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Anvisha [2.4K]
4 years ago
13

Write an equation of a line that is parel to 3/4x + 1 and passes through the point (4, -2).

Mathematics
1 answer:
Alenkinab [10]4 years ago
7 0

Parallel lines have the same slope.

We have the line y = 3/4x + 1.

Then the equation of a parallel line is y = 3/4x + b.

The line passes through the point (4, -2). Put the coordinates of the point to the equation of a line:

-2 = 3/4(4) + b

-2 = 3 + b      <em>subtract 3 from both sides</em>

-5 = b

<h3>Answer: y = 3/4x - 5</h3>
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Apparently, depression significantly increases the risk of developing dementia later in life (BBC News, July 6, 2010). In a rece
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Answer:

  • <em><u>0.126</u></em>

<em><u></u></em>

Explanation:

<u>1. Determine the percent of people who developed dementia from the entire population. </u>

a)<u> From the percent of people who had depression</u>:

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b) <u>From the number of people who did not have depression</u>:

  • 90% × 17% = 15.3%

c) <u>Total percent:</u>

  • 2.2% + 15.3% 17.5% of all people developed dementia.

<u>2. Probability that the person suffered from depression earlier in life, if a person has developed dementia:</u>

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Note, that this can be calculated using the formula for conditional probability:

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Where:

  • A is having suffered depression
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  • P(A∩B) = 22% ₓ 10% = 2.2% = 0.022

  • P(B) = 22% × 10% + 17% × 90% = 17.5% = 0.175

  • P(A/B) = P(A∩B) / P(B) = 0.022 / 0.175 = 0.126
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We are given that popularity of television is inversely proportional to its cost.

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P= \frac{22500}{2500}

P=9

So there will be 9 customers that buy a television which costs $2500.

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