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ELEN [110]
3 years ago
7

The numbers of students in the 8 schools in a district are given below. (Note that these are already ordered from least to great

est.) 201, 233, 237, 255, 269, 277, 278, 306 Suppose that the number 201 from this list changes to 225. Answer the following. What happens to the mean and what happens to the median?
Mathematics
1 answer:
Luba_88 [7]3 years ago
8 0

Answer:The mean increases but the median stays the same.

Step-by-step explanation:

201 + 233 + 237 +255 +269+277+306 mean is 257 and median is 255

225 +233 + 237 +255 +269+277+306 mean is 260  and median is 255

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Nikitich [7]

The acceleration of the particle is given by the formula mentioned below:

a=\frac{d^2s}{dt^2}

Differentiate the position vector with respect to t.

\begin{gathered} \frac{ds(t)}{dt}=\frac{d}{dt}\sqrt[]{\mleft(t^3+1\mright)} \\ =-\frac{1}{2}(t^3+1)^{-\frac{1}{2}}\times3t^2 \\ =\frac{3}{2}\frac{t^2}{\sqrt{(t^3+1)}} \end{gathered}

Differentiate both sides of the obtained equation with respect to t.

\begin{gathered} \frac{d^2s(t)}{dx^2}=\frac{3}{2}(\frac{2t}{\sqrt[]{(t^3+1)}}+t^2(-\frac{3}{2})\times\frac{1}{(t^3+1)^{\frac{3}{2}}}) \\ =\frac{3t}{\sqrt[]{(t^3+1)}}-\frac{9}{4}\frac{t^2}{(t^3+1)^{\frac{3}{2}}} \end{gathered}

Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.

\begin{gathered} a(t=1)=\frac{3}{\sqrt[]{2}}-\frac{9}{4\times2^{\frac{3}{2}}} \\ =1.32ft/sec^2 \end{gathered}

The initial position is obtained at t=0. Substitute t=0 in the given position function.

\begin{gathered} s(0)=-23\times0+65 \\ =65 \end{gathered}

8 0
1 year ago
javon is helping his dad build a tree house. he has a piece of trim that is 13 ft long. how many pieces can Javon cut that are 1
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Well a yard is 3 ft
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6 0
3 years ago
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Gwar [14]

Answer:

Answer Undefined

Step-by-step explanation:

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3 0
2 years ago
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Anyone who knows how to do this right please
Elan Coil [88]

Answer:

13. 9.77 inches (rounded to 3 s.f.)

14. 249m² (rounded to 3 s.f.)

Step-by-step explanation:

13. To find the arc length, the formula is the angle of the arc out of 360° multiplied by the circumference of the full circle. Circumference of circle: pi × r × 2

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5 0
2 years ago
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