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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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Substituting the given value and let's solve it

\sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times  {1.1}^{2}  \times 3.25 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times 1.21 \times 3.25 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times 3.9325 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 12.34805 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{12.34805}{3}  \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  = 4.11 {cm}^{3}

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