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Ksenya-84 [330]
3 years ago
10

The base of a rectangular prism has an area of 13 2/3, and the height of the prism is 8 5/6. What is the volume of the prism? Be

sure to use this format: whole number numerator/denominator.
Mathematics
1 answer:
Fed [463]3 years ago
6 0

Answer:

120 \frac{13}{18}

Step-by-step explanation:

<em><u>The formula for finding the volume of a prism is:</u></em>

V = Bh

<em><u>You have to convert 13 </u></em>\frac{2}{3}<em><u> into an improper fraction, like so:</u></em>

\frac{41}{3}

<em><u>Convert the other:</u></em>

<em><u /></em>\frac{53}{6}

<em><u>Multiply:</u></em>

<em><u /></em>\frac{41}{3} · \frac{53}{6} = \frac{2173}{18}

<em><u>Convert to mixed fraction:</u></em>

120 \frac{13}{18}

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Answer: \dfrac{60}{143}

Step-by-step explanation:

Given,  A class has five boys and nine girls.

Total students = 5+9=14

Number of ways to choose 6 students out of 14= ^{14}C_6  [Using combinations]

Number of ways to choose 4 girls out of 6 (4 girls + 2 boys = 6 ) = ^{9}C_4\times\ ^{5}C_2

If the teacher randomly picks six students, then the probability that he will pick exactly four girls:-

\dfrac{^{9}C_4\times \ ^{5}C_2}{^{14}C_6}

=\dfrac{\dfrac{9!}{4!5!}\times\dfrac{5!}{2!3!}}{\dfrac{14!}{6!8!}}\\\\=\dfrac{1260}{3003}\\\\=\dfrac{60}{143}

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3 years ago
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boyakko [2]

Answer:

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Step-by-step explanation:

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  2. 2 · {[ 5 · ( 58 )] + 25 } · 5.
  3. 2 · { 290 + 25 } · 5.
  4. 2 · { 315 } · 5.
  5. 630 · 5.
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These are all of the steps to completely and correctly solve this question.

Hope this helps.

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Step-by-step explanation:

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