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3 years ago

Is this a permutation or combination problem:

Mathematics

1 answer:

Sindrei [870]3 years ago

3 0

Answer:

permutation is the correct one.

Reason: combination are used to calculate the number of possible selections of objects without regard to the order selected. "My fruit salad is a combination of apples, grapes, and bananas". No matter the order, it is still a fruit salad. - The friends cannot be repeated twice so it is not combination

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Write 0.216 as a rational number in lowest terms

lozanna [386]

Answer:

$=\frac{27}{125}$

Step-by-step explanation:

$0.216$

$\mathrm{Multiply\:and\:divide\:by\:10\:for\:every\:number\:after\:the\:decimal\:point.}$

$\mathrm{There\:are\:}3\mathrm{\:digits\:to\:the\:right\:of\:the\:decimal\:point,\:therefore\:multiply\:and\:divide\:by\:}1000$

$=\frac{0.216\cdot \:1000}{1000}$

$=\frac{216}{1000}$

$216,\:1000$

$\mathrm{The\:GCD\:of\:}a,\:b\mathrm{\:is\:the\:largest\:positive\:number\:that\:divides\:both\:}a\mathrm{\:and\:}b\mathrm{\:without\:a\:remainder}$

$2,\:3\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:3\cdot \:3\cdot \:3$

$2,\:5\mathrm{\:are\:all\:prime\:numbers,\:therefore\:no\:further\:factorization\:is\:possible}$

$=2\cdot \:2\cdot \:2\cdot \:5\cdot \:5\cdot \:5$

$\mathrm{The\:prime\:factors\:common\:to\:}216,\:1000\mathrm{\:are\:}$

$=2\cdot \:2\cdot \:2$

$\mathrm{Multiply\:the\:numbers:}\:2\cdot \:2\cdot \:2=8$

$=8$

$=\frac{8\cdot \:27}{8\cdot \:125}$

$\mathrm{Cancel\:the\:common\:factor:}\:8$

$=\frac{27}{125}$

Hence, the correct answer is $=\frac{27}{125}$

6 0

3 years ago

3. Find the length of the missing side given the information below.

Lubov Fominskaja [6]

<h3>Answer: 12.5 (choice C)</h3>

=================================================

We apply the pythagorean theorem to find this answer.

a = 11 and b = 6 are the given legs

c = unknown hypotenuse

So,

a^2+b^2 = c^2

c = sqrt( a^2+b^2 )

c = sqrt( 11^2 + 6^2 )

c = sqrt( 121 + 36 )

c = sqrt( 157 )

c = 12.52996 approximately

c = 12.5

Side note: once you replace 'a' and b with 11 and 6, you can compute everything with a calculator in one single step more or less. The steps above are shown if you wanted to find the exact value sqrt(157).

7 0

3 years ago

Hunter is 4.52 feet tall. His sister is 0.75 times his height. How tall is Hunter's sister

Dominik [7]

Answer:

Hunter's sister is 4.53 feet tall.

Step-by-step explanation:

4.52 x 0.75 = <u>3.39 feet</u>

4 0

3 years ago

2 3/8 • 1 1/6 <br> Help step sis I'm stuck

svlad2 [7]

Answer:

2.77083333333

Step-by-step explanation:

I assume. Do not hold me account for mistakes, I apologize if my work is incorrect. Have a good day/night :}

6 0

3 years ago

Read 2 more answers

Can some one check this?

timama [110]

There are i<span>Infinitely many solutions </span>

8 0

3 years ago