154}}\\

r=-\dfrac{489}{541.40188}=-0.9032

     Hence,  the r-value of the following data, to three decimal places is:

                               A.  -0.932

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we know that

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solve for x

x=(8)cos(35^o)

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