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Dafna11 [192]
2 years ago
14

Select the correct answer. What is the definition of csc θ ?

Mathematics
1 answer:
OleMash [197]2 years ago
8 0

Answer:

A. csc θ=1/sinθ

Step-by-step explanation:

From SOHCAHTOA,

sine = opposite/ hypotenuse

Cos = adjacent / hypotenuse

Tan = opposite / adjacent

In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:

Csc Ф = 1/ sinФ

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A courier service company wishes to estimate the proportion of people in various states that will use its services. Suppose the
a_sh-v [17]

Answer:

Probability that the sample proportion will be less than 0.03 is 0.10204.

Step-by-step explanation:

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<em>Let </em>\hat p<em> = sample proportion</em>

The z-score probability distribution for sample proportion is given by;

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where, \hat p = sample proportion

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The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

So, probability that the sample proportion will be less than 0.03 is given by = P( \hat p < 0.03)

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Now, in the z table the P(Z \leq x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 1.27 in the z table which has an area of 0.89796.

Therefore, probability that the sample proportion will be less than 0.03 is 0.10204.

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Answer:

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Step-by-step explanation:

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