We need to find the side opposite to ∠W. We are given the two angles ∠W and ∠X. We are also given that Side X is equal to 7. Therefore, we can use the Law of Sines.

Now, like last time, use the Law of Sines:

$\frac{\sin(V)}{v}=\frac{\sin(W)}{w}=\frac{\sin(X)}{x}$

We can ignore the first term. Plug in 144 for ∠W, 21 for ∠X, and 7 for <em>x</em>.

$\frac{\sin(144)}{w}=\frac{\sin(21)}{7}$

Cross multiply:

$7\sin(144)=w\sin(21)\\w=\frac{7\sin(144)}{\sin(21)} \\v\approx11.4812\approx11.5$

6 0

4 years ago

a certain virus infects one in every 600 people. a test used to detect the virus in a person is positive 90% of the time if the

Alona [7]

the probability that a person has the virus given that they have tested positive is 0.0151.
the probability that a person does not have the virus given that they have tested negative is 0.9999

P(A) = 1/600 = 0.0017

P(B) = 0.9 * 0.0017 + 0.1 * (1 - 0.0017) = 0.1014

A) P (has the virus | tested positive) = P (tested positive | has the virus) ×

P (has the virus)/ P (tested positive)

= 0.9 × 0.0017/0.1014

= 0.0151

B) P (does not have the virus | tested negative) = P (tested negative | does not have the virus) × P (does not have the virus)/ P (tested negative)

= (1 - 0.1) *× (1 - 0.0017)/ (1 - 0.1014)

= 0.9999

Probability is the department of mathematics regarding numerical descriptions of ways likely an occasion is to occur, or how possibly it's far that a proposition is genuine. The possibility of an occasion varies between zero and 1, wherein, roughly speaking, 0 suggests the impossibility of the occasion and 1 shows certainty. The better the possibility of an event, the more likely it is that the event will arise.

A simple instance is the tossing of an honest (unbiased) coin. since the coin is truthful, the 2 results ("heads" and "tails") are both equally likely; the possibility of "heads" equals the chance of "tails"; and considering the fact that no different results are feasible, the possibility of both "heads" or "tails" is 1/2 (that could additionally be written as 0.5 or 50%).

To learn more about Probability visit here:

brainly.com/question/11234923

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6 0

1 year ago