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Mademuasel [1]
3 years ago
8

Dexter read 11 science fiction books and 5 history books. Lena read 9 science fiction books and 4 history books. Compare the stu

dents’ ratios of science fiction books to history books.
1. Determine the ratios’ form:

   science fiction books to history books

2. Write the ratios as fractions:

   Dexter: 11
5
; Lena: 9
4

3. Rewrite with a common denominator.

4. Compare.

5. Answer the question.

Determine which shows the correct comparison of the ratios for this problem.
StartFraction 5 Over 20 EndFraction greater-than StartFraction 4 Over 20 EndFraction
StartFraction 26 Over 20 EndFraction greater-than StartFraction 25 Over 20 EndFraction
StartFraction 11 Over 20 EndFraction greater-than StartFraction 9 Over 20 EndFraction
StartFraction 44 Over 20 EndFraction less-than StartFraction 45 Over 20 EndFraction
Mathematics
1 answer:
arlik [135]3 years ago
3 0

Answer:

the answer is d 44/20 44/20

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May someone help me with this question please anyone please
djverab [1.8K]
5;\ 5;\ 5;\ 5;\ 7;\ 9\\\\\overline{x}=\dfrac{5+5+5+5+7+9}{6}=\dfrac{36}{6}=6\\\\\delta^2=\dfrac{(x_1-\overline{x})^2+(x_2-\overline{x})^2+(x_3-\overline{x})^2+...+(x_n-\overline{x})^2}{n}\\\\\delta^2=\dfrac{(5-6)^2+(5-6)^2+(5-6)^2+(5-6)^2+}{6}
\dfrac{+(7-6)^2+(9-6)^2}{6}\\\\\delta^2=\dfrac{(-1)^2+(-1)^2+(-1)^2+(-1)^2+1^2+3^2}{6}=\dfrac{14}{6}=\dfrac{7}{3}

standard\ deviation:\\\\\sqrt{\delta^2}=\sqrt{\dfrac{7}{3}}=\dfrac{\sqrt7}{\sqrt3}=\dfrac{\sqrt7\cdot\sqrt3}{\sqrt3\cdot\sqrt3}=\boxed{\dfrac{\sqrt{21}}{3}}\approx\boxed{1.53}
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