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BartSMP [9]
2 years ago
13

Last year at a certain high school, there were 100 boys on the honor roll and 60 girls on the honor roll. This year, the number

of boys on the honor roll decreased by 11% and the number of girls on the honor roll decreased by 10%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).​
Mathematics
1 answer:
zmey [24]2 years ago
8 0

Answer:

-11 boys -6 girls

Step-by-step explanation:

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A minor league hockey team had the following scores for the start of the season for the start of the season 3,6,2,1,2,3,0,4,5,1,
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ANSWER

The mean will be the most affected.

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Given;

3,6,2,1,2,3,0,4,5,1,5,4

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\begin{gathered} mean=\frac{3+6+2+1+2+3+0+4+5+1+5+4}{12} \\ =\frac{36}{12} \\ =3 \\ mode=1,2,3,5 \end{gathered}

To calculate the median, we need to re-arrange in ascending order. Hence;

\begin{gathered} 0,1,1,2,2,3,3,4,4,5,5,6. \\ median=\frac{(3+3)}{2} \\ =\frac{6}{2}=3 \end{gathered}

After adding 9;

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The new mean is;

\begin{gathered} mean=\frac{3+6+2+1+2+3+0+4+5+1+5+4+9}{13} \\ =3.46 \\ Mode=3 \\ median=3 \end{gathered}

The mean will be the most affected.

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1 year ago
Evaluate the integral using the indicated trigonometric substitution. (use c for the constant of integration.) x^3 / sqrt x^2 +
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\displaystyle\int\frac{x^3}{\sqrt{x^2+49}}\,\mathrm dx

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When \sec\theta>0, we have

=\displaystyle7^3\int\frac{\tan^3\theta\sec^3\theta}{\sec\theta}\,\mathrm d\theta
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and from here we can substitute u=\tan\theta to proceed from here.

Quick note: When we set x=7\tan\theta, we are implicitly enforcing -\dfrac\pi2 just so that the substitution can be undone later via \theta=\tan^{-1}\dfrac x7. But note that over this domain, we automatically guarantee that \sec\theta>0, so the absolute value bars can be dropped immediately.
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azamat

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One Pizza is 8.99 hope this helps
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