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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%

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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pishuonlain [190]

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$\cos{\theta} = \pm \frac{2\sqrt{2}}{3}$

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The identity that relates the sine squared and the cosine squared of the angle, as follows:

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In this problem, we have that the sine is given by:

$\sin{\theta} = \frac{1}{3}$

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The tangent is given by the sine divided by the cosine, hence:

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$\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}$

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More can be learned about trigonometric identities at brainly.com/question/24496175

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