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Paladinen [302]
2 years ago
7

Rory is staying in a cabin on a hill 300 feet above sea level. She walks down the hill to the water’s edge. The equation of her

average change in elevation over time is e = 300 – 10t, where t is the time in minutes since she left the cabin, and e is her elevation with regard to sea level. Which values are viable points, and what are their values in the table relating t and e?
Mathematics
2 answers:
san4es73 [151]2 years ago
3 0
x    y
1     290
2    280
3    270
4    260
5    250
6    240
7    230
8    220
9    210
10  200
11    90
12  180
13  170
14  160
15  150
16  140
17  130
18  120
19  110
20 100
21    90
22   80
23   70
24   60
25   50
26   40
27   30
28   20
29   10
30   0
Lelu [443]2 years ago
3 0

Answer:

Step-by-step explanation:

Given that Rory is staying in a cabin on a hill 300 feet above sea level.

She walks down the hill to the water’s edge.

The equation of her average change in elevation over time is

e = 300 – 10t,

t= time in minutes

e = elevation

We can say that e cannot be negative

so we can have 0=300-10t as extreme value

t=30 minutes can be the maximum time and minimum time is obviously 0.

Thus t can take values between 0 and 30.

e (30) = 0 and e(0) = 300

So e can take values from 0 to 300

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Answer:

(a1) The probability that temperature increase will be less than 20°C is 0.667.

(a2) The probability that temperature increase will be between 20°C and 22°C is 0.133.

(b) The probability that at any point of time the temperature increase is potentially dangerous is 0.467.

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The probability density function of <em>X</em> is:

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P(X

Thus, the probability that temperature increase will be less than 20°C is 0.667.

(a2)

Compute the probability that temperature increase will be between 20°C and 22°C as follows:

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Thus, the probability that temperature increase will be between 20°C and 22°C is 0.133.

(b)

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Thus, the probability that at any point of time the temperature increase is potentially dangerous is 0.467.

(c)

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Thus, the expected value of the temperature increase is 17.5°C.

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