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kirill [66]
2 years ago
9

What is the GCF of 90 and 190?

Mathematics
2 answers:
pishuonlain [190]2 years ago
8 0
<u>   90   </u>       <u>    190    </u> 
1 × 90        1 × 190
2 × 45        2 × 95
3 × 30        5 × 38
5 × 18      10 × 19
6 × 15
9 × 10
 GCF: 10
IrinaVladis [17]2 years ago
7 0
Let's first find out their factors.

90's factors are : 

1,2,3,5,6,9,10,15,18,30,45,90

190's factors are :

1,2,5,10,19,38,95,190

The common factors of 90 and 190 are :

1,2,5 and 10. 

The greatest one among these is, 10. So the greatest factor of 90 and 190 is 10.




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Given:

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To find:

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Formula for variance is

\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}      ...(i)

Using (i), we get

\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}

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9=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}

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Similarly,

\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}

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Now, after combining both sets, we get

\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}

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Therefore, the variance of combined set is 15.4.

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