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myrzilka [38]
3 years ago
10

Find all values of theta between 0 and 360 that satisfy cos(theta)=-.73

Mathematics
1 answer:
natka813 [3]3 years ago
7 0
cos\theta=-0.73\\\\-cos\theta=0.73\\\\cos(180^o-\theta)=0.73\ or\ cos(180^o+\theta)=0.73\\\\180^o-\theta=43^o\ or\ 180^o+\theta=43^o\\\\\theta=137^o\ or\ \theta=-137^o\to\theta=-137^o+360^o=223^o\\\\Answer:\theta=137^o\ or\ \theta=223^o
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Step-by-step explanation:

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z = (x - µ)/σ

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σ = standard deviation

From the information given,

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The probability that a randomly selected tire will have a life of exactly 47,500 miles

P(x = 47500)

For x = 47500,

z = (40000 - 47500)/5000 = - 1.5

Looking at the normal distribution table, the probability corresponding to the z score is 0.067

6 0
3 years ago
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Answer:

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Step-by-step explanation:

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