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Gekata [30.6K]
2 years ago
11

HELP PLEEEASEEE

Mathematics
2 answers:
Anna007 [38]2 years ago
3 0

The answer is 0.027, you are correct. 0.3 to the third power means 0.3 x 0.3 x 0.3 and that equals 0.027

laiz [17]2 years ago
3 0
It’s 0.027 because you are multiply 0.3 by itself 3times
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Lung cancer is the leading cause of cancer-related deaths in the United States. Researchers examined the idea of testing all Med
Sidana [21]

Answer:

a. P(C) = 0.03

   P(test+ | C) = 0.89

   P(test- | no C) = 0.93

b. Tree diagram is attached.

c. P(test+) = 0.0946

d. P(C | test+) = 0.2822  

Step-by-step explanation:

a. Let C denote Lung Cancer The probability that a heavy smoker will develop lung cancer is 3% i.e. 0.03.

If lung cancer is present, the CT scan result comes out to be positive 89% of the times while if lung cancer is not present, the results are negative 93% of the time. Let test+ denote that the test result is positive and test- denote that the test result is negative.

P(C) = 0.03

P(test+ | C) = 0.89

P(test- | no C) = 0.93

b. The first pair of branches represent whether the individual has cancer or not.

P(C) = 0.03

P(no C) = 1 - 0.03 = 0.97

The second pair of branches will represent if the test result came out positive or negative.

For patients with cancer, P(test+) = 0.89, P(test-) = 1 - 0.89 = 0.11

For patients with no cancer, P(test -) = 0.93, P(test+)= 1 - 0.93 = 0.07.

The tree diagram is attached as an image file.

c. P(test+) = P(C)*P(test+| C) + P(No C)*P(test+| No C)

                                = (0.03)(0.89) + (0.97)(0.07)

                                = 0.0267 + 0.0679

    P(test+) = 0.0946

d. P(C | test+) = P(C ∩ test+) / P(test+)

                       = P(C)*P(test+ | C) / P(test+)

                       = (0.03)*(0.89) / 0.0946

    P(C | test+) = 0.2822  

7 0
3 years ago
Which graph shows the new position of the rectangle after a translation? Rectangle with coordinates: (0, negative 1), (0, negati
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As you can see in the screenshot, once you plot the points for each rectangle, it becomes easier to see what's happening.  In the first transformation, the rectangle is translated or slid.  In the next 2 transformations, the rectangle is rotated.  In the last transformation, the rectangle is dilated or shrunk.  The first rectangle is the only translation.

8 0
3 years ago
Find the sum of the first six terms of the geometric series 1 + 4 + 16 + ...
Mrac [35]

Answer:

1365

Step-by-step explanation:

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12) Perry worked 3 hours at Pet Smart on Saturday. He gets paid an hourly rate. He got
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Step-by-step explanation:

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2 years ago
Find the critical numbers of the function. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer
lyudmila [28]

If

f(\theta)=10\cos\theta+5\sin^2\theta

then the derivative is

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Critical points occur where f'(\theta)=0. This happens for

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In the first case, we find

-10\sin\theta=0\implies\sin\theta=0\implies\theta=n\pi

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1-\cos\theta=0\implies\cos\theta=1\implies\theta=2n\pi

So all the critical points occur at multiples of \pi, or n\pi. (This includes all the even multiples of \pi.)

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3 years ago
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