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Yuliya22 [10]
2 years ago
12

Number of minutes 1 2 3 4 5 6 7 8 9 10

Mathematics
1 answer:
umka21 [38]2 years ago
4 0

Answer: please find the attached file for the graph.

Step-by-step explanation:

Number of minutes 1 2 3 4 5 6 7 8 9 10Number of trainees 2 3 5 10 15 30 25 15 10 5

Given that data set above, the time in minutes will be on the x axis while the number of trainees will be in the y axis.

In bar chart, the bars will not touch each other.

Please find the attached file for the solution and figure

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What is the sum? StartFraction 3 y Over y squared + 7 y + 10 EndFraction + StartFraction 2 Over y + 2 EndFraction
katovenus [111]

Answer:

\dfrac{5}{y+5}

Step-by-step explanation:

Here, we have to find the sum of 2 fractions:

1st fraction: \dfrac{3y}{y^{2}+7y+10}

2nd fraction: \dfrac{2}{y+2}

Considering the denominator of 1st fraction:

y^{2}+7y+10

Using factorization method:

7y can be written as (2y + 5y).

\Rightarrow y^{2}+2y+5y+10

Taking <em>5 common</em> from 5y+10 and <em>y common</em> from y^{2}+2y: \Rightarrow y(y+2)+5(y+2)

Now taking (y+2) common:

\Rightarrow (y+5)(y+2)

\dfrac{3y}{y^{2}+7y+10} can be written as \dfrac{3y}{(y+5)(y+2)}

Now, calculating the sum:

\dfrac{2y}{(y+5)(y+2)} + \dfrac{2}{y+2}

Taking <em>LCM</em> and solving:

\Rightarrow \dfrac{3y+2(y+5)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5y+10}{(y+5)(y+2)}\\\Rightarrow \dfrac{5(y+2)}{(y+5)(y+2)}\\\Rightarrow \dfrac{5}{(y+5)}

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Which implies that the average is

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3 years ago
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