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svet-max [94.6K]
3 years ago
8

Find the common ratio of the sequence -164, -82, -41, -20.5

Mathematics
1 answer:
Aleks [24]3 years ago
5 0

Answer:

r = \frac{1}{2}

Step-by-step explanation:

The common ratio r of a geometric sequence is

r = \frac{a_{2} }{a_{1} } = \frac{a_{3} }{a_{2} } = \frac{a_{4} }{a_{3} } = ......

r = \frac{-82}{-164} = \frac{-41}{-82} = \frac{1}{2}

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Assume a test for a disease has a probability 0.05 of incorrectly identifying an individual as infected (False Positive), and a
Nana76 [90]

Answer:

0.00002 = 0.002% probability of actually having the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Having the disease

Probability of having a positive test:

0.05 of 1 - 0.000001(false positive)

0.99 of 0.000001 positive. So

P(A) = 0.05*(1 - 0.000001) + 0.99*0.000001 = 0.05000094

Probability of a positive test and having the disease:

0.99 of 0.000001. So

P(A \cap B) = 0.99*0.000001 = 9.9 \times 10^{-7}

What is the probability of actually having the disease

P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{9.9 \times 10^{-7}}{0.05000094} = 0.00002

0.00002 = 0.002% probability of actually having the disease

6 0
3 years ago
The graph of which equation will intercept the y-axis at 1?
kipiarov [429]

Answer: 5x+2y=2

Step-by-step explanation:

5x+2y=2 move 5x to the other side

2y=-5x+2 divide the other side by the 2 from 2y

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4 0
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Answer:

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Step-by-step explanation:

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x = -15/41

Best of Luck!

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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