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soldi70 [24.7K]
2 years ago
14

During the past year, Zara and Ivan each read 2 books, but George read 7, Ali read 12, and Marsha read 25. The median number of

books read by these individuals was A. 10. B. 9. C. 2. D. 7.
Mathematics
1 answer:
gogolik [260]2 years ago
7 0

Answer:

D = 7

Step-by-step explanation:

To find the median, we must first list the amount of books each person read, and then put them in order.

2, 2, 7, 12, 25

These are already in order from smallest to greatest, which is awesome. We can then cross out one number from each side until we end up with either one or two numbers. We then find the average of those 1 or 2 numbers to find our median.

2, 3, 7, 12, 25

cross 2 and 25 out

3, 7, 12

cross 3 and 12 out

7

Our median is thus 7

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$12 each. $75 - $39 = $36. $36 divided by 3 = $12. Assuming he used all his money.


8 0
3 years ago
The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given
slavikrds [6]

Answer:

a) \frac{dm}{dt} = -k\cdot m, b) m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }, c) m(t) = 10\cdot e^{-\frac{t}{2438.155} }, d) m(300) \approx 8.842\,g

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

\frac{dm}{dt} = -k\cdot m

b) The general solution is found after separating variables and integrating each sides:

m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }

Where \tau is the time constant and k = \frac{1}{\tau}

c) The time constant is:

\tau = \frac{1690\,yr}{\ln 2}

\tau = 2438.155\,yr

The particular solution of the differential equation is:

m(t) = 10\cdot e^{-\frac{t}{2438.155} }

d) The amount of radium after 300 years is:

m(300) \approx 8.842\,g

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3 years ago
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Hope this helps :)

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See the attached image for the actual graph.

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