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slega [8]
3 years ago
14

The probability a resident of Manhattan spends New Years Eve at Times Square is 0.32. The probability a resident of Manhattan sp

ends New Years Eve out of town is 0.22. Assume a Manhattan resident spending New Years Eve at Times Square is mutually exclusive of the resident spending New Years Eve out of town.
What is the probability a randomly selected Manhattan resident spends New Years Eve at Times Square given the resident is out of town on New Years Eve?

A. 0.688
B. 0.32
C. 0.22
D. 0.1
E. 0
Mathematics
1 answer:
uysha [10]3 years ago
6 0

Answer:

E. 0

Step-by-step explanation:

These probabilities are mutually exclusive. This means that if the resident of Manhattan spends New Years Eve out of town, there is a 0% probability that he spends the New Years Eve at Times Square.

The correct answer is:

E. 0

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Check all that apply. <br> if secØ= 13/12, then:
makvit [3.9K]

Based on <em>trigonometric</em> formulas, we can find that the options that applies to the given <em>trigonometric</em> relationship are tan θ = 5/12 and cos θ = 12/13.

<h3>How to find the exact form of trigonometric functions</h3>

There six <em>trigonometric</em> functions, which are related by a group of expressions, which will be used in this question:

\cos \theta = \frac{1}{\sec \theta} = \frac{12}{13}

\sin \theta = \sqrt{1 - \cos^{2}\theta}

\sin \theta = \sqrt{1 -\left(\frac{12}{13} \right)^{2}}

\sin \theta = \frac{5}{13}

\csc \theta = \frac{1}{\sin \theta} = \frac{13}{5}

\tan \theta = \sqrt{\sec^{2}\theta - 1}

\tan \theta = \sqrt{\left(\frac{13}{12} \right)^{2}-1}

\tan \theta = \frac{5}{12}

Based on <em>trigonometric</em> formulas, we can find that the options that applies to the given <em>trigonometric</em> relationship are tan θ = 5/12 and cos θ = 12/13.

<h3>Remark</h3>

The statement is incomplete. Complete form is shown below:

<em>Check all that apply: </em>

<em />

<em>If sec θ = 13/12, then: </em>

<em />

<em>a) sin θ = 12/13</em>

<em>b) tan θ = 5/12</em>

<em>c) cos θ = 12/13</em>

<em>d) csc θ = 12/13</em>

To learn more on trigonometric equations: brainly.com/question/22624805

#SPJ1

5 0
2 years ago
Is this answer correct?
photoshop1234 [79]
Yes it is goodjob sue
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Answer:

0.25

Step-by-step explanation:

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jok3333 [9.3K]

Answer:

7x-12=16


hope this helps :)



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4 years ago
Expand the following 1/6 (18x-24)
monitta
Hello,

What we want to do is multiply 1/6 by each value within the parentheses individually.

So, it would be:
(1/6) * (18x) = 3x
(1/6) * (-24) = -4

Together, this would be 3x-4.

Hope this helps!
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