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Scrat [10]
3 years ago
8

The line y = 5x/3 + b goes through the point (7, –1). What is the value of b?

Mathematics
1 answer:
mars1129 [50]3 years ago
3 0

Answer:

y=\frac{5}{3} x-\frac{38}{3}

the value of b is -38/3

Step-by-step explanation:

y=\frac{5}{3} x+b goes through the point (7,-1)

we need to find out b for the given equation using (7,-1)

Plug in 7 for x  and -1 for y

y=\frac{5}{3} x+b

-1=\frac{5}{3} (7)+b

-1=\frac{35}{3}+b

subtract 35/3 from both sides

-1 -\frac{35}{3} =b

\frac{-38}{3} =b

Replace it in the original equation

y=\frac{5}{3} x-\frac{38}{3}

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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
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Answer:

a. P(C) = 0.03

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b. Tree diagram is attached.

c. P(test+) = 0.0946

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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.

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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  

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2 years ago
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Step-by-step explanation:

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2 years ago
​write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)
Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

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Thus,

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If desired, this can be further simplified into

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Learn more on Simplifying logarithms here: brainly.com/question/17851187

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1 year ago
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2 years ago
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