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motikmotik
3 years ago
7

The 8 students in Mrs. Alexander's class were asked how many minutes it takes them to get to school in the morning. Here is what

they answered: 13, 4, 15, 4, 16, 15, 3, 3 Find the mean and median travel times for these students. If necessary, round your answers to the nearest tenth.
Mathematics
1 answer:
IrinaK [193]3 years ago
7 0

To find the mean just add all of them then divide the result by 8. To find the median put the numbers in order. So 3, 3, 4, 4, 13, 15, 15, 16 then find the middle number, if there is not middle number (which there isn’t) add the two middle numbers (4 and 13) to get 17 then divide 17 by 2 to get 8.5 which is the median

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Pam has 90 m of fencing to enclose an area in a petting zoo with two dividers to separate three types of young animals. The thre
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Answer:

The area function is

A=\frac{135}{2}x-\frac{9}{2}x^2.

The domain and range of A is (0,15m) and (0, 253.125 m^2].

Step-by-step explanation:

The given length of fencing is 90 m.

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A= 3 xy \;\cdots (i)

From the figure the total length of fencing is 6x+4y.

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A=3x\left(\frac {45}{2}-\frac{3x}{2}\right)

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x=15-\frac{2y}{3}

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For the range of area function:

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\frac {dA}{dx}=0

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\Rightarrow x=\frac{15}{2}

Check this point by double differentiation

\frac {d^2A}{dx^2}=-9

As,  \frac {d^2A}{dx^2}, so, point x=\frac{15}{2} is corresponding to maxima.

Put this value back to equation (iii) to get the maximum value of area function. We have

A=\frac{135}{2}\times \frac {15}{2}-\frac{9}{2}\times \left(\frac {15}{2}\right)^2

\Rightarrow A=253.125 m^2

Hence, the range of area function is (0, 253.125 m^2].

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