35. Chebychey's Theorem Old Faithful is a famous geyser at Yellowstone National Park. From a sample with 32. the mean duration o
f Old Faithful's eruptions is 3.32 minutes and the standard deviation is 1.09 minutes. Using Chebycher's Theorem, determine at least how many of the eruptions lasted between 1.14 minutes and 5.5 minutes. (Source: Yellowstone National D 36. Chebycher's Theorem The - 577
1 answer:
Answer:
The probability that the eruptions lasted between 1.14 min and 5.5 minutes is greater than 75%
Step-by-step explanation:
The explanation can be found in the attached picture. Chebyshev's <u>inequality </u>was used. It predicts the probability of the random variable to be in ( mean- K* standard dev< x < mean + K*standard dev).
Note: K must be greater than 1
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Answer:
y2 = (6x + 7)/36 + (Dx + E)e^x
Step-by-step explanation:
The method of reduction of order is applicable for second-order differential equations.
For a known solution y1 of a 2nd order differential equation, this method assumes a second solution in the form Uy1 which satisfies the said differential equation. It then assumes a reduced order for U'' (w' = U'').
The differential equation becomes easy to solve, and all that is left are integration and substitutions.
Check attachments for the solution to this problem.
Answer:
Distance between the police station and the fire station be 4 miles
Step-by-step explanation:
Let distance between the police station and the fire station be x miles.
The distance between the library and the police station is 3 miles less than twice the distance between the police station and the fire station.
Distance between the library and the police station
Also, distance between the library and the police station is 5 miles.