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Andre45 [30]
3 years ago
13

Jorge asked each of the 24 students in his class if they play a musical instrument. He also asked each student if they play a sp

ort. He gathered the following results:
6 students play both a musical instrument and a sport.
3 students play neither a musical instrument nor a sport.
14 students in total play a sport.
Can you help Jorge organize the results into a two-way frequency table?
Mathematics
1 answer:
Pepsi [2]3 years ago
5 0

Answer:

                               play a musical      don't play a musical     Total

                                  instrument                 instrument

play an sport                    <em>6</em>                           14-6 = 8                  <em>14</em>

don't play an sport       10-3 = 7                           <em>3</em>                   24 -14 = 10

Total                                6+7 = 13                    8+3 = 11              <em>24</em>  

Step-by-step explanation:

Data is In italic.

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vodka [1.7K]

Answer:

B) Associative Property of Multiplication

Step-by-step explanation:

The associative property states you can change where the parentheses (grouping terms) are in a multiplication statement, and you'll get the same product.

More generally:

(a * b) * c = a * (b * c)

3 0
2 years ago
Read 2 more answers
How do you simplify this?<br>x²y+xy² / y²+2/5 × xy​​​
polet [3.4K]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • How do you simplify this?
  • x²y+xy² / y²+2/5 × xy

\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}

\sf\frac{  { x  }^{ 2  }  y+x { y  }^{ 2  }    }{  { y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy  } \\

Factor the expressions that are not already factored.

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<u>How </u><u>to</u><u> factorise</u><u> </u><u>:</u><u>-</u>

<u>NUMERATOR</u> \downarrow

\sf \: x ^ { 2 } y + x y ^ { 2 }

Factor out xy.

\sf \: xy\left(x+y\right)

<u>DENOMINATOR</u> \downarrow

\sf{ y  }^{ 2  }  + \frac{ 2  }{ 5  }   \times  xy \\

Factor out 1/5.

\sf \: {\frac{1}{5}y\left(2x+5y\right)}  \\

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Continuing...

\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)}  \\

Cancel out y in both the numerator and denominator.

\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)}  \\

Expand the expression.

\sf\frac{x^{2}+xy}{\frac{2}{5}x+y}  \\

This can further simplified to as \downarrow

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3 0
3 years ago
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Nat2105 [25]

Answer:

E. 16 min 12 sec

Step-by-step explanation:

Let x represent total time taken to complete the exercise.

We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.

When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.

18 seconds will be equal to 0.3 minutes.

Let us find total time of exercise as:

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\frac{0.90x}{0.90}=\frac{24.3}{0.90}

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Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.

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8 0
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Answer:

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