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stepladder [879]
3 years ago
9

Suppose that it is reported in the news that 12% of the people living and working in Kokomo feel that their commute is too long.

What is the travel time to work that separates the top 12% of people with the longest travel times and the lower 88%
Mathematics
1 answer:
Dominik [7]3 years ago
4 0

Answer:

22.3 minutes

Step-by-step explanation:

The computation of the travel time is as follows:

Given that

\mu = 17

And, the standard deviation is 4.5

P(X≤C) = 0.88

P( x - \mu) ÷ \sigma ≤  (C - \mu)  ÷ \sigma  = 0.88

(C - \mu)  ÷ \sigma  = 1.175

c = \mu +  1.175 × \sigma

= 17 + 1.175 × 4.5

= 22.3 minutes

Hence, the travel time is 22.3 minutes

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Answer:

Suppose a population of rodents satisfies the differential equation dP 2 kP dt = . Initially there are P (0 2 ) = rodents, and their number is increasing at the rate of 1 dP dt = rodent per month when there are P = 10 rodents.  

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1000=-\frac{200}{2t-100} \\\\2t-100=-\frac{200}{1000} \\\\2t=99.8\\\\t=49.9\ months

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